@Preamble{
"\let \k = \relax"
# "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
# "\ifx \undefined \cdprime \def \cdprime{$''$} \fi"
# "\ifx \undefined \cprime \def \cprime{$'$} \fi"
# "\ifx \undefined \cyr \let \cyr = \rm \fi"
# "\ifx \undefined \k \let \k = \c \fi"
# "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi"
# "\ifx \undefined \mathfrak \let \mathfrak = \mathcal \fi"
# "\ifx \undefined \url \input{path.sty} \fi"
}
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|https://www.math.utah.edu/~beebe/|"}
@String{j-ACTA-OPHTHALMOL = "Acta Ophthalmologica"}
@String{j-ADV-APPL-MATH = "Advances in Applied Mathematics"}
@String{j-ADV-MATH = "Advances in Mathematics"}
@String{j-AM-J-PHYSIOL = "American Journal of Physiology"}
@String{j-AM-SCI = "American Scientist"}
@String{j-AMER-J-PHYSICS = "American Journal of Physics"}
@String{j-AMER-J-PSYCHOLOGY = "American Journal of Psychology"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-APPL-PROBAB = "Annals of applied probability"}
@String{j-ANN-FINANCE = "Annals of Finance"}
@String{j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST = "Annales de l'Institut Henri
Poincar{\'e}, Probabilit{\'e}s et
Statistiques"}
@String{j-ANN-MATH = "Annals of Mathematics"}
@String{j-ANN-MATH-STAT = "Annals of Mathematical Statistics"}
@String{j-ANN-NY-ACAD-SCI = "Annals of the New York Academy of Sciences"}
@String{j-ANN-TELECOMMUN = "Annales des T{\'e}l{\'e}communications"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-ASTRO-NACHR = "Astronomische Nachrichten"}
@String{j-BELL-LABS-TECH-J = "Bell Labs Technical Journal"}
@String{j-BER-BUNSENGES-PHYS-CHEM = "Berichte der Bunsen-Gesellschaft fuer
Physikalische Chemie, 1963--1990"}
@String{j-BERNOULLI = "Bernoulli: official journal of the Bernoulli
Society for Mathematical Statistics
and Probability"}
@String{j-BIOMETRIKA = "Biometrika"}
@String{j-BIOPHYS-J = "Biophysical Journal"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
@String{j-BRITISH-J-HIST-SCI = "British Journal for the History of Science"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical Society"}
@String{j-BULL-INST-MATH-APPL = "Bulletin of the Institute of Mathematics and
its Applications"}
@String{j-BYTE = "BYTE Magazine"}
@String{j-C-R-ACAD-SCI-I = "Comptes rendus de l'Acad{\'e}mie des
sciences. S{\'e}rie I, Math{\'e}matique"}
@String{j-C-R-ACAD-SCI-PARIS = "Comptes rendus de l'Acad{\'e}mie des
sciences, Paris"}
@String{j-C-R-ACAD-SCI-PARIS-SER-AB = "Comptes Rendus Hebdomadaires des
S{\'e}ances de l'Acad{\'e}mie des
Sciences. S{\'e}ries A et B"}
@String{j-CACM = "Communications of the Association for
Computing Machinery"}
@String{j-CAN-J-FOR-RES = "Canadian Journal of Forest Research = Journal
canadien de la recherche foresti{\`e}re"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics = Journal
canadien de math{\'e}matiques"}
@String{j-CAN-J-PHYS = "Canadian Journal of Physics = Journal
canadien de physique"}
@String{j-CAN-MATH-BULL = "Canadian Mathematical Bulletin = Bulletin
canadien de math{\'e}matiques"}
@String{j-CGF = "Computer Graphics Forum"}
@String{j-CLIN-PHARMACOL-THER = "Clinical Pharmacology and Therapeutics"}
@String{j-COLLEGE-MATH-J = "College Mathematics Journal"}
@String{j-COMP-GRAPHICS = "Computer Graphics"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-MUSIC-J = "Computer Music Journal"}
@String{j-COMP-NET-AMSTERDAM = "Computer Networks (Amsterdam, Netherlands:
1999)"}
@String{j-COMP-NET-ISDN = "Computer Networks and ISDN Systems"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMP-VIS-IMAGE-UNDERSTANDING = "Computer Vision and Image
Understanding: CVIU"}
@String{j-COMPLEXITY = "Complexity"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics with Applications"}
@String{j-COMPUT-STAT-DATA-ANAL = "Computational Statistics \& Data Analysis"}
@String{j-COMPUTERS-AND-GRAPHICS = "Computers and Graphics"}
@String{j-COMPUTING = "Computing: Archiv f{\"u}r Informatik und
Numerik"}
@String{j-CPE = "Concurrency: Prac\-tice and Experience"}
@String{j-CRYST-RES-TECHNOL = "Crystal Research and Technology"}
@String{j-CUJ = "C Users Journal"}
@String{j-CVGIP = "Computer Vision, Graphics, and Image
Processing"}
@String{j-CVGIP-GMIP = "Computer Vision, Graphics, and Image
Processing. Graphical Models and Image
Processing"}
@String{j-CYBERNETICS-SYSTEMS = "Cybernetics and Systems"}
@String{j-DDJ = "Dr. Dobb's Journal of Software Tools"}
@String{j-EARTH-SURF-PROCESSES = "Earth Surface Processes"}
@String{j-EARTH-SURF-PROCESSES-LANDFORMS = "Earth Surface Processes and
Landforms"}
@String{j-ECONOMETRICA = "Econometrica"}
@String{j-ECONOMIST = "The Economist"}
@String{j-ELECT-LETTERS = "Electronics Letters"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis (ETNA)"}
@String{j-EMBO-J = "The {EMBO} Journal"}
@String{j-EUR-PHYS-J-B = "European Physical Journal B: Condensed Matter
and Complex Systems"}
@String{j-EUR-PHYS-J-SPEC-TOP = "European Physical Journal --- Special
Topics"}
@String{j-EYE = "Eye"}
@String{j-FIB-QUART = "Fibonacci Quarterly"}
@String{j-FOURIER-ANAL-APPL = "Journal of {Fourier} Analysis and
Applications"}
@String{j-FRACTALS = "Fractals"}
@String{j-FUT-GEN-COMP-SYS = "Future Generation Computer Systems"}
@String{j-GAZ-MATH = "Gazette des Math{\'e}maticiens"}
@String{j-GEOPHYS-J-R-ASTRON-SOC = "Geophysical Journal of the {Royal
Astronomical Society}"}
@String{j-HIST-MATH = "Historia Mathematica"}
@String{j-HYDROBIOLOGIA = "Hydrobiologia"}
@String{j-IBM-JRD = "IBM Journal of Research and Development"}
@String{j-IEEE-CGA = "IEEE Computer Graphics and Applications"}
@String{j-IEEE-TRANS-COMMUN-TECHNOL = "IEEE Transactions on Communications Technology"}
@String{j-IEEE-DISTRIB-SYST-ONLINE = "IEEE Distributed Systems Online"}
@String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"}
@String{j-IEEE-TRANS-INF-THEORY = "IEEE Transactions on Information Theory"}
@String{j-IEEE-TRANS-NETWORKING = "IEEE\slash ACM Transactions on Networking"}
@String{j-IEEE-TRANS-VIS-COMPUT-GRAPH = "IEEE Transactions on Visualization
and Computer Graphics"}
@String{j-IJQC = "International Journal of Quantum Chemistry"}
@String{j-IMA-J-APPL-MATH = "IMA Journal of Applied Mathematics"}
@String{j-IMA-J-NUMER-ANAL = "IMA Journal of Numerical Analysis"}
@String{j-INF-CONTROL = "Information and Control"}
@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INFO-PROC-MAN = "Information Processing and Management"}
@String{j-INT-ECON-REV = "International Economic Review"}
@String{j-INT-J-FRACTURE = "International Journal of Fracture"}
@String{j-INT-J-PARALLEL-PROG = "International Journal of Parallel
Programming"}
@String{j-INT-J-PURE-APPL-MATH = "International Journal of Pure and Applied
Mathematics"}
@String{j-INT-STAT-REV = "International Statistical Review =
Revue Internationale de Statistique"}
@String{j-INT-STUD-PHILOS-SCI = "International Studies in the Philosophy of
Science"}
@String{j-INTERNET-MATH = "Internet Mathematics"}
@String{j-IRE-TRANS-INF-THEORY = "IRE Transactions on Information Theory"}
@String{j-J-ACM = "Journal of the Association for Computing
Machinery"}
@String{j-J-ACOUST-SOC-AM = "Journal of the Acoustical Society of
America"}
@String{j-J-AM-SOC-INF-SCI = "Journal of the American Society for
Information Science"}
@String{j-J-AM-STAT-ASSOC = "Journal of the American Statistical
Association"}
@String{j-J-APPL-PROBAB = "Journal of Applied Probability"}
@String{j-J-BUS-UNIV-CHIC = "The Journal of Business at the {University of
Chicago}"}
@String{j-J-CEREB-BLOOD-FLOW-METAB = "Journal of Cerebral Blood Flow and
Metabolism"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-DOC = "Journal of Documentation"}
@String{j-J-ECON-LIT = "Journal of Economic Literature"}
@String{j-J-FLUID-MECH = "Journal of Fluid Mechanics"}
@String{j-J-HUM-HYPERTENS = "Journal of Human Hypertension"}
@String{j-J-HYDROL = "Journal of Hydrology"}
@String{j-J-INST-MATH-APPL = "Journal of the Institute of Mathematics and
its Applications"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-MATH-PURES-APPL = "Journal de Math{\'e}matiques Pures et
Appliqu{\'e}es"}
@String{j-J-PERIODONTAL-RES = "Journal of Periodontal Research"}
@String{j-J-PHYS-A = "Journal of Physics A (Mathematical and
General)"}
@String{j-J-PLANKTON-RES = "Journal of Plankton Research"}
@String{j-J-R-STAT-SOC-SER-A-GENERAL = "Journal of the Royal Statistical
Society. Series A (General)"}
@String{j-J-STAT-PHYS = "Journal of Statistical Physics"}
@String{j-J-SYST-SOFTW = "The Journal of Systems and Software"}
@String{j-J-THEOR-PROBAB = "Journal of Theoretical Probability"}
@String{j-J-VIS-COMP-ANIMATION = "Journal of Visualization and Computer
Animation"}
@String{j-JAVAWORLD = "JavaWorld: IDG's magazine for the Java
community"}
@String{j-LANGUAGE = "Language: journal of the Linguistic Society of America"}
@String{j-LECT-NOTES-COMP-SCI = "Lecture Notes in Computer Science"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LEONARDO = "Leonardo (Oxford, England)"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and Its Applications"}
@String{j-MAT-ZAMETKI = "Matematicheskie Zametki"}
@String{j-MATH-COMP-MODELLING = "Mathematical and Computer Modelling"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-GAZ = "Mathematical Gazette"}
@String{j-MATH-INTEL = "The Mathematical Intelligencer"}
@String{j-MATH-LOGIC-QUART = "Mathematical Logic Quarterly: MLQ"}
@String{j-MATH-MAG = "Mathematics Magazine"}
@String{j-MATH-PROC-CAMB-PHILOS-SOC = "Mathematical Proceedings of the Cambridge
Philosophical Society"}
@String{j-MATH-TEACH = "The Mathematics Teacher"}
@String{j-MOL-PSYCHIATRY = "Molecular Psychiatry"}
@String{j-NAMS = "Notices of the American Mathematical
Society"}
@String{j-NATURE = "Nature"}
@String{j-NATURE-BIOTECH = "Nature Biotechnology"}
@String{j-NATURE-COMMUN = "Nature Communications"}
@String{j-NATURE-MATER = "Nature Materials"}
@String{j-NATURE-REV-CARDIOL = "Nature Reviews Cardiology"}
@String{j-NATURE-REV-MOL-CELL-BIOL = "Nature Reviews Molecular Cell Biology"}
@String{j-NEW-SCIENTIST = "New Scientist"}
@String{j-NORMAT = "Normat: Nordisk matematisk tidskrift"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-NUOVO-CIMENTO-10 = "Il Nuovo Cimento (10)"}
@String{j-NY-TIMES = "New York Times"}
@String{j-OPER-RES = "Operations Research"}
@String{j-OPTICAL-ENG = "Optical Engineering"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-PARALLEL-PROCESS-LETT = "Parallel Processing Letters"}
@String{j-PEDIATRIC-RES = "Pediatric Research"}
@String{j-PERFORM-INSTR = "Performance + Instruction"}
@String{j-PHYS-EDUC = "Physics Education"}
@String{j-PHYS-FLUIDS = "Physics of Fluids"}
@String{j-PHYS-PERSPECT = "Physics in Perspective (PIP)"}
@String{j-PHYS-REV-A = "Physical Review A (Atomic, Molecular, and
Optical Physics)"}
@String{j-PHYS-REV-E = "Physical Review E (Statistical physics,
plasmas, fluids, and related
interdisciplinary topics)"}
@String{j-PHYS-REV-LET = "Physical Review Letters"}
@String{j-PHYS-TODAY = "Physics Today"}
@String{j-PHYSICA-A = "Physica A"}
@String{j-PHYSICA-D = "Physica D, Nonlinear phenomena"}
@String{j-PHYSICA-SCRIPTA = "Physica Scripta"}
@String{j-POLYMER-J-TOKYO = "Polymer Journal (Tokyo, Japan)"}
@String{j-PROBAB-THEORY-RELAT-FIELDS = "Probability theory and related fields"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical Society"}
@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
Sciences of the United States of America"}
@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
Society of London. Series A,
Mathematical and physical sciences"}
@String{j-PROC-SPIE = "Proceedings of the SPIE --- The International
Society for Optical Engineering"}
@String{j-PROC-SYMP-PURE-MATH = "Proceedings of Symposia in Pure Mathematics"}
@String{j-PURE-APPL-GEOPHYS = "Pure and Applied Geophysics"}
@String{j-Q-J-ECON = "The Quarterly Journal of Economics"}
@String{j-Q-REV-BIOL = "Quarterly review of biology"}
@String{j-QUANT-FINANCE = "Quantitative Finance"}
@String{j-RECHERCHE = "La Recherche"}
@String{j-RES-DEV = "Research \& Development"}
@String{j-REV-ECON-STAT = "Review of Economics and Statistics"}
@String{j-REV-MOD-PHYS = "Reviews of Modern Physics"}
@String{j-RISKNEWS = "RiskNews"}
@String{j-RUSS-J-MATH-PHYS = "Russian Journal of Mathematical Physics"}
@String{j-SCI-AMER = "Scientific American"}
@String{j-SCIENCE = "Science"}
@String{j-SCIENTOMETRICS = "Scientometrics"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-IMAGING-SCI = "SIAM Journal on Imaging Sciences"}
@String{j-SIAM-J-MATH-ANA = "SIAM Journal on Mathematical Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-REVIEW = "SIAM Review"}
@String{j-SIGMETRICS = "ACM SIGMETRICS Performance Evaluation
Review"}
@String{j-SIGMOD = "SIGMOD Record (ACM Special Interest
Group on Management of Data)"}
@String{j-SIGPLAN = "ACM SIGPLAN Notices"}
@String{j-SOV-PHYS-USP = "Soviet Physics. Uspekhi"}
@String{j-STAT-SCI = "Statistical Science"}
@String{j-STOCH-PROC-APPL = "Stochastic Processes and Their Applications"}
@String{j-STUD-HIST-PHILOS-SCI = "Studies in History and Philosophy of Science
{Part A}"}
@String{j-SYNTHESE = "Synthese"}
@String{j-SYST-RES-BEHAV-SCI = "Systems Research and Behavioral Science"}
@String{j-TEORET-MATH-FIZ = "Teoreticheskaya i Matematicheskaya Fizika"}
@String{j-THEOR-COMP-SCI = "Theoretical Computer Science"}
@String{j-THEORY-PROBAB-APPL = "Theory of Probability and its Applications"}
@String{j-TOG = "ACM Transactions on Graphics"}
@String{j-TOMACS = "ACM Transactions on Modeling and Computer
Simulation"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical Society"}
@String{j-TRANS-IRE-PROF-GROUP-INF-THEORY = "Transaction of the {IRE}
Professional Group on Information Theory
{PGIT}"}
@String{j-TRAV-HUM = "Le Travail Humain"}
@String{j-TUGboat = "TUGboat"}
@String{j-WATER-RESOUR-RES = "Water Resources Research"}
@String{j-WIRED = "Wired"}
@String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Mechanik}"}
@String{j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB = "{Zeitschrift f{\"u}r
Wahrscheinlichkeitstheorie und
verwandte Gebiete}"}
@String{pub-A-K-PETERS = "A. K. Peters, Ltd."}
@String{pub-A-K-PETERS:adr = "Wellesley, MA, USA"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACADEMIC:adr-B = "Boston, MA, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-ADAM-HILGER = "Adam Hilger Ltd."}
@String{pub-ADAM-HILGER:adr = "Bristol, UK"}
@String{pub-AIP = "American Institute of Physics"}
@String{pub-AIP:adr = "Woodbury, NY, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-BASIC-BOOKS = "Basic Books"}
@String{pub-BASIC-BOOKS:adr = "New York, NY, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"}
@String{pub-BIRKHAUSER:adr = "Basel, Switzerland"}
@String{pub-BUTTERWORTHS = "Butterworths"}
@String{pub-BUTTERWORTHS:adr = "London, UK"}
@String{pub-CAMBRIDGE = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr = "Cambridge, UK"}
@String{pub-CRC = "CRC Press"}
@String{pub-CRC:adr = "2000 N.W. Corporate Blvd., Boca Raton,
FL 33431-9868, USA"}
@String{pub-ELS = "Elsevier Science Publishers B.V."}
@String{pub-ELS:adr = "Amsterdam, The Netherlands"}
@String{pub-ELSEVIER = "Elsevier"}
@String{pub-ELSEVIER:adr = "Amsterdam, The Netherlands"}
@String{pub-FARRAR = "Farrar, Strauss, and Giroux"}
@String{pub-FARRAR:adr = "New York, NY, USA"}
@String{pub-IEEE = "IEEE Computer Society Press"}
@String{pub-IEEE:adr = "1109 Spring Street, Suite 300,
Silver Spring, MD 20910, USA"}
@String{pub-KLUWER = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht, The
Netherlands"}
@String{pub-LITTLE-BROWN = "Little, Brown and Co."}
@String{pub-LITTLE-BROWN:adr = "Boston, MA, USA"}
@String{pub-MIT = "MIT Press"}
@String{pub-MIT:adr = "Cambridge, MA, USA"}
@String{pub-MORGAN-KAUFMANN = "Morgan Kaufmann Publishers"}
@String{pub-MORGAN-KAUFMANN:adr = "Los Altos, CA 94022, USA"}
@String{pub-NORTH-HOLLAND = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"}
@String{pub-PANTHEON = "Pantheon Books"}
@String{pub-PANTHEON:adr = "New York, NY, USA"}
@String{pub-PENGUIN-PRESS = "Penguin"}
@String{pub-PENGUIN-PRESS:adr = "New York, NY, USA"}
@String{pub-PERGAMON = "Pergamon"}
@String{pub-PERGAMON:adr = "New York, NY, USA"}
@String{pub-PLENUM = "Plenum Press"}
@String{pub-PLENUM:adr = "New York, NY, USA; London, UK"}
@String{pub-PRINCETON = "Princeton University Press"}
@String{pub-PRINCETON:adr = "Princeton, NJ, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@String{pub-SV:adr-B = "Berlin, Germany"}
@String{pub-SV:adr-NY = "New York, NY, USA"}
@String{pub-TAYLOR-FRANCIS = "Taylor and Francis"}
@String{pub-TAYLOR-FRANCIS:adr = "London, UK and Boca Raton, FL, USA"}
@String{pub-U-CAL = "University of California Press"}
@String{pub-U-CAL:adr = "Berkeley, CA, USA"}
@String{pub-W-H-FREEMAN = "W. H. {Freeman and Company}"}
@String{pub-W-H-FREEMAN:adr = "New York, NY, USA"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York, NY, USA"}
@String{pub-WORLD-SCI = "World Scientific Publishing"}
@String{pub-WORLD-SCI:adr = "Singapore; Philadelphia, PA, USA; River
Edge, NJ, USA"}
@String{ser-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{ser-LNCS = "Lecture Notes in Computer Science"}
@String{ser-LNM = "Lecture Notes in Mathematics"}
@String{ser-LNP = "Lecture Notes in Physics"}
@String{ser-LNPAM = "Lecture Notes in Pure and Applied
Mathematics"}
@String{ser-NATO-ASI-C = "NATO ASI series C: Mathematical and
physical sciences"}
@MastersThesis{Mandelbrot:1949:SPP,
author = "Beno{\^\i}t Mandelbrot",
title = "Some potential problems arising in the theory of axial
turbomachines",
type = "{Masters of Science in Aeronautics}",
school = "California Institute of Technology",
address = "Pasadena, CA, USA",
pages = "42",
year = "1949",
bibdate = "Mon Sep 10 14:42:45 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
advisor = "Frank E. Marble",
remark = "Degree awarded in 1948.",
}
@Article{Mandelbrot:1951:ADMa,
author = "Beno{\^\i}t Mandelbrot",
title = "Adaptation du message {\`a} la ligne de transmission.
{I}. {Quanta} d'information. ({French}) [{Adaptation}
of the message to the transmission line. {I}. {Quanta}
of information]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "232",
number = "??",
pages = "1638--1640",
month = "????",
year = "1951",
CODEN = "????",
ISSN = "????",
MRclass = "62.0X",
MRnumber = "0040640 (12,727b)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1951:ADMb,
author = "Beno{\^\i}t Mandelbrot",
title = "Adaptation du message {\`a} la ligne de transmission.
{II}. {Interpr{\'e}}tations physiques. ({French})
[{Adaptation} of the message to the transmission line.
{II}. {Physical} interpretation]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "232",
number = "??",
pages = "2003--2005",
month = "????",
year = "1951",
CODEN = "????",
ISSN = "????",
MRclass = "60.0X",
MRnumber = "0041383 (12,840e)",
MRreviewer = "J. L. Doob",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@PhdThesis{Mandelbrot:1952:CTM,
author = "Beno{\^\i}t Mandelbrot",
title = "Contribution {\`a} la th{\'e}orie math{\'e}matique des
communications. ({French}) [{Contribution} to the
mathematical theory of communications]",
type = "{Docteur d'{\'E}tat {\`e}s Sciences
Math{\'e}matiques}",
school = "Facult{\'e} des Sciences de l'Universit{\'e} de
Paris",
address = "Paris, France",
year = "1952",
bibdate = "Sat Sep 08 18:55:08 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://genealogy.math.ndsu.nodak.edu/id.php?id=60791",
acknowledgement = ack-nhfb,
advisor = "Paul Pierre L{\'e}vy",
language = "French",
}
@Article{Mandelbrot:1952:DMF,
author = "Beno{\^\i}t Mandelbrot",
title = "Les d{\'e}mons de {Maxwell}. ({French}) [{Maxwell}'s
demons]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "234",
number = "??",
pages = "1842--1844",
month = "????",
year = "1952",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 11:39:20 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0046.20009",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
keywords = "{classical thermodynamics, heat transfer}",
language = "French",
}
@Article{Mandelbrot:1952:NGI,
author = "Beno{\^\i}t Mandelbrot",
title = "Sur la notion g{\'e}n{\'e}rale d'information et la
dur{\'e}e intrins{\`e}que d'une strat{\'e}gie.
({French}) [{On} the general notion of information and
the intrinsic duration of a strategy]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "234",
number = "??",
pages = "1345--1347",
month = "????",
year = "1952",
CODEN = "????",
ISSN = "????",
MRclass = "60.0X",
MRnumber = "0046608 (13,761e)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1953:CTM,
author = "Beno{\^\i}t Mandelbrot",
title = "Contribution {\`a} la th{\'e}orie math{\'e}matique des
jeux de communication. ({French}) [{Contribution} to
the mathematical theory of communication games]",
journal = "Publications de {l'Institut de statistique de
l'Universit{\'e} de Paris}",
volume = "2",
number = "1--2",
pages = "124",
month = "????",
year = "1953",
CODEN = "????",
ISSN = "????",
MRclass = "60.0X",
MRnumber = "0057495 (15,238i)",
MRreviewer = "S. Sherman",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
xxpages = "300",
}
@InProceedings{Mandelbrot:1953:ITS,
author = "Beno{\^\i}t B. Mandelbrot",
editor = "Willis Jackson",
booktitle = "{Communication theory: papers read at a Symposium on
``Applications of Communication Theory'' held at the
Institution of Electrical Engineers, London, September
22nd--26th 1952}",
title = "An Informational Theory of the Statistical Structure
of Languages",
publisher = pub-BUTTERWORTHS,
address = pub-BUTTERWORTHS:adr,
bookpages = "xii + 532",
pages = "486--502",
year = "1953",
LCCN = "Q350 .S92 1952",
bibdate = "Wed Nov 16 09:37:30 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://lccn.loc.gov/53004215;
http://www.nytimes.com/2010/10/17/us/17mandelbrot.html",
acknowledgement = ack-nhfb,
remark = "The paper is incorrectly referenced as a book in
\cite{Baek:2011:ZLU}. Mandelbrot got his Master of
Science in Aeronautics at CalTech in 1948, and his
Docteur d'{\'E}tat {\`e}s Sciences Math{\'e}matiques in
1952 in Paris, so perhaps this is a translation of his
thesis work.",
}
@Article{Mandelbrot:1954:CSF,
author = "Beno{\^\i}t Mandelbrot",
title = "Corrections: Structure formelle des textes et
communications [deux {\'e}tudes]. ({French})
[{Corrections}: {Formal} structure of text and
communications [two studies]]",
journal = "Word",
volume = "11",
number = "??",
pages = "424--??",
month = "????",
year = "1954",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 17:15:49 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "See \cite{Mandelbrot:1954:SFT}.",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1954:SFT,
author = "Beno{\^\i}t Mandelbrot",
title = "Structure formelle des textes et communications [deux
{\'e}tudes]. ({French}) [{Formal} structure of text and
communications [two studies]]",
journal = "Word",
volume = "10",
number = "??",
pages = "1--27",
month = "????",
year = "1954",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 17:15:49 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "See corrections \cite{Mandelbrot:1954:CSF}.",
acknowledgement = ack-nhfb,
language = "French",
remark = "Translated into English, Czech, and Italian.",
}
@Article{Mandelbrot:1954:SGS,
author = "Beno{\^\i}t Mandelbrot",
title = "Simple games of strategy occurring in communication
through natural languages",
journal = j-TRANS-IRE-PROF-GROUP-INF-THEORY,
volume = "3",
number = "3",
pages = "124--137",
month = "????",
year = "1954",
CODEN = "????",
DOI = "https://doi.org/10.1109/IREPGIT.1954.6373405",
ISSN = "2168-2690",
bibdate = "Sat Sep 8 11:42:23 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0059.13802",
acknowledgement = ack-nhfb,
fjournal = "Transaction of the {IRE} Professional Group on
Information Theory {PGIT}",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4547596",
keywords = "Biomathematik; Finanzmathematik;
Versicherungsmathematik",
}
@InProceedings{Mandelbrot:1955:RNL,
author = "Beno{\^\i}t Mandelbrot",
booktitle = "Proceedings of the symposium on information networks.
{New York, April, 1954}",
title = "On recurrent noise limiting coding",
publisher = "Polytechnic Institute of Brooklyn",
address = "Brooklyn, NY, USA",
pages = "205--221",
year = "1955",
MRclass = "62.0X",
MRnumber = "0071698 (17,170h)",
MRreviewer = "E. Reich",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1955:TPC,
author = "Beno{\^\i}t Mandelbrot",
title = "Th{\'e}orie de la pr{\'e}-correction des erreurs de
transmission (th{\'e}or{\`e}me de {A. Feinstein}).
({French}) [{Theory} of the precorrection of
transmission errors (theorem of {A. Feinstein})]",
journal = j-ANN-TELECOMMUN,
volume = "10",
number = "??",
pages = "122--134",
month = "????",
year = "1955",
CODEN = "ANTEAU",
ISSN = "0003-4347 (print), 1958-9395 (electronic)",
ISSN-L = "0003-4347",
MRclass = "78.0X",
MRnumber = "0072033 (17,218d)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/x45p11282n5j9327/fulltext.pdf",
acknowledgement = ack-nhfb,
fjournal = "Annales des T{\'e}l{\'e}communications",
language = "French",
}
@Article{Mandelbrot:1956:DWY,
author = "Beno{\^\i}t Mandelbrot",
title = "La distribution de {Willis--Yule}, relative aux
nombres d'esp{\`e}ces dans les genres biologiques.
({French}) [{The} {Willis--Yule} distribution, relative
to the number of species of biological types]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "242",
number = "??",
pages = "2223--2226",
month = "????",
year = "1956",
CODEN = "????",
ISSN = "????",
MRclass = "92.0X",
MRnumber = "0077863 (17,1106i)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1956:EET,
author = "Beno{\^\i}t Mandelbrot",
title = "Exhaustivit{\'e} de l'{\'e}nergie totale d'un
syst{\`e}me en {\'e}quilibre, pour l'estimation de sa
temperature. ({French}) [Exhaustivity of the total
energy of a system in equilibrium for the estimation of
its temperature]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "243",
number = "??",
pages = "1835--1838",
month = "????",
year = "1956",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 11:50:12 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0072.21001",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
keywords = "heat transfer; thermodynamics",
language = "French",
reviewer = "H. K{\"u}mmel",
}
@InProceedings{Mandelbrot:1956:LTO,
author = "Beno{\^\i}t Mandelbrot",
editor = "C. Cherry",
booktitle = "Information Theory: the Third {London} Symposium",
title = "On the language of taxonomy: an outline of a
thermo-statistical theory of systems of categories,
with {Willis} (natural) structure",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "135--145",
year = "1956",
LCCN = "????",
bibdate = "Mon Sep 10 17:19:09 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1956:PPT,
author = "Beno{\^\i}t Mandelbrot",
title = "A purely phenomenological theory of statistical
thermodynamics: {I}. {Canonical} ensembles",
journal = j-IRE-TRANS-INF-THEORY,
volume = "2",
number = "3",
pages = "190--203",
month = "????",
year = "1956",
CODEN = "IRITAY",
DOI = "https://doi.org/10.1109/TIT.1956.1056804",
ISSN = "0096-1000",
bibdate = "Mon Sep 10 17:21:48 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "IRE transactions on information theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4547527",
}
@Book{Apostel:1957:LLT,
author = "Leo Apostel and Beno{\^\i}t B. Mandelbrot and Albert
Morf",
title = "Logique, langage et th{\'e}orie de l'information",
publisher = "Presses Universitaires de France",
address = "Paris, France",
pages = "207",
year = "1957",
LCCN = "BC199.E7 A6",
bibdate = "Mon Sep 10 13:48:13 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
xxpages = "173",
}
@Article{Mandelbrot:1957:ISV,
author = "Beno{\^\i}t Mandelbrot",
title = "{Der Ingenieur als Stratege: Verhaltenstheorien. (Eine
Definition der Kybernetik und ihre Anwendung in der
Linguistik)}. ({German}) [{The} engineer as a
strategist: behavioral theories. ({A} definition of
cybernetics and its application in linguistics)]",
journal = "Nachrichtentechnische Fachberichte",
volume = "3",
number = "??",
pages = "32--39",
month = "????",
year = "1957",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 11:48:00 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0081.14701",
acknowledgement = ack-nhfb,
keywords = "mathematical biology; operations research",
language = "German",
}
@Book{Mandelbrot:1957:LSM,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Linguistique statistique macroscopique. Th{\'e}orie
math{\'e}matique de la loi de Zipf (bas{\'e}e sur les
m{\'e}thodes de la th{\'e}orie de l'information et de
la thermodynamique). ({French}) [{Statistical}
macroscopic linguistics. {Mathematical} theory of
{Zipf's Law} (based on methods from the theory of
information and from thermodynamics)]",
publisher = "Institut Henri Poincar{\'e}, S{\'e}minaire de calcul
des probabilit{\'e}s",
address = "Paris, France",
pages = "58",
year = "1957",
LCCN = "????",
bibdate = "Sat Sep 8 15:40:34 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
jenson.stanford.edu:2210/unicorn",
acknowledgement = ack-nhfb,
language = "French",
remark = "Summary in English.",
subject = "Information theory",
}
@Article{Mandelbrot:1957:NLB,
author = "Beno{\^\i}t Mandelbrot",
title = "A note on a law of {Berry} and on insistence stress",
journal = j-INF-CONTROL,
volume = "1",
number = "1",
pages = "76--81",
month = sep,
year = "1957",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(57)90094-3",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995857900943",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1959:EGC,
author = "Beno{\^\i}t Mandelbrot",
title = "Les ensembles grand-canoniques de {Gibbs};
justification de leur unicit{\'e}, bas{\'e}e sur la
divisibilit{\'e} infinie de leur {\'e}nergie
al{\'e}atoire. ({French}) [{Gibbs} grand canonical
ensembles, based on the infinite divisibility of their
random energy]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "249",
number = "??",
pages = "1464--1466",
month = "????",
year = "1959",
CODEN = "????",
ISSN = "????",
MRclass = "82.00",
MRnumber = "0111221 (22 \#2085)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0096.23103",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1959:ISI,
author = "Beno{\^\i}t Mandelbrot",
title = "Information sans Interpretation dans la Description
des Langues {R}{\'e}elles. ({French}) [{Information}
without interpretation in the description of real
languages]",
journal = j-SYNTHESE,
volume = "11",
number = "2",
pages = "160--166",
month = jun,
year = "1959",
CODEN = "SYNTAE",
DOI = "https://doi.org/10.1007/BF00485577",
ISSN = "0039-7857 (print), 1573-0964 (electronic)",
ISSN-L = "0039-7857",
bibdate = "Mon Sep 25 11:59:45 MDT 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/synthese1950.bib",
URL = "http://link.springer.com/article/10.1007/BF00485577;
http://www.jstor.org/stable/20114289;
http://www.springerlink.com/content/r10332532461x0r7/",
acknowledgement = ack-nhfb,
fjournal = "Synthese",
journal-URL = "http://link.springer.com/journal/11229",
language = "French",
}
@Article{Mandelbrot:1959:NCS,
author = "Beno{\^\i}t Mandelbrot",
title = "A note on a class of skew distribution functions:
Analysis and critique of a paper by {H. A. Simon}",
journal = j-INF-CONTROL,
volume = "2",
number = "1",
pages = "90--99",
month = apr,
year = "1959",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(59)90098-1",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
MRclass = "94.00",
MRnumber = "0120082 (22 \#10839)",
MRreviewer = "I. J. Good",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
note = "See \cite {Simon:1955:CSD}.",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995859900981",
ZMnumber = "Zbl 0101.11303",
abstract = "This note is a discussion of H. A. Simon's model
(1955) concerning the class of frequency distributions
generally associated with the name of G. K. Zipf. The
main purpose is to show that Simon's model is
analytically circular in the case of the linguistic
laws of Estoup--Zipf and Willis--Yule. Insofar as the
economic law of Pareto is concerned, Simon has himself
noted that his model is a particular case of that of
Champernowne; this is correct, with some reservation. A
simplified version of Simon's model is included.",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
remark = "This paper is one of a three-year debate between
Beno{\^\i}t Mandelbrot \cite
{Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF}
and Herbert Simon \cite
{Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.",
}
@Article{Mandelbrot:1959:SML,
author = "B. Mandelbrot",
title = "Statistical macro-linguistics",
journal = j-NUOVO-CIMENTO-10,
volume = "13",
number = "2 (supplemento)",
pages = "518--520",
month = "????",
year = "1959",
CODEN = "NUCIAD",
ISSN = "0029-6341 (print), 1827-6121 (electronic)",
ISSN-L = "0029-6341",
MRclass = "94.00",
MRnumber = "0122643 (22 \#13366)",
MRreviewer = "H. Kucera",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/xt67n3181h87336t/",
acknowledgement = ack-nhfb,
fjournal = "Il Nuovo Cimento (10)",
journal-URL = "http://link.springer.com/journal/11583",
}
@Article{Mandelbrot:1959:VPSa,
author = "Beno{\^\i}t Mandelbrot",
title = "Variables et processus stochastiques de
{Pareto--L{\'e}vy}, et la r{\'e}partition des revenus.
({French}) [{Pareto--L{\'e}vy} variables and
stochastics processes]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "249",
number = "??",
pages = "613--615",
month = "????",
year = "1959",
CODEN = "????",
ISSN = "????",
MRclass = "60.00 (90.00)",
MRnumber = "0121842 (22 \#12572)",
MRreviewer = "T. Haavelmo",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1959:VPSb,
author = "Beno{\^\i}t Mandelbrot",
title = "Variables et processus stochastiques de
{Pareto--L{\'e}vy}, et la r{\'e}partition des revenus.
({French}) [{Pareto--L{\'e}vy} variables and
stochastics processes, and the repartition of
incomes]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "249",
number = "??",
pages = "2153--2155",
month = "????",
year = "1959",
CODEN = "????",
ISSN = "????",
MRclass = "90.00",
MRnumber = "0109739 (22 \#625)",
MRreviewer = "T. Haavelmo",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0092.37504",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1960:BRB,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {S. Bochner, \booktitle{Lectures on
Fourier Integrals}, (with an Author's Supplement on
Monotonic Functions, Stieltjes Integrals and Harmonic
Analysis). (Translated from the original 1932 German
edition by M. Tenenbaum and H. Pollard) \$5.00. Annals
of Mathematics Study No. 421959, Princeton University
Press New York, 333 pp., \$5.00}",
journal = j-INF-CONTROL,
volume = "3",
number = "1",
pages = "94--95",
month = mar,
year = "1960",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(60)90332-6",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995860903326",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
remark = "This paper is one of a three-year debate between
Beno{\^\i}t Mandelbrot \cite
{Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF}
and Herbert Simon \cite
{Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.",
}
@Article{Mandelbrot:1960:BRJa,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {John Chadwick, \booktitle{The
Decipherment of Linear B} (1958) Cambridge University
Press}",
journal = j-INF-CONTROL,
volume = "3",
number = "1",
pages = "95--96",
month = mar,
year = "1960",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(60)90347-8",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995860903478",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1960:BRJb,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {John G. Kemeny and J. Laurie Snell,
\booktitle{Finite Markov Chains} (1960) van Nostrand,
New York, viii + 210 pp., \$5.00}",
journal = j-INF-CONTROL,
volume = "3",
number = "2",
pages = "205--206",
month = jun,
year = "1960",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(60)90809-3",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995860908093",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1960:BRM,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {Mark Kac, \booktitle{Statistical
Independence in Probability, Analysis and Number
Theory} \$3.00, Carus Mathematical Monograph No. 12
(1959), John Wiley, Cambridge, Massachusetts 93 pp.}",
journal = j-INF-CONTROL,
volume = "3",
number = "1",
pages = "98--100",
month = mar,
year = "1960",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(60)90377-6",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S00199958609076",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1960:BRR,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {Robert V. Hogg and Allen B. Craig,
\booktitle{Introduction to Mathematical Statistics}
(from a series of mathematics texts under the general
editorship of C. B. Allendoerfer), x + 245 pp., \$6.75
(1959) Macmillan, New York}",
journal = j-INF-CONTROL,
volume = "3",
number = "2",
pages = "207--208",
month = jun,
year = "1960",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(60)90822-6",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995860908226",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1960:PLL,
author = "Beno{\^\i}t Mandelbrot",
title = "The {Pareto--L{\'e}vy} law and the distribution of
income",
journal = j-INT-ECON-REV,
volume = "1",
number = "2",
pages = "79--106",
month = may,
year = "1960",
CODEN = "INERAE",
ISSN = "0020-6598 (print), 1468-2354 (electronic)",
ISSN-L = "0020-6598",
bibdate = "Wed Nov 23 11:07:01 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://www.ingenta.com/journals/browse/bpl/iere;
http://www.jstor.org/stable/2525289",
ZMnumber = "Zbl 0201.51101",
acknowledgement = ack-nhfb,
fjournal = "International Economic Review",
journal-URL = "http://www.jstor.org/journal/inteeconrevi",
}
@Article{Mandelbrot:1960:PSL,
author = "Beno{\^\i}t Mandelbrot",
title = "Processus stochastiques {\`a} loi stable positive,
permanents, markoviens, stationnaires (non additifs).
({French}) [{Stochastic} processes with positive stable
law, permanent, {Markov}, stationary (non-additive)]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "250",
number = "??",
pages = "451--453",
month = "????",
year = "1960",
CODEN = "????",
ISSN = "????",
MRclass = "60.00",
MRnumber = "0121841 (22 \#12571)",
MRreviewer = "H. P. McKean, Jr.",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0092.34601",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1960:TDI,
author = "Beno{\^\i}t Mandelbrot",
title = "Teoria Della Informazione",
journal = j-INF-CONTROL,
volume = "3",
number = "4",
pages = "384--386",
month = dec,
year = "1960",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(60)91045-7",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995860910457",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Gelernter:1961:BRM,
author = "H. L. Gelernter and Beno{\^\i}t Mandelbrot",
title = "Book Review: {S. M. Ulam, \booktitle{A Collection of
Mathematical Problems}, (Tracts in Pure and Applied
Mathematics, Number 8) \$5.00, 1960 Interscience, New
York 150}",
journal = j-INF-CONTROL,
volume = "4",
number = "1",
pages = "81--82",
month = mar,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80040-5",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800405",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1961:BRBa,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {{\booktitle{Contributions to Probability
and Statistics: Essays in Honor of Harold Hotelling}}
(Ingram Olkin, Sudhist G. Ghurye, Wassily Hoeffding,
William G. Madow, and Henry B. Mann, eds.)}",
journal = j-SIAM-REVIEW,
volume = "3",
number = "1",
pages = "80--80",
month = jan,
year = "1961",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1003016",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:04:39 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/3/1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/siread/v3/i1/p80/s1;
http://www.jstor.org/stable/2027260",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1961",
}
@Article{Mandelbrot:1961:BRBb,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {{\booktitle{Mathematical Methods in the
Social Sciences, 1959, Proceedings of the First
Stanford Symposium}} (Kenneth J. Arrow, Samuel Karlin,
and Patrick Suppes, eds.)}",
journal = j-SIAM-REVIEW,
volume = "3",
number = "1",
pages = "80--81",
month = jan,
year = "1961",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1003017",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:04:39 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/3/1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/siread/v3/i1/p80/s2;
http://www.jstor.org/stable/2027261",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1961",
}
@Article{Mandelbrot:1961:BRBc,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {{\booktitle{Information and Decision
Processes}} (Robert E. Machol, ed.)}",
journal = j-SIAM-REVIEW,
volume = "3",
number = "2",
pages = "182--183",
month = apr,
year = "1961",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1003036",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:04:41 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/3/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/siread/v3/i2/p182/s1;
http://www.jstor.org/stable/2027402",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "April 1961",
}
@Article{Mandelbrot:1961:BRBd,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {{\booktitle{La Theorie Physique au Sens
de Boltzmann}} (Ren{\'e} Dugas)}. ({French})
[{{\booktitle{The Physical Theory According to
Boltzmann}} (Ren{\'e} Dugas)}]",
journal = j-SIAM-REVIEW,
volume = "3",
number = "2",
pages = "183--184",
month = apr,
year = "1961",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1003037",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:04:41 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/3/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/siread/v3/i2/p183/s1;
http://www.jstor.org/stable/2027403",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
language = "French",
onlinedate = "April 1961",
}
@Article{Mandelbrot:1961:BRG,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {Gustav Herdan, \booktitle{Type Token
Mathematics}, (Janua Linguarum, Series Maior, IV) (+
110 pp. of indices and tables of functions). 54 Dutch
GL, approx. \$14.00. A Textbook of Mathematical
Linguistics 1960 Mouton \& Cie, New York and London, iv
+ 110 pp. of indices and tables of functions}",
journal = j-INF-CONTROL,
volume = "4",
number = "1",
pages = "83--85",
month = mar,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80041-7",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800417",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1961:BRK,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {A. N.Kolmogoroff and W. M.Tichomirow,
\booktitle{Entropy and Capacity of Sets in Function
Spaces}. Translated by P. Franken and K. Nawrotzki from
the Russian original which appeared in 1960. 80 pp.,
price unknown. Text in German: {Arbeiten zur
Informationstheorie, III Entropid und Kapazit{\"a}t von
Mengen in Funktionalra{\"u}men}. Uspekhi Mat. Nauk 14,
1959 Deutscher Verlag der Wissenschaften 386, 1960}",
journal = j-INF-CONTROL,
volume = "4",
number = "2--3",
pages = "227--228",
month = sep,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80012-0",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800120",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1961:CDH,
author = "Beno{\^\i}t Mandelbrot",
title = "Comment on {Dr. Herdan}'s letter",
journal = j-INF-CONTROL,
volume = "4",
number = "2--3",
pages = "241",
month = sep,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80017-X",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S001999586180017X",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1961:FNC,
author = "Beno{\^\i}t Mandelbrot",
title = "Final note on a class of skew distribution functions:
{Analysis} and critique of a model due to {H. A.
Simon}",
journal = j-INF-CONTROL,
volume = "4",
number = "2--3",
pages = "198--216",
month = sep,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80008-9",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
MRclass = "62.97",
MRnumber = "0135192 (24 \#B1242)",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800089",
ZMnumber = "Zbl 0103.12503",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
remark = "This paper is one of a three-year debate between
Beno{\^\i}t Mandelbrot \cite
{Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF}
and Herbert Simon \cite
{Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.",
}
@Article{Mandelbrot:1961:PSF,
author = "Beno{\^\i}t Mandelbrot",
title = "Post scriptum to {``Final note''}",
journal = j-INF-CONTROL,
volume = "4",
number = "2--3",
pages = "300--304",
month = sep,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80025-9",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
MRclass = "62.00",
MRnumber = "0135194 (24 \#B1244)",
bibdate = "Sat Sep 8 16:48:47 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800259",
ZMnumber = "Zbl 0103.12602",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
remark = "This paper is one of a three-year debate between
Beno{\^\i}t Mandelbrot \cite
{Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF}
and Herbert Simon \cite
{Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.",
}
@Article{Mandelbrot:1961:SPR,
author = "Beno{\^\i}t Mandelbrot",
title = "Stable {Paretian} Random Functions and the
Multiplicative Variation of Income",
journal = j-ECONOMETRICA,
volume = "29",
number = "4",
pages = "517--543",
month = oct,
year = "1961",
CODEN = "ECMTA7",
ISSN = "0012-9682",
MRclass = "90.10",
MRnumber = "0144782 (26 \#2323)",
MRreviewer = "H. Wold",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1911802",
ZMnumber = "Zbl 0104.38402",
acknowledgement = ack-nhfb,
fjournal = "Econometrica",
journal-URL = "http://www.jstor.org/journal/econometrica",
}
@InCollection{Mandelbrot:1961:TWF,
author = "Beno{\^\i}t Mandelbrot",
editor = "R. Jakobson",
booktitle = "Structures of language and its mathematical aspects",
title = "On the theory of word frequencies and on related
{Markovian} models of discourse",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "120--219",
year = "1961",
LCCN = "????",
bibdate = "Mon Sep 10 17:24:34 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1962:BRB,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {B. V. Gnedenko, \booktitle{The Theory of
Probability}, translated by B. D. Seckler, \$8.75, 2nd
ed. 1962, Chelsea, New York 459}",
journal = j-INF-CONTROL,
volume = "5",
number = "2",
pages = "173",
month = jun,
year = "1962",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(62)90334-0",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995862903340",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1962:CPS,
author = "Beno{\^\i}t Mandelbrot",
title = "Sur certains prix sp{\'e}culatifs: faits empiriques et
mod{\`e}le bas{\'e} sur les processus stables additifs
non gaussiens de {Paul L{\'e}vy}. ({French}) [{On}
certain speculative prices: empirical evidence and
model-based additive non-{Gaussian} stable processes of
{Paul L{\'e}vy}]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "254",
number = "??",
pages = "3968--3970",
month = "????",
year = "1962",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 11:57:07 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0100.34904",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
keywords = "{applications of probability theory and statistics}",
language = "French",
}
@Article{Mandelbrot:1962:PDI,
author = "Beno{\^\i}t Mandelbrot",
title = "{Paretian} Distributions and Income Maximization",
journal = j-Q-J-ECON,
volume = "76",
number = "1",
pages = "57--85",
month = feb,
year = "1962",
CODEN = "QJECAT",
ISSN = "0033-5533 (print), 1531-4650 (electronic)",
ISSN-L = "0033-5533",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1891131",
acknowledgement = ack-nhfb,
fjournal = "The Quarterly Journal of Economics",
}
@Article{Mandelbrot:1962:RSE,
author = "Beno{\^\i}t Mandelbrot",
title = "The Role of Sufficiency and of Estimation in
Thermodynamics",
journal = j-ANN-MATH-STAT,
volume = "33",
number = "3",
pages = "1021--1038",
month = sep,
year = "1962",
CODEN = "AASTAD",
ISSN = "0003-4851 (print), 2168-8990 (electronic)",
ISSN-L = "0003-4851",
MRclass = "82.99",
MRnumber = "0143592 (26 \#1145)",
MRreviewer = "S. Ono",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2237878",
ZMnumber = "Zbl 0111.33705",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematical Statistics",
journal-URL = "http://projecteuclid.org/all/euclid.aoms/",
}
@TechReport{Mandelbrot:1962:SNR,
author = "Beno{\^\i}t Mandelbrot",
title = "Statistics of natural resources and the law of
{Pareto}",
type = "Research Note",
number = "NC-146",
institution = "IBM",
address = "Yorktown Heights, NY, USA",
day = "29",
month = jun,
year = "1962",
bibdate = "Mon Sep 10 17:35:59 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1963:BRJ,
author = "Beno{\^\i}t Mandelbrot",
title = "Book Review: {Joseph P. La Salle, Solomon Lefschetz,
Editors, \booktitle{Recent Soviet Contributions to
Mathematics} (1962) Macmillan, 324 pp.}",
journal = j-INF-CONTROL,
volume = "6",
number = "3",
pages = "310--311",
month = sep,
year = "1963",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(63)90418-2",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995863904182",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
}
@Article{Mandelbrot:1963:NMSa,
author = "Beno{\^\i}t Mandelbrot",
title = "New Methods in Statistical Economics",
journal = "Journal of Political Economy",
volume = "71",
number = "5",
pages = "421--440",
month = oct,
year = "1963",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Reprinted in \cite{Mandelbrot:1963:NMSb}.",
URL = "http://www.jstor.org/stable/1829014",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1963:NMSb,
author = "Beno{\^\i}t Mandelbrot",
title = "New Methods in Statistical Economics",
journal = "Bulletin of the {International Statistical Institute},
{Ottawa} Session",
volume = "40",
number = "2",
pages = "669--720",
month = "????",
year = "1963",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 17:39:24 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Reprint of \cite{Mandelbrot:1963:NMSa}.",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1963:SPI,
author = "Beno{\^\i}t Mandelbrot",
title = "The Stable {Paretian} Income Distribution when the
Apparent Exponent is Near Two",
journal = j-INT-ECON-REV,
volume = "4",
number = "1",
pages = "111--115",
month = jan,
year = "1963",
CODEN = "INERAE",
ISSN = "0020-6598 (print), 1468-2354 (electronic)",
ISSN-L = "0020-6598",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2525463",
acknowledgement = ack-nhfb,
fjournal = "International Economic Review",
journal-URL = "http://www.jstor.org/journal/inteeconrevi",
}
@Article{Mandelbrot:1963:VCSa,
author = "Beno{\^\i}t Mandelbrot",
title = "The Variation of Certain Speculative Prices",
journal = j-J-BUS-UNIV-CHIC,
volume = "36",
number = "4",
pages = "394--419",
month = oct,
year = "1963",
CODEN = "????",
ISSN = "0021-9398 (print), 1537-5374 (electronic)",
ISSN-L = "0021-9398",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Reprinted in \cite{Mandelbrot:1963:VCSb}.",
URL = "http://www.jstor.org/stable/2350970",
acknowledgement = ack-nhfb,
fjournal = "The Journal of Business at the {University of
Chicago}",
}
@InCollection{Mandelbrot:1963:VCSb,
author = "Beno{\^\i}t Mandelbrot",
editor = "P. H. Cootner",
booktitle = "The random character of stock market prices",
title = "The Variation of Certain Speculative Prices",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "297--337",
year = "1963",
LCCN = "????",
bibdate = "Mon Sep 10 17:37:44 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Reprint of \cite{Mandelbrot:1963:VCSa}.",
acknowledgement = ack-nhfb,
}
@Article{Gerstein:1964:RWM,
author = "George L. Gerstein and Beno{\^\i}t Mandelbrot",
title = "Random Walk Models for the Spike Activity of a Single
Neuron",
journal = j-BIOPHYS-J,
volume = "4",
number = "1 (part 1)",
pages = "41--68",
month = jan,
year = "1964",
CODEN = "BIOJAU",
DOI = "https://doi.org/10.1016/S0006-3495(64)86768-0",
ISSN = "0006-3495 (print), 1542-0086 (electronic)",
ISSN-L = "0006-3495",
bibdate = "Fri Jun 07 07:21:35 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0006349564867680",
acknowledgement = ack-nhfb,
fjournal = "Biophysical Journal",
journal-URL = "http://www.cell.com/biophysj/archive",
}
@Article{Mandelbrot:1964:DST,
author = "Beno{\^\i}t Mandelbrot",
title = "On the Derivation of Statistical Thermodynamics from
Purely Phenomenological Principles",
journal = j-J-MATH-PHYS,
volume = "5",
number = "2",
pages = "164--171",
month = feb,
year = "1964",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1704105",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "82.62",
MRnumber = "0160598 (28 \#3809)",
MRreviewer = "F. C. Auluck",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1960.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v5/i2/p164_s1;
http://link.aip.org/link/jmapaq/v5/i2/p164/s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "22 December 2004",
pagecount = "8",
}
@Unpublished{Mandelbrot:1964:ECC,
author = "Beno{\^\i}t Mandelbrot",
title = "The epistemology of chance in certain newer sciences",
year = "1964",
bibdate = "Mon Sep 10 17:41:26 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Read at The Jerusalem International Congress on Logic,
Methodology and the Philosophy of Science",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1964:NMS,
author = "B. Mandelbrot",
title = "New methods in statistical economics",
journal = "Bull. Inst. Int. Stat.",
volume = "40",
number = "??",
pages = "699--721",
month = "????",
year = "1964",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 12:05:52 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0121.15105",
acknowledgement = ack-nhfb,
keywords = "operations research",
}
@Article{Mandelbrot:1964:RWF,
author = "Beno{\^\i}t Mandelbrot",
title = "Random Walks, Fire Damage Amount and Other {Paretian}
Risk Phenomena",
journal = j-OPER-RES,
volume = "12",
number = "4",
pages = "582--585",
month = aug,
year = "1964",
CODEN = "OPREAI",
ISSN = "0030-364X (print), 1526-5463 (electronic)",
ISSN-L = "0030-364X",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/167704",
acknowledgement = ack-nhfb,
fjournal = "Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/opre",
}
@TechReport{Mandelbrot:1964:SSR,
author = "Beno{\^\i}t Mandelbrot",
title = "Self-similar random processes and the range",
type = "Research Report",
number = "RC-1163",
institution = "IBM",
address = "Yorktown Heights, NY, USA",
day = "13",
month = apr,
year = "1964",
bibdate = "Mon Sep 10 17:42:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Kahane:1965:EMA,
author = "Jean-Pierre Kahane and Beno{\^\i}t Mandelbrot",
title = "Ensembles de multiplicit{\'e} al{\'e}atoires.
({French}) [{Sets} of random multiplicity]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "261",
number = "??",
pages = "3931--3933",
month = "????",
year = "1965",
CODEN = "????",
ISSN = "????",
MRclass = "42.99",
MRnumber = "0188702 (32 \#6138)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0135.27106",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Mandelbrot:1965:CPS,
author = "Beno{\^\i}t Mandelbrot",
title = "Une classe de processus stochastiques
homoth{\'e}tiques {\`a} soi; application {\`a} la loi
climatologique {H. E. Hurst}. ({French}) [{A} class of
stochastic self-homothetic processes]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "260",
number = "??",
pages = "3274--3277",
month = "????",
year = "1965",
CODEN = "????",
ISSN = "????",
MRclass = "60.69",
MRnumber = "0176521 (31 \#793)",
MRreviewer = "P. A. P. Moran",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0127.09501",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@InCollection{Mandelbrot:1965:ITP,
author = "Beno{\^\i}t Mandelbrot",
editor = "B. B. Wolman and E. N. Nagel",
booktitle = "Scientific Psychology: Principles and Approaches",
title = "Information theory and psycholinguistics",
publisher = pub-BASIC-BOOKS,
address = pub-BASIC-BOOKS:adr,
pages = "550--562",
year = "1965",
LCCN = "????",
bibdate = "Mon Sep 10 17:46:52 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
remark = "Reprinted in
\cite{Mandelbrot:1966:ITPa,Mandelbrot:1966:ITPb}",
}
@Article{Mandelbrot:1965:LSU,
author = "Beno{\^\i}t Mandelbrot",
title = "{Leo Szilard} and unique decipherability",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "IT-11",
number = "3",
pages = "455--456",
month = "????",
year = "1965",
CODEN = "IETTAW",
DOI = "https://doi.org/10.1109/TIT.1965.1053782",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Mon Sep 10 17:44:49 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/szilard-leo.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
received = "1 February 1965",
}
@Article{Mandelbrot:1965:SSE,
author = "Beno{\^\i}t Mandelbrot",
title = "Self similar error clus ters in communications systems
and the concept of conditional stationarity",
journal = j-IEEE-TRANS-COMMUN-TECHNOL,
volume = "13",
number = "1",
pages = "71--90",
month = "????",
year = "1965",
CODEN = "????",
DOI = "https://doi.org/10.1109/TCOM.1965.1089090",
ISSN = "????",
bibdate = "Mon Sep 10 17:43:33 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Communications Technology",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4547467",
}
@Article{Mandelbrot:1966:FFP,
author = "Beno{\^\i}t Mandelbrot",
title = "Forecasts of Future Prices, Unbiased Markets, and
``Martingale'' Models",
journal = j-J-BUS-UNIV-CHIC,
volume = "39",
number = "1",
pages = "242--255",
month = jan,
year = "1966",
CODEN = "????",
ISSN = "0021-9398 (print), 1537-5374 (electronic)",
ISSN-L = "0021-9398",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2351745",
acknowledgement = ack-nhfb,
fjournal = "The Journal of Business at the {University of
Chicago}",
}
@InCollection{Mandelbrot:1966:ITPa,
author = "Beno{\^\i}t Mandelbrot",
editor = "R. C. Oldfield and J. C. Marshall",
booktitle = "Language, Selected Readings",
title = "Information theory and psycholinguistics",
publisher = pub-PENGUIN-PRESS,
address = pub-PENGUIN-PRESS:adr,
pages = "??--??",
year = "1966",
LCCN = "????",
bibdate = "Mon Sep 10 17:48:09 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1966:ITPb,
author = "Beno{\^\i}t Mandelbrot",
editor = "P. Lazarsfeld and N. Henry",
booktitle = "Readings in Mathematical Social Science",
title = "Information theory and psycholinguistics",
publisher = "Science Research Associates",
address = "Chicago, IL, USA",
pages = "??--??",
year = "1966",
LCCN = "????",
bibdate = "Mon Sep 10 17:48:09 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Paperback edition issued in 1968.",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1966:NMV,
author = "Beno{\^\i}t Mandelbrot",
title = "Nouveaux mod{\'e}les de la variation des prix (Cycles
lents et changements instantan{\'e}s). ({French})
[{New} models of price changes (slow cycles and
instantaneous changes)]",
journal = "Cahiers du S{\'e}minaire d'{\'E}conom{\'e}trie",
volume = "??",
number = "9",
pages = "53--66",
month = "????",
year = "1966",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/20075411",
acknowledgement = ack-nhfb,
language = "French",
}
@InCollection{Mandelbrot:1967:CCD,
author = "Beno{\^\i}t Mandelbrot",
editor = "J. Martinet",
booktitle = "Encyclop{\'e}die de la Pl{\'e}iade: Linguistique",
title = "Les constantes chiffr{\'e}es du discours. ({French})
[The constant figures of speech]",
publisher = "Gallimard",
address = "Paris, France",
pages = "46--56",
year = "1967",
LCCN = "????",
bibdate = "Mon Sep 10 17:58:01 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1967:DSP,
author = "Beno{\^\i}t Mandelbrot and Howard M. Taylor",
title = "On the Distribution of Stock Price Differences",
journal = j-OPER-RES,
volume = "15",
number = "6",
pages = "1057--1062",
month = dec,
year = "1967",
CODEN = "OPREAI",
ISSN = "0030-364X (print), 1526-5463 (electronic)",
ISSN-L = "0030-364X",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/168611",
acknowledgement = ack-nhfb,
fjournal = "Operations Research",
journal-URL = "http://pubsonline.informs.org/loi/opre",
}
@InCollection{Mandelbrot:1967:EDH,
author = "Beno{\^\i}t Mandelbrot",
editor = "J. Piaget",
booktitle = "Encyclop{\'e}die de la Pl{\'e}iade: Logique et
Connaissance Scientifique",
title = "Sur l'{\'e}pist{\'e}mologie du hasard dans les
sciences sociales: invariance des lois et verification
des hypotheses",
publisher = "Gallimard",
address = "Paris, France",
pages = "1097--1113",
year = "1967",
bibdate = "Mon Sep 10 17:55:25 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1967:HLC,
author = "Beno{\^\i}t Mandelbrot",
title = "How Long Is the Coast of {Britain}? {Statistical}
Self-Similarity and Fractional Dimension",
journal = j-SCIENCE,
volume = "156",
number = "3775",
pages = "636--638",
day = "5",
month = may,
year = "1967",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.156.3775.636",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1721427;
http://www.sciencemag.org/content/156/3775/636.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Mandelbrot:1967:SNS,
author = "B. Mandelbrot",
title = "Some noises with $ 1 / f $ spectrum, a bridge between
direct current and white noise",
journal = j-IEEE-TRANS-INF-THEORY,
volume = "13",
number = "2",
pages = "289--298",
month = apr,
year = "1967",
CODEN = "IETTAW",
DOI = "https://doi.org/10.1109/TIT.1967.1053992",
ISSN = "0018-9448 (print), 1557-9654 (electronic)",
ISSN-L = "0018-9448",
bibdate = "Sat Sep 8 12:08:50 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0148.40507",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Information Theory",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18",
keywords = "communication; information",
}
@InCollection{Mandelbrot:1967:SRF,
author = "Beno{\^\i}t Mandelbrot",
booktitle = "{Proceedings of the Fifth Berkeley Symposium on
Mathematical Statistics and Probability (Berkeley,
California, 1965/66), Vol. III: Physical Sciences}",
title = "Sporadic random functions and conditional spectral
analysis: {Self-similar} examples and limits",
publisher = pub-U-CAL,
address = pub-U-CAL:adr,
pages = "155--179",
year = "1967",
MRclass = "62.85",
MRnumber = "0224243 (36 \#7287)",
MRreviewer = "M. M. Siddiqui",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0189.18302",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1967:ST,
author = "Beno{\^\i}t Mandelbrot",
title = "Sporadic Turbulence",
journal = j-PHYS-FLUIDS,
volume = "10",
number = "??",
pages = "5302--5303",
month = "????",
year = "1967",
CODEN = "PHFLE6",
ISSN = "1070-6631",
ISSN-L = "1070-6631",
bibdate = "Mon Sep 10 17:53:29 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Proceedings: Boundary Layers and Turbulence (Kyoto
International Symposium, 1966).",
URL = "http://link.aip.org/link/pfldas/v10/i9/pS302/s2",
acknowledgement = ack-nhfb,
fjournal = "Physics of Fluids",
journal-URL = "http://scitation.aip.org/content/aip/journal/pof1",
}
@Article{Mandelbrot:1967:VSO,
author = "Beno{\^\i}t Mandelbrot",
title = "The Variation of Some Other Speculative Prices",
journal = j-J-BUS-UNIV-CHIC,
volume = "40",
number = "4",
pages = "393--413",
month = oct,
year = "1967",
CODEN = "????",
ISSN = "0021-9398 (print), 1537-5374 (electronic)",
ISSN-L = "0021-9398",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2351623",
acknowledgement = ack-nhfb,
fjournal = "The Journal of Business at the {University of
Chicago}",
}
@Article{Mandelbrot:1968:FBM,
author = "Beno{\^\i}t B. Mandelbrot and John W. {Van Ness}",
title = "Fractional {Brownian} Motions, Fractional Noises and
Applications",
journal = j-SIAM-REVIEW,
volume = "10",
number = "4",
pages = "422--437",
month = oct,
year = "1968",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1010093",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "60.40",
MRnumber = "0242239 (39 \#3572)",
MRreviewer = "D. R. Brillinger",
bibdate = "Thu Mar 27 09:06:01 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/10/4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
ZMnumber = "Zbl 0179.47801",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "October 1968",
}
@Article{Mandelbrot:1968:NJO,
author = "Beno{\^\i}t Mandelbrot and J. R. Wallis",
title = "{Noah}, {Joseph} and operational hydrology",
journal = j-WATER-RESOUR-RES,
volume = "4",
number = "??",
pages = "909--918",
month = "????",
year = "1968",
CODEN = "WRERAQ",
ISSN = "0043-1397 (print), 1944-7973 (electronic)",
ISSN-L = "0043-1397",
bibdate = "Mon Sep 10 18:32:21 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Water Resources Research",
}
@Article{Mandelbrot:1968:SAR,
author = "Beno{\^\i}t Mandelbrot",
title = "Some Aspects of the Random walk Model of Stock Market
Prices: Comment",
journal = j-INT-ECON-REV,
volume = "9",
number = "2",
pages = "258--259",
month = jun,
year = "1968",
CODEN = "INERAE",
ISSN = "0020-6598 (print), 1468-2354 (electronic)",
ISSN-L = "0020-6598",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2525479",
acknowledgement = ack-nhfb,
fjournal = "International Economic Review",
journal-URL = "http://www.jstor.org/journal/inteeconrevi",
}
@Article{Mandelbrot:1969:CEF,
author = "Beno{\^\i}t Mandelbrot and J. R. Wallis",
title = "Computer experiments with fractional {Gaussian}
noises",
journal = j-WATER-RESOUR-RES,
volume = "5",
number = "??",
pages = "228--??",
month = "????",
year = "1969",
CODEN = "WRERAQ",
ISSN = "0043-1397 (print), 1944-7973 (electronic)",
ISSN-L = "0043-1397",
bibdate = "Mon Sep 10 18:33:31 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Water Resources Research",
}
@Article{Mandelbrot:1969:LRL,
author = "Beno{\^\i}t Mandelbrot",
title = "Long-run linearity, locally {Gaussian} process,
{$H$}-spectra and infinite variances",
journal = j-INT-ECON-REV,
volume = "10",
number = "1",
pages = "82--111",
month = feb,
year = "1969",
CODEN = "INERAE",
DOI = "https://doi.org/10.2307/2525574",
ISSN = "0020-6598 (print), 1468-2354 (electronic)",
ISSN-L = "0020-6598",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2525574",
ZMnumber = "Zbl 0191.51002",
acknowledgement = ack-nhfb,
fjournal = "International Economic Review",
journal-URL = "http://www.jstor.org/journal/inteeconrevi",
keywords = "operations research",
}
@Article{Mandelbrot:1969:RRR,
author = "Beno{\^\i}t Mandelbrot and J. R. Wallis",
title = "Robustness of the rescaled range {$ R / S $} in the
measurement of noncyclic long run statistical
dependence",
journal = j-WATER-RESOUR-RES,
volume = "5",
number = "??",
pages = "967--988",
month = "????",
year = "1969",
CODEN = "WRERAQ",
ISSN = "0043-1397 (print), 1944-7973 (electronic)",
ISSN-L = "0043-1397",
bibdate = "Mon Sep 10 18:34:56 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Water Resources Research",
}
@Article{Mandelbrot:1969:SLR,
author = "B. B. Mandelbrot and J. R. Wallis",
title = "Some long-run properties of geophysical records",
journal = j-WATER-RESOUR-RES,
volume = "5",
number = "??",
pages = "321--340",
month = "????",
year = "1969",
CODEN = "WRERAQ",
ISSN = "0043-1397 (print), 1944-7973 (electronic)",
ISSN-L = "0043-1397",
bibdate = "Mon Sep 10 16:47:18 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Water Resources Research",
}
@InCollection{Mandelbrot:1970:NTD,
author = "Beno{\^\i}t Mandelbrot",
editor = "E. B. Stuart and others",
booktitle = "Critical Review of Thermodynamics",
title = "On negative temperature for discourse. {Discussion} of
a paper by {Prof. N. F. Ramsey}",
publisher = "Mono Book",
address = "Baltimore, MD, USA",
pages = "230--232",
year = "1970",
LCCN = "????",
bibdate = "Mon Sep 10 18:01:26 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Mandelbrot:1970:SDP,
author = "Beno{\^\i}t Mandelbrot",
editor = "????",
booktitle = "{Papers of the Second World Congress of the
Econometric Society, Cambridge, England (8--14 Sept.
1970)}",
title = "Statistical dependence in prices and interest rates",
publisher = "Econometric Society",
address = "Cambridge, UK",
pages = "??--??",
year = "1970",
LCCN = "????",
bibdate = "Mon Sep 10 18:03:00 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Proceedings published in \booktitle{Econometrica} {\bf
39}(4) 1--266 (1970).",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1970:SPM,
author = "Beno{\^\i}t B. Mandelbrot and Keith McCamy",
title = "On the Secular Pole Motion and the {Chandler} Wobble",
journal = j-GEOPHYS-J-R-ASTRON-SOC,
volume = "21",
number = "2",
pages = "217--232",
month = nov,
year = "1970",
CODEN = "GEOJAN",
DOI = "https://doi.org/10.1111/j.1365-246X.1970.tb01777.x",
ISSN = "0956-540X (print), 1365-246X (electronic)",
ISSN-L = "0956-540X",
bibdate = "Mon Sep 10 18:29:08 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Geophysical Journal of the {Royal Astronomical
Society}",
journal-URL = "http://gji.oxfordjournals.org/",
onlinedate = "2 Apr 2007",
}
@Unpublished{Mandelbrot:1970:SSS,
author = "Beno{\^\i}t Mandelbrot",
title = "Statistical Self Similarity and Very Erratic Chance
Fluctuations",
year = "1970",
bibdate = "Mon Sep 10 18:04:10 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Trumbull Lectures, Yale University.",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1971:FFG,
author = "Beno{\^\i}t Mandelbrot",
title = "A fast fractional {Gaussian} noise generator",
journal = j-WATER-RESOUR-RES,
volume = "7",
number = "??",
pages = "543--553",
month = "????",
year = "1971",
CODEN = "WRERAQ",
ISSN = "0043-1397 (print), 1944-7973 (electronic)",
ISSN-L = "0043-1397",
bibdate = "Mon Sep 10 18:05:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Water Resources Research",
}
@Article{Mandelbrot:1971:LRN,
author = "Beno{\^\i}t Mandelbrot",
title = "Linear Regression With Non-Normal Error Terms: a
Comment",
journal = j-REV-ECON-STAT,
volume = "53",
number = "2",
pages = "205--206",
month = may,
year = "1971",
CODEN = "RECSA9",
ISSN = "0034-6535 (print), 1530-9142 (electronic)",
ISSN-L = "0034-6535",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1925721",
acknowledgement = ack-nhfb,
fjournal = "Review of Economics and Statistics",
}
@Article{Mandelbrot:1971:WCP,
author = "Beno{\^\i}t B. Mandelbrot",
title = "When Can Price be Arbitraged Efficiently? {A} Limit to
the Validity of the Random Walk and Martingale Models",
journal = j-REV-ECON-STAT,
volume = "53",
number = "3",
pages = "225--236",
month = aug,
year = "1971",
CODEN = "RECSA9",
ISSN = "0034-6535 (print), 1530-9142 (electronic)",
ISSN-L = "0034-6535",
MRclass = "90A99 (60G45)",
MRnumber = "0378737 (51 \#14903)",
MRreviewer = "Bradford R. Crain",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1937966",
acknowledgement = ack-nhfb,
ajournal = "Rev. Econom. Statist.",
fjournal = "Review of Economics and Statistics",
}
@Article{Mandelbrot:1972:BLP,
author = "Beno{\^\i}t Mandelbrot",
title = "Broken line process derived as an approximation to
fractional noise",
journal = j-WATER-RESOUR-RES,
volume = "8",
number = "??",
pages = "1354--1356",
month = "????",
year = "1972",
CODEN = "WRERAQ",
ISSN = "0043-1397 (print), 1944-7973 (electronic)",
ISSN-L = "0043-1397",
bibdate = "Mon Sep 10 18:09:02 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Water Resources Research",
}
@Article{Mandelbrot:1972:CEV,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Correction of an Error in ``The Variation of Certain
Speculative Prices'' (1963)",
journal = j-J-BUS-UNIV-CHIC,
volume = "45",
number = "4",
pages = "542--543",
month = oct,
year = "1972",
CODEN = "????",
ISSN = "0021-9398 (print), 1537-5374 (electronic)",
ISSN-L = "0021-9398",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2351576",
acknowledgement = ack-nhfb,
fjournal = "The Journal of Business at the {University of
Chicago}",
}
@Article{Mandelbrot:1972:DCC,
author = "Beno{\^\i}t B. Mandelbrot",
title = "On {Dvoretzky} coverings for the circle",
journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB,
volume = "22",
number = "2",
pages = "158--160",
month = "????",
year = "1972",
CODEN = "ZWVGAA",
DOI = "https://doi.org/10.1007/BF00532734",
ISSN = "0044-3719",
ISSN-L = "0044-3719",
MRclass = "60D05",
MRnumber = "0309163 (46 \#8273)",
MRreviewer = "M. M. Siddiqui",
bibdate = "Sat Apr 26 19:24:16 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib",
URL = "http://link.springer.com/article/10.1007/BF00532734",
ZMnumber = "Zbl 0222.60044",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und
verwandte Gebiete",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Mandelbrot:1972:HSM,
author = "A. K. Mandelbrot and K. Erb",
title = "Host Spectrum of the Mycoparasite Dimargaris
verticillata",
journal = "Mycologia",
volume = "64",
number = "5",
pages = "1124--1129",
month = oct,
year = "1972",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3758077",
acknowledgement = ack-nhfb,
}
@InProceedings{Mandelbrot:1972:PRL,
author = "Beno{\^\i}t B. Mandelbrot",
editor = "Murray Rosenblatt and Chester Murray {Van Atta}",
booktitle = "Statistical Models and Turbulence. {Proceedings of a
symposium held at the University of California, San
Diego (La Jolla), July 15--21, 1971}",
title = "Possible refinement of the lognormal hypothesis
concerning the distribution of energy dissipation in
intermittent turbulence",
volume = "12",
publisher = pub-SV,
address = pub-SV:adr,
pages = "333--351",
year = "1972",
ISBN = "0-387-05716-1 (New York), 3-387-05716-4 (Berlin)",
ISBN-13 = "978-0-387-05716-3 (New York), 978-3-387-05716-4
(Berlin)",
ISSN = "0075-8450 (print), 1616-6361 (electronic)",
ISSN-L = "0075-8450",
LCCN = "QC1 L47 no. 12",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNP,
URL = "http://www.springerlink.com/content/y0q6173605g21v8j/",
ZMnumber = "Zbl 0227.76081",
acknowledgement = ack-nhfb,
classmath = "76F05 (Isotropic turbulence; homogeneous turbulence)",
}
@Article{Mandelbrot:1972:RSR,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Renewal sets and random cutouts",
journal = j-PROBAB-THEORY-RELAT-FIELDS,
volume = "22",
number = "2",
pages = "145--157",
month = "????",
year = "1972",
CODEN = "PTRFEU",
ISSN = "0178-8051 (print), 1432-2064 (electronic)",
ISSN-L = "0178-8051",
MRclass = "60D05",
MRnumber = "0309162 (46 \#8272)",
MRreviewer = "M. M. Siddiqui",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/w3423987566u0872/",
ZMnumber = "Zbl 0234.60102",
acknowledgement = ack-nhfb,
fjournal = "Probability theory and related fields",
journal-URL = "http://link.springer.com/journal/440",
xxjournal = "Z. Wahrscheinlichkeitstheorie und Verw. Gebiete",
}
@Article{Mandelbrot:1972:SMN,
author = "Beno{\^\i}t Mandelbrot",
title = "Statistical methodology for nonperiodic cycles: from
the covariance to the {$ R / S $} analysis",
journal = "Annals of Economic and Social Measurement",
volume = "1",
number = "??",
pages = "259--290",
month = "????",
year = "1972",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 18:08:01 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Damerau:1973:TDW,
author = "F. J. Damerau and Beno{\^\i}t Mandelbrot",
title = "Tests of the degree of word clustering in samples of
written {English}",
journal = "Linguistics",
volume = "102",
number = "??",
pages = "58--75",
month = "????",
year = "1973",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 18:39:34 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1973:CSS,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Comments on: {``A subordinated stochastic process
model with finite variance for speculative prices''
(Econometrica {\bf 41} (1973), no. 1, 135--155), by
Peter K. Clark}",
journal = j-ECONOMETRICA,
volume = "41",
number = "1",
pages = "157--159",
month = jan,
year = "1973",
CODEN = "ECMTA7",
DOI = "https://doi.org/10.2307/1913890",
ISSN = "0012-9682",
MRclass = "62P20 (90A15)",
MRnumber = "0415945 (54 \#4022b)",
MRreviewer = "P. C. B. Phillips",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1913890",
ZMnumber = "Zbl 0308.90012",
acknowledgement = ack-nhfb,
classmath = "91B84 (Economic time series analysis) 62P20
(Applications of statistics to economics) 60K10
(Applications of renewal theory) 62M10 (Time series,
auto-correlation, regression, etc. (statistics))",
fjournal = "Econometrica",
journal-URL = "http://www.jstor.org/journal/econometrica",
xxpages = "157--160",
}
@Article{Mandelbrot:1973:FND,
author = "Beno{\^\i}t Mandelbrot",
title = "Formes nouvelles du hasard dans les sciences.
({French}) [{New} forms of chance in the sciences]",
journal = "{\'E}conomie Appliqu{\'e}e",
volume = "26",
number = "??",
pages = "307--319",
month = "????",
year = "1973",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 18:10:30 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1973:PRC,
author = "Beno{\^\i}t Mandelbrot",
title = "Le probl{\`e}me de la r{\'e}alit{\'e} des cycles
lents, et le syndrome de {Joseph}. ({French}) [{The}
problem of the reality of slow cycles, and the {Joseph}
syndrome]",
journal = "{\'E}conomie Appliqu{\'e}e",
volume = "26",
number = "??",
pages = "349--365",
month = "????",
year = "1973",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 18:11:38 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1973:SVI,
author = "Beno{\^\i}t Mandelbrot",
title = "Le syndrome de la variance infinie, et ses rapports
avec la discontinuit{\'e} des prix. ({French}) [{The}
syndrome of infinite variance, and its relationship
with price gaps]",
journal = "{\'E}conomie Appliqu{\'e}e",
volume = "26",
number = "??",
pages = "321--348",
month = "????",
year = "1973",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 18:13:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Book{Apostel:1974:LLT,
author = "Leo Apostel and Beno{\^\i}t B. Mandelbrot and Albert
Morf",
title = "Logique, langage et th{\'e}orie de l'information",
publisher = "Kraus reprint",
address = "Nendeln, Liechtenstein",
pages = "vi + 207",
year = "1974",
LCCN = "????",
bibdate = "Mon Sep 10 13:48:13 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1974:ITS,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Intermittent turbulence in self-similar cascades:
divergence of high moments and dimension of the
carrier",
journal = j-J-FLUID-MECH,
volume = "62",
number = "??",
pages = "331--358",
month = "????",
year = "1974",
CODEN = "JFLSA7",
DOI = "https://doi.org/10.1017/S0022112074000711",
ISSN = "0022-1120 (print), 1469-7645 (electronic)",
ISSN-L = "0022-1120",
bibdate = "Sat Sep 8 12:12:43 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0289.76031",
acknowledgement = ack-nhfb,
classmath = "76F05 (Isotropic turbulence; homogeneous turbulence)",
fjournal = "Journal of Fluid Mechanics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=FLM",
}
@Article{Mandelbrot:1974:MAIa,
author = "Beno{\^\i}t Mandelbrot",
title = "Multiplications al{\'e}atoires it{\'e}r{\'e}es et
distributions invariantes par moyenne pond{\'e}r{\'e}e
al{\'e}atoire. ({French}) [{Random} iterated
multiplications and invariant distributions by random
weighted mean]",
journal = "C. R. Acad. Sci. Paris S{\'e}r. A",
volume = "278",
number = "??",
pages = "289--292",
month = "????",
year = "1974",
CODEN = "????",
ISSN = "????",
MRclass = "60F15 (60G45 76.60)",
MRnumber = "0431351 (55 \#4352a)",
MRreviewer = "W. L. Steiger",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1974:MAIb,
author = "Beno{\^\i}t Mandelbrot",
title = "Multiplications al{\'e}atoires it{\'e}r{\'e}es et
distributions invariantes par moyenne pond{\'e}r{\'e}e
al{\'e}atoire: quelques extensions. ({French})
[{Random} iterated multiplications and invariant
distributions by random weighted mean: some
extensions]",
journal = "C. R. Acad. Sci. Paris S{\'e}r. A",
volume = "278",
number = "??",
pages = "355--358",
month = "????",
year = "1974",
CODEN = "????",
ISSN = "????",
MRclass = "60F15 (60G45 76.60)",
MRnumber = "0431352 (55 \#4352b)",
MRreviewer = "W. L. Steiger",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0276.60097",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1974:PBM,
author = "Beno{\^\i}t Mandelbrot",
title = "A Population Birth-and-Mutation Process, {I}: Explicit
Distributions for the Number of Mutants in an Old
Culture of Bacteria",
journal = j-J-APPL-PROBAB,
volume = "11",
number = "3",
pages = "437--444",
month = sep,
year = "1974",
CODEN = "JPRBAM",
DOI = "https://doi.org/10.2307/3212688",
ISSN = "0021-9002 (print), 1475-6072 (electronic)",
ISSN-L = "0021-9002",
MRclass = "60J70 (92A10)",
MRnumber = "0359035 (50 \#11490)",
MRreviewer = "Byron J. T. Morgan",
bibdate = "Sat May 3 07:41:45 MDT 2014",
bibsource = "http://www.jstor.org/stable/i361272;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/japplprobab.bib",
URL = "http://www.jstor.org/stable/3212688",
ZMnumber = "Zbl 0287.60093",
acknowledgement = ack-nhfb,
fjournal = "Journal of Applied Probability",
journal-URL = "http://www.jstor.org/journals/00219002.html",
}
@Article{Mandelbrot:1974:RBP,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Review: {{\booktitle{Random Processes: Multiplicity
Theory and Canonical Decomposition}} by Anthony
Ephremides, John B. Thomas}",
journal = j-AM-SCI,
volume = "62",
number = "6",
pages = "745--746",
month = nov,
year = "1974",
CODEN = "AMSCAC",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27845245",
acknowledgement = ack-nhfb,
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
}
@InCollection{Mandelbrot:1975:CCP,
author = "Beno{\^\i}t Mandelbrot",
title = "The conditional cosmographic principle and the
fractional dimension of the universe",
crossref = "Mandelbrot:1975:OFF",
pages = "??--??",
year = "1975",
bibdate = "Mon Sep 10 18:06:41 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1975:CLT,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Corrigendum: {``Limit theorems on the self-normalized
range for weakly and strongly dependent processes'' (Z.
Wahrscheinlichkeitstheorie Verw. Gebiete {\bf 31}
(1974\slash 75), 271--285)}",
journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB,
volume = "33",
number = "3",
pages = "220--220",
month = "????",
year = "1975",
CODEN = "ZWVGAA",
DOI = "https://doi.org/10.1007/BF00534968",
ISSN = "0044-3719",
ISSN-L = "0044-3719",
MRclass = "60F05",
MRnumber = "0423482 (54 \#11459b)",
MRreviewer = "G. K. Eagleson",
bibdate = "Sat Apr 26 19:25:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib",
note = "See \cite{Mandelbrot:1975:LTSa}.",
URL = "http://link.springer.com/accesspage/article/10.1007/BF00534968",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und
verwandte Gebiete",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Mandelbrot:1975:FAP,
author = "Beno{\^\i}t Mandelbrot",
title = "Fonctions al{\'e}atoires pluri-temporelles:
approximation poissonienne du cas brownien et
g{\'e}n{\'e}ralisations. ({French}) [{Random}
multi-temporal functions: {Poisson} approximation of
the {Brownian} case and generalizations]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "280",
number = "??",
pages = "A1075--A1078",
month = "????",
year = "1975",
CODEN = "CHASAP",
ISSN = "0151-0509",
MRclass = "60J65",
MRnumber = "0388559 (52 \#9395)",
MRreviewer = "S. J. Taylor",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0341.60008",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}ries A et B",
language = "French",
}
@Article{Mandelbrot:1975:GHT,
author = "Beno{\^\i}t B. Mandelbrot",
title = "On the geometry of homogeneous turbulence, with stress
on the fractal dimension of the iso-surfaces of
scalars",
journal = j-J-FLUID-MECH,
volume = "72",
number = "??",
pages = "401--416",
month = "????",
year = "1975",
CODEN = "JFLSA7",
DOI = "https://doi.org/10.1017/S0022112075003047",
ISSN = "0022-1120 (print), 1469-7645 (electronic)",
ISSN-L = "0022-1120",
bibdate = "Sat Sep 8 12:12:43 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0329.76047",
acknowledgement = ack-nhfb,
classmath = "76F05 (Isotropic turbulence; homogeneous turbulence)",
fjournal = "Journal of Fluid Mechanics",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=FLM",
}
@Article{Mandelbrot:1975:IQC,
author = "Beno{\^\i}t Mandelbrot",
title = "Hasards et tourbillons: quatre contes {\`a} clef.
({French}) [{Chance} and turbulence: four stories in
key]",
journal = "Annales des Mines",
volume = "??",
number = "??",
pages = "61--66",
month = nov,
year = "1975",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 18:16:40 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Mandelbrot:1975:LTSa,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Limit theorems on the self-normalized range for weakly
and strongly dependent processes",
journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB,
volume = "31",
number = "4",
pages = "271--285",
month = "????",
year = "1975",
CODEN = "ZWVGAA",
DOI = "https://doi.org/10.1007/BF00532867",
ISSN = "0044-3719",
ISSN-L = "0044-3719",
MRclass = "60F05",
MRnumber = "0423481 (54 \#11459a)",
MRreviewer = "G. K. Eagleson",
bibdate = "Sat Apr 26 19:25:14 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib",
URL = "http://link.springer.com/article/10.1007/BF00532867",
ZMnumber = "Zbl 0288.60033",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und
verwandte Gebiete",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Mandelbrot:1975:LTSb,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Limit Theorem on the Self-Normalized Range for Weakly
and Strongly Dependent Process",
journal = j-Z-WAHRSCHEINLICHKEITSTHEOR-VERW-GEB,
volume = "33",
number = "3",
pages = "220--220",
month = "????",
year = "1975",
CODEN = "ZWVGAA",
DOI = "https://doi.org/10.1007/BF00534968",
ISSN = "0044-3719",
ISSN-L = "0044-3719",
bibdate = "Sat Apr 26 19:25:23 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/z-wahrscheinlichkeits-theor-verw-geb.bib",
URL = "http://link.springer.com/accesspage/article/10.1007/BF00534968",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Wahrscheinlichkeitstheorie und
verwandte Gebiete",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Mandelbrot:1975:MDU,
author = "Beno{\^\i}t Mandelbrot",
title = "Sur un mod{\`e}le d{\'e}composable d'univers
hi{\'e}rarchis{\'e}: d{\'e}duction des corr{\'e}lations
galactiques sur la sph{\`e}re c{\'e}leste. ({French})
[{A} decomposable model of a hierarchical universe:
deduction of galactic correlations on the celestial
sphere]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "280",
number = "22",
pages = "Aiii, A1551--A1554",
month = "????",
year = "1975",
CODEN = "CHASAP",
ISSN = "0151-0509",
MRclass = "85.62",
MRnumber = "0373553 (51 \#9753)",
MRreviewer = "D. ter Haar",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}ries A et B",
language = "French",
}
@Article{Mandelbrot:1975:SME,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Stochastic models for the {Earth}'s relief, the shape
and the fractal dimension of the coastlines, and the
number-area rule for islands",
journal = j-PROC-NATL-ACAD-SCI-USA,
volume = "72",
number = "10",
pages = "3825--3828",
month = oct,
year = "1975",
CODEN = "PNASA6",
DOI = "https://doi.org/10.1073/pnas.72.10.3825",
ISSN = "0027-8424 (print), 1091-6490 (electronic)",
ISSN-L = "0027-8424",
MRclass = "86.62",
MRnumber = "0408752 (53 \#12515)",
MRreviewer = "Fran{\c{c}}ois Ronday",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/65184",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the National Academy of Sciences of the
United States of America",
journal-URL = "http://www.pnas.org/search",
}
@Article{Mandelbrot:1976:GFT,
author = "Beno{\^\i}t Mandelbrot",
title = "{G{\'e}om{\'e}trie} fractale de la turbulence.
{Dimension} de {Hausdorff}, dispersion et nature des
singularit{\'e}s du mouvement des fluides. ({French})
[{Fractal} geometry of turbulence. {Hausdorff}
dimension, dispersion, and nature of the singularities
in fluid motion]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "282",
number = "2",
pages = "Aii, A119--A120",
month = "????",
year = "1976",
CODEN = "CHASAP",
ISSN = "0151-0509",
MRclass = "76.28",
MRnumber = "0391688 (52 \#12508)",
MRreviewer = "S. J. Taylor",
bibdate = "Sat Sep 8 12:12:43 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0372.76044",
acknowledgement = ack-nhfb,
classmath = "76F05 (Isotropic turbulence; homogeneous turbulence)
60G99 (Stochastic processes) 28A75 (Length, area,
volume, other geometric measure theory)",
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}ries A et B",
language = "French",
}
@InProceedings{Mandelbrot:1976:ITF,
author = "Beno{\^\i}t Mandelbrot",
booktitle = "{Turbulence and Navier--Stokes equations (Proceedings
of a Conference, Universit{\'e} Paris-Sud, Orsay,
1975)}",
title = "Intermittent turbulence and fractal dimension:
kurtosis and the spectral exponent {$ 5 / 3 + B $}",
volume = "34(5--6)",
publisher = pub-SV,
address = pub-SV:adr,
pages = "121--145",
month = "????",
year = "1976",
CODEN = "????",
ISSN = "????",
MRclass = "76.60 (58F10)",
MRnumber = "0495674 (58 \#14335)",
MRreviewer = "William C. Meecham",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNM,
URL = "http://www.springerlink.com/content/x8051gr03w584n68/",
ZMnumber = "Zbl 0372.76043",
acknowledgement = ack-nhfb,
xxvolume = "565",
}
@Article{Mandelbrot:1976:NDS,
author = "Beno{\^\i}t Mandelbrot",
title = "Note on the definition and the stationarity of
fractional {Gaussian} noise",
journal = j-J-HYDROL,
volume = "30",
number = "4",
pages = "407--409",
month = aug,
year = "1976",
CODEN = "JHYDA7",
DOI = "https://doi.org/10.1016/0022-1694(76)90122-0",
ISSN = "????",
ISSN-L = "0022-1694",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0022169476901220",
acknowledgement = ack-nhfb,
fjournal = "Journal of Hydrology",
journal-URL = "http://www.sciencedirect.com/science/journal/00221694",
}
@Article{Cairns:1977:E,
author = "Stewart S. Cairns and Beno{\^\i}t B. Mandelbrot and I.
Barsotti and Andrew Lenard",
title = "Editorial",
journal = j-MATH-INTEL,
volume = "1",
number = "3",
pages = "125--126",
month = sep,
year = "1977",
CODEN = "MAINDC",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/n1205964h8854601/",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Book{Mandelbrot:1977:FFC,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractals: form, chance, and dimension",
publisher = pub-W-H-FREEMAN,
address = pub-W-H-FREEMAN:adr,
edition = "Revised",
pages = "xvi + 365",
year = "1977",
ISBN = "0-7167-0473-0, 0-7167-0474-9 (paperback)",
ISBN-13 = "978-0-7167-0473-7, 978-0-7167-0474-4 (paperback)",
LCCN = "QA447 .M3613 1977a",
MRclass = "69.00 (92A05)",
MRnumber = "0471493 (57 \#11224)",
MRreviewer = "Leon Glass",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1970.bib",
note = "Translated from the French",
ZMnumber = "Zbl 0376.28020",
acknowledgement = ack-nhfb,
tableofcontents = "I. Introduction \\
II. How long is the coast of Britain? \\
III. Uses of nonconstrained chance \\
IV. Fractal events and noises \\
V. Fractal clusters of stellar matter \\
VI. Turbulence, intermittency and curdling \\
VII. Meteorites, moon craters and soap \\
VIII. Uses of self constrained chance \\
IX. Fractional Brownian facets of rivers, relief and
turbulence \\
X. Miscellany \\
XI. Biographical and historical sketches \\
XII. Mathematical lexicon and addenda",
}
@InCollection{Mandelbrot:1977:FTA,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "{Turbulence Seminar (University of California,
Berkeley, California, 1976/1977)}",
title = "Fractals and turbulence: attractors and dispersion",
volume = "615",
publisher = pub-SV,
address = pub-SV:adr,
pages = "83--93",
year = "1977",
MRclass = "76.60 (58F10)",
MRnumber = "0495675 (58 \#14336)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNM,
ZMnumber = "Zbl 0359.76050",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1977:LVF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Lecture {V} Fractals and turbulence: Attractors and
dispersion",
journal = "Turbulence Seminar",
volume = "131",
number = "1--2",
pages = "83--93",
month = "????",
year = "1977",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/w7lk031338u81534/",
acknowledgement = ack-nhfb,
xxvolume = "615",
}
@Article{Mandelbrot:1977:POF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Physical objects with fractional dimension: seacoasts,
galaxy clusters, turbulence and soap",
journal = j-BULL-INST-MATH-APPL,
volume = "13",
number = "7-8",
pages = "189--196",
month = "????",
year = "1977",
CODEN = "IMTABW",
ISSN = "0950-5628",
MRclass = "69.00",
MRnumber = "0664463 (58 \#32157)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the Institute of Mathematics and its
Applications",
}
@Article{Mandelbrot:1978:CAA,
author = "Beno{\^\i}t Mandelbrot",
title = "Colliers al{\'e}atoires et une alternative aux
promenades au hasard sans boucle: les cordonnets
discrets et fractals. ({French}) [{Necklaces} and an
alternative to loop-free random walks: discrete fractal
cords]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "286",
number = "20",
pages = "A933--A936",
month = "????",
year = "1978",
CODEN = "CHASAP",
ISSN = "0151-0509",
MRclass = "60K99 (52A22 60D05 60J15)",
MRnumber = "498875 (80c:60118)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0386.60049",
acknowledgement = ack-nhfb,
classmath = "60G50 (Sums of independent random variables; random
walks) 60B99 (Probability theory on general
structures)",
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}ries A et B",
language = "French",
}
@InCollection{Mandelbrot:1978:FGT,
author = "Beno{\^\i}t Mandelbrot",
title = "The fractal geometry of trees and other natural
phenomena",
crossref = "Miles:1978:GPB",
pages = "235--249",
year = "1978",
bibdate = "Mon Sep 10 18:22:27 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1978:GFS,
author = "B. B. Mandelbrot",
editor = "D. Cabib and others",
booktitle = "Statistical physics---``{STATPHYS} 13'' ({Proc}.
{Thirteenth IUPAP Conf}. {Statist}. {Phys}.,
{Technion---Israel Inst}. {Tech}., {Haifa}, 1977),
{Part} 1",
title = "Geometric facets of statistical physics: scaling and
fractals",
volume = "2",
publisher = pub-ADAM-HILGER,
address = pub-ADAM-HILGER:adr,
pages = "225--233",
year = "1978",
MRclass = "82-02",
MRnumber = "513011 (80a:82001)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Ann. Israel Phys. Soc.",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1978:OFF,
author = "Beno{\^\i}t Mandelbrot",
title = "Les objets fractals. ({French}) [{Fractal} objects]",
journal = j-RECHERCHE,
volume = "9",
number = "??",
pages = "1--13",
month = "????",
year = "1978",
CODEN = "RCCHBV",
ISSN = "0029-5671 (print), 1625-9955 (electronic)",
ISSN-L = "0029-5671",
bibdate = "Mon Sep 10 18:24:31 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "La Recherche",
journal-URL = "http://www.larecherche.fr/",
language = "French",
}
@Article{Mandelbrot:1979:CTN,
author = "Beno{\^\i}t Mandelbrot",
title = "Corr{\'e}lations et texture dans un nouveau mod{\`e}le
d'univers hi{\'e}rarchis{\'e}, bas{\'e} sur les
ensembles tr{\'e}mas. ({French}) [{Correlations} and
texture in a new model of a hierarchical universe,
based on [discrete?] sets]",
journal = j-C-R-ACAD-SCI-PARIS-SER-AB,
volume = "288",
number = "1",
pages = "A81--A83",
month = "????",
year = "1979",
CODEN = "CHASAP",
ISSN = "0151-0509",
MRclass = "85A99",
MRnumber = "522025 (80c:85005)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus Hebdomadaires des S{\'e}ances de
l'Acad{\'e}mie des Sciences. S{\'e}ries A et B",
language = "French",
}
@Article{Mandelbrot:1979:DPF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Discussion Paper: Fractals, Attractors, and the
Fractal Dimension",
journal = j-ANN-NY-ACAD-SCI,
volume = "316",
number = "1",
pages = "463--464",
month = feb,
year = "1979",
CODEN = "ANYAA9",
DOI = "https://doi.org/10.1111/j.1749-6632.1979.tb29489.x",
ISSN = "0077-8923 (print), 1749-6632 (electronic)",
ISSN-L = "0077-8923",
MRclass = "00A69 (76F99)",
MRnumber = "556850 (81f:00010)",
bibdate = "Sat Sep 8 19:03:53 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Bifurcation theory and applications in scientific
disciplines (Papers, Conference, New York, 1977).",
acknowledgement = ack-nhfb,
fjournal = "Annals of the New York Academy of Sciences",
journal-URL = "http://www.nyas.org/Publications/Archive.aspx",
onlinedate = "16 Dec 2006",
}
@Article{Mandelbrot:1979:FFC,
author = "B. B. Mandelbrot and Michael Aizenman",
title = "Fractals: Form, Chance, and Dimension",
journal = j-PHYS-TODAY,
volume = "32",
number = "5",
pages = "65--??",
month = may,
year = "1979",
CODEN = "PHTOAD",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/phtoad/v32/i5/p65/s1",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@Article{Mandelbrot:1979:RAL,
author = "Beno{\^\i}t B. Mandelbrot and Murad S. Taqqu",
title = "Robust {$ R / S $} analysis of long-run serial
correlation",
journal = "Bull. Inst. Internat. Statist.",
volume = "48",
number = "2",
pages = "69--99",
month = "????",
year = "1979",
CODEN = "BISQA3",
ISSN = "????",
MRclass = "62M99 (60K99)",
MRnumber = "731558 (84k:62139)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Proceedings of the 42nd session of the International
Statistical Institute, Vol. 2 (Manila, 1979).",
ZMnumber = "Zbl 0518.62036",
acknowledgement = ack-nhfb,
fjournal = "Bulletin de l'Institut International de Statistique",
}
@Article{Gefen:1980:CPF,
author = "Yuval Gefen and Beno{\^\i}t B. Mandelbrot and Amnon
Aharony",
title = "Critical phenomena on fractal lattices",
journal = j-PHYS-REV-LET,
volume = "45",
number = "11",
pages = "855--858",
month = "????",
year = "1980",
CODEN = "PRLTAO",
DOI = "https://doi.org/10.1103/PhysRevLett.45.855",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
MRclass = "82A25 (58C30)",
MRnumber = "583107 (81g:82020)",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRL/v45/e855",
acknowledgement = ack-nhfb,
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@Article{Mandelbrot:1980:FAI,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractal aspects of the iteration of $ z \to \lambda z
(1 - z) $ for complex $ \lambda $ and $z$",
journal = j-ANN-NY-ACAD-SCI,
volume = "357",
number = "1",
pages = "249--259",
month = dec,
year = "1980",
CODEN = "ANYAA9",
DOI = "https://doi.org/10.1111/j.1749-6632.1980.tb29690.x",
ISSN = "0077-8923 (print), 1749-6632 (electronic)",
ISSN-L = "0077-8923",
bibdate = "Sat Sep 8 12:12:43 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "International conference on nonlinear dynamics.",
ZMnumber = "Zbl 0478.58017",
acknowledgement = ack-nhfb,
classmath = "37D45 (Strange attractors, chaotic dynamics) 37G99
(Local and nonlocal bifurcation theory) 30C10
(Polynomials (one complex variable))",
fjournal = "Annals of the New York Academy of Sciences",
journal-URL = "http://www.nyas.org/Publications/Archive.aspx",
keywords = "bifurcation; fractals; iterated quadratic polynomials
in the complex plane",
onlinedate = "16 Dec 2006",
}
@Article{Aharony:1981:PCP,
author = "A. Aharony and Y. Gefen and B. Mandelbrot and S.
Kirkpatrick",
title = "Percolation, critical phenomena and fractals",
journal = "Disordered Systems and Localization",
volume = "11",
number = "3",
pages = "56--58",
month = "????",
year = "1981",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/yq56048um078t851/",
acknowledgement = ack-nhfb,
xxvolume = "149",
}
@Article{Gefen:1981:SFF,
author = "Yuval Gefen and Amnon Aharony and Beno{\^\i}t B.
Mandelbrot and Scott Kirkpatrick",
title = "Solvable fractal family, and its possible relation to
the backbone at percolation",
journal = j-PHYS-REV-LET,
volume = "47",
number = "25",
pages = "1771--1774",
month = "????",
year = "1981",
CODEN = "PRLTAO",
DOI = "https://doi.org/10.1103/PhysRevLett.47.1771",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
MRclass = "82A43 (82A05)",
MRnumber = "637547 (83e:82036)",
MRreviewer = "B. Derrida",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRL/v47/e1771",
acknowledgement = ack-nhfb,
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@InCollection{Mandelbrot:1981:FGM,
author = "Beno{\^\i}t Mandelbrot",
booktitle = "Encyclopedia Britannica 1981 Yearbook of Science and
the Future",
title = "Fractals and geometry with many scales of length",
publisher = "Encyclopedia Britannica",
address = "Chicago, IL, USA",
pages = "168--181",
year = "1981",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Mon Sep 10 18:26:28 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1981:SSS,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Scalebound or Scaling Shapes: a Useful Distinction in
the Visual Arts and in the Natural Sciences",
journal = j-LEONARDO,
volume = "14",
number = "1",
pages = "45--47",
month = "????",
year = "1981",
CODEN = "LEONDP",
ISSN = "0024-094X (print), 1530-9282 (electronic)",
ISSN-L = "0024-094X",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1574481",
acknowledgement = ack-nhfb,
fjournal = "Leonardo (Oxford, England)",
journal-URL = "http://www.jstor.org/journal/leonardo",
}
@Article{Mandelbrot:1982:CCR,
author = "B. B. Mandelbrot",
title = "Comment on Computer Rendering of Fractal Stochastic
Models",
journal = j-CACM,
volume = "25",
number = "8",
pages = "581--584",
month = aug,
year = "1982",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Tue Dec 26 16:40:01 1995",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/imager/imager.82.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cacm1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "I34 fractal stochastic models",
}
@Article{Mandelbrot:1982:DSD,
author = "Beno{\^\i}t Mandelbrot",
title = "On discs and sigma discs, that osculate the limit sets
of groups of inversions",
journal = j-MATH-INTEL,
volume = "4",
number = "??",
pages = "??--??",
month = "????",
year = "1982",
CODEN = "MAINDC",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Mon Sep 10 18:28:12 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Article{Mandelbrot:1982:EEF,
author = "B. B. Mandelbrot",
title = "On an eigenfunction expansion and on fractional
{Brownian} motions",
journal = "Lettere Al Nuovo Cimento (1971--1985)",
volume = "33",
number = "17",
pages = "549--550",
month = "????",
year = "1982",
CODEN = "LNUCAE",
ISSN = "0024-1318, 0375-930x, 1827-613x",
MRclass = "60J65 (58G32 82A70 93E05)",
MRnumber = "672910 (84d:60118)",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/d537931242363784/",
acknowledgement = ack-nhfb,
fjournal = "Lettere al Nuovo Cimento. Rivista Internazionale della
Societ{\`a} Italiana di Fisica. Serie 2",
xxjournal = "Lett. Nuovo Cimento (2)",
}
@Book{Mandelbrot:1982:FGN,
author = "Beno{\^\i}t B. Mandelbrot",
title = "The fractal geometry of nature",
publisher = pub-W-H-FREEMAN,
address = pub-W-H-FREEMAN:adr,
pages = "v + 460",
year = "1982",
ISBN = "0-7167-1186-9",
ISBN-13 = "978-0-7167-1186-5",
LCCN = "QA447 .M25 1982; QA447 .M357 1982",
MRclass = "00A69 (51-01 54F45 85A35 86A99)",
MRnumber = "665254 (84h:00021)",
MRreviewer = "S. Dubuc",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Schriftenreihe f{\"u}r den Referenten. [Series for the
Referee]",
ZMnumber = "Zbl 0504.28001",
acknowledgement = ack-nhfb,
remark = "Revised edition of \cite{Mandelbrot:1977:FFC}.",
}
@InCollection{Mandelbrot:1982:MCP,
author = "Beno{\^\i}t Mandelbrot",
booktitle = "????",
title = "Des monstres de {Cantor} et de {Peano} {\`a} la
g{\'e}om{\'e}trie fractale de la nature. ({French})
[{Cantor} and {Peano} monsters in the fractal geometry
of nature]",
volume = "29",
publisher = "Seuil",
address = "Paris, France",
pages = "226--251",
year = "1982",
MRclass = "00A69 (01A55)",
MRnumber = "674512 (84h:00022)",
MRreviewer = "S. Dubuc",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Collect. Points S{\'e}r. Sci.",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Gefen:1983:GIH,
author = "Yuval Gefen and Yigal Meir and Beno{\^\i}t B.
Mandelbrot and Amnon Aharony",
title = "Geometric implementation of hypercubic lattices with
noninteger dimensionality, by use of low lacunarity
fractal lattices",
journal = j-PHYS-REV-LET,
volume = "50",
number = "3",
pages = "145--148",
month = "????",
year = "1983",
CODEN = "PRLTAO",
DOI = "https://doi.org/10.1103/PhysRevLett.50.145",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
MRclass = "82A05 (05B35 52A43)",
MRnumber = "689323 (84f:82006)",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRL/v50/e145",
acknowledgement = ack-nhfb,
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@Article{Gefen:1983:PTF,
author = "Yuval Gefen and Amnon Aharony and Beno{\^\i}t B.
Mandelbrot",
title = "Phase transitions on fractals. {I}. {Quasilinear}
lattices",
journal = j-J-PHYS-A,
volume = "16",
number = "6",
pages = "1267--1278",
month = "????",
year = "1983",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A25 (82A68)",
MRnumber = "706699 (86g:82022a)",
MRreviewer = "B. Derrida",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/16/1267",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Given:1983:DFL,
author = "James A. Given and Beno{\^\i}t B. Mandelbrot",
title = "Diffusion on fractal lattices and the fractal
{Einstein} relation",
journal = j-J-PHYS-A,
volume = "16",
number = "15",
pages = "L565--L569",
month = "????",
year = "1983",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A67 (82-04 82A43 82A70)",
MRnumber = "725282 (84m:82106)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/16/L565",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@InCollection{Mandelbrot:1983:EFM,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Percolation structures and processes",
title = "An explicit fractal model of percolation clusters",
volume = "5",
publisher = pub-ADAM-HILGER,
address = pub-ADAM-HILGER:adr,
pages = "59--80",
year = "1983",
MRclass = "82A43 (60K35)",
MRnumber = "728232 (85k:82028)",
MRreviewer = "Louis H. Kauffman",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Ann. Israel Phys. Soc.",
acknowledgement = ack-nhfb,
}
@Book{Mandelbrot:1983:FGN,
author = "Beno{\^\i}t B. Mandelbrot",
title = "The Fractal Geometry of Nature",
publisher = pub-W-H-FREEMAN,
address = pub-W-H-FREEMAN:adr,
pages = "468 + 1",
year = "1983",
ISBN = "0-7167-1186-9",
ISBN-13 = "978-0-7167-1186-5",
LCCN = "QA447 .M271 1983",
bibdate = "Wed Dec 15 10:38:44 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
note = "Updated and augment edition of
\cite{Mandelbrot:1983:FGN}, but with same ISBN.",
abstract = "Clouds are not spheres, mountains are not cones, and
lightening does not travel in a straight line. The
complexity of nature's shapes differs in kind, not
merely degree, from that of the shapes of ordinary
geometry, the geometry of fractal shapes.",
acknowledgement = ack-nhfb,
shorttableofcontents = "I: Introduction \\
II: Three classic fractals, tamed \\
III: Galaxies and eddies \\
IV: Scaling fractals \\
V: Nonscaling fractals \\
VI: Self-mapping fractals \\
VII: Randomness \\
VIII: Stratified random fractals \\
IX: Fractional Brown fractals \\
X: Random tremas: texture \\
XI: Miscellany \\
XII: Of men and ideas",
subject = "Geometry; Mathematical models; Stochastic processes;
Fractals; G{\'e}om{\'e}trie; Mod{\`e}les
math{\'e}matiques; Processus stochastiques; Fractals;
Geometry; Mathematical models; Stochastic processes;
Fractals; Meetkunde; Natuur; Fraktal",
tableofcontents = "Introduction. \\
Theme \\
The irregular and fragmented in nature \\
Dimension, symmetry, divergence \\
Variations and disclaimers \\
Three classic fractals, tamed. \\
How long is the coast of Britain? \\
Snowflakes and other Koch curves \\
Harnessing the Peano Monster curves \\
Fractal events and Cantor dusts \\
Galaxies and eddies \\
Fractal view of galaxy clusters \\
Geometry of turbulence \\
Intermittency \\
Fractal singularities of differential equations \\
Scaling fractals \\
Length-area-volume relations \\
Islands, clusters and percolation \\
Diameter-number relations \\
Ramification and fractal lattices \\
Nonscaling fractals \\
Surfaces with positive volume, and flesh \\
Trees \\
Scaling residues \\
Nonuniform fractals \\
Trees and the diameter exponent \\
Self-mapping fractals \\
Self-inverse fractals, Apollonian nets, and soap \\
Cantor and fatou dusts \\
Self-squared dragons \\
Fractal attractors and fractal (``Chaotic'') evolutions
\\
Randomness \\
Chance as a tool in model making \\
Conditional stationarity and cosmographic principles
\\
Stratified random fractals \\
Random curds : contact clusters and fractal percolation
\\
Random chains and squigs \\
Brownian motion and brown fractals \\
Random midpoint displacement curves \\
Fractional brown fractals \\
River discharges \\
Scaling nets and noises \\
Relief and coastlines \\
The areas of Islands, lakes and cups \\
A book-within-the-book, in color \\
Isothermal surfaces of homogeneous turbulence \\
Random tremas \\
Texture \\
Interval tremas \\
Linear L{\'e}vy dusts \\
Subordination \\
Spatial L{\'e}vy dusts \\
Ordered galaxies \\
Disc and sphere tremas : moon craters and galaxies \\
Texture : gaps and lacunarity \\
Cirri and succolarity \\
General tremas, and the control of texture \\
Miscellany \\
Logic of fractals in statistical lattice physics \\
Price change and scaling in economics \\
Scaling and power laws without geometry \\
Mathematical backup and addenda \\
Of men and ideas \\
Biographical sketches \\
Historical sketches \\
The path to fractals",
}
@InProceedings{Mandelbrot:1983:QMCa,
author = "Beno{\^\i}t B. Mandelbrot",
title = "On the quadratic mapping $ z \to z^2 - \mu $ for
complex $ \mu $ and $z$: The fractal structure of its
{$ \cal M$} set, and scaling",
crossref = "Campbell:1983:OCP",
pages = "224--239",
year = "1983",
DOI = "https://doi.org/10.1016/0167-2789(83)90128-8",
bibdate = "Fri Mar 27 11:05:24 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1983:QMCb,
author = "Beno{\^\i}t B. Mandelbrot",
title = "On the quadratic mapping $ z \to z^2 - \mu $ for
complex $ \mu $ and $z$: The fractal structure of its
{$ \cal M$} set, and scaling",
journal = j-PHYSICA-D,
volume = "7",
number = "1--3",
pages = "224--239",
month = may,
year = "1983",
CODEN = "PDNPDT",
DOI = "https://doi.org/10.1016/0167-2789(83)90128-8",
ISSN = "0167-2789 (print), 1872-8022 (electronic)",
ISSN-L = "0167-2789",
MRclass = "58F14 (30D05 58F11)",
MRnumber = "719054 (85d:58065)",
MRreviewer = "I. N. Baker",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Order in chaos (Los Alamos, NM, 1982)",
URL = "http://www.sciencedirect.com/science/article/pii/0167278983901288",
ZMnumber = "Zbl 1194.30028",
acknowledgement = ack-nhfb,
fjournal = "Physica D. Nonlinear Phenomena",
journal-URL = "http://www.sciencedirect.com/science/journal/01672789",
}
@Article{Mandelbrot:1983:SIF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Self-inverse fractals osculated by sigma-discs and the
limit sets of inversion groups",
journal = j-MATH-INTEL,
volume = "5",
number = "2",
pages = "9--17",
month = jun,
year = "1983",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03023620",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "30F35 (11F06 30-04 58F11)",
MRnumber = "737680 (85k:30069)",
MRreviewer = "Louis H. Kauffman",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/b4782275k6415231/",
ZMnumber = "Zbl 0609.30045",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Article{Voldman:1983:FNS,
author = "Jean Voldman and Beno{\^\i}t Mandelbrot and Lee W.
Hoevel and Joshua Knight and Philip L. Rosenfeld",
title = "Fractal Nature of Software-Cache Interaction",
journal = j-IBM-JRD,
volume = "27",
number = "2",
pages = "164--170",
month = mar,
year = "1983",
CODEN = "IBMJAE",
DOI = "https://doi.org/10.1147/rd.272.0164",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib",
abstract = "This paper uses fractals to model the clustering of
cache misses. The clustering of cache misses can be
quantified by a single number analog to a fractional
dimension, and we are intrigued by the possibility that
this number can be used as a measure of software
complexity. The essential intuition is that cache
misses are a direct reflection of changes in locality
of reference, and that complex software requires more
frequent (and larger) changes in this locality than
simple software. The cluster dimension provides a
measure (and perhaps the basis for a model) of the
intrinsic differences between workloads. This paper
focus on cache miss activity as a discriminate between
interactive and batch environments.",
acknowledgement = ack-nhfb,
classcodes = "C4240 (Programming and algorithm theory)",
classification = "723",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
journalabr = "IBM J Res Dev",
keywords = "batch environments; clustering; computational
complexity; computer software; fractal nature;
interactive environments; modelling; software
complexity; software-cache interaction",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Gefen:1984:PDS,
author = "Yuval Gefen and B. B. Mandelbrot and A. Aharony and A.
Kapitulnik",
title = "Partial-dimensional sequences and percolation",
journal = j-J-STAT-PHYS,
volume = "36",
number = "5--6",
pages = "827--830",
month = sep,
year = "1984",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01012942",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
MRclass = "58F13 (82A43)",
MRnumber = "773981 (86a:58061)",
bibdate = "Sat Aug 30 11:51:25 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=36&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
URL = "http://link.springer.com/article/10.1007/BF01012942;
http://www.springerlink.com/content/j815gu7668r33v43/",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Gefen:1984:PTFb,
author = "Yuval Gefen and Amnon Aharony and Yonathan Shapir and
Beno{\^\i}t B. Mandelbrot",
title = "Phase transitions on fractals. {II}. {Sierpi{\'n}ski}
gaskets",
journal = j-J-PHYS-A,
volume = "17",
number = "2",
pages = "435--444",
month = "????",
year = "1984",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A25 (82A68)",
MRnumber = "734134 (86g:82022b)",
MRreviewer = "B. Derrida",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/17/435",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Gefen:1984:PTFc,
author = "Yeval Gefen and Amnon Aharony and Beno{\^\i}t B.
Mandelbrot",
title = "Phase transitions on fractals. {III}. {Infinitely}
ramified lattices",
journal = j-J-PHYS-A,
volume = "17",
number = "6",
pages = "1277--1289",
month = "????",
year = "1984",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A25 (82A67)",
MRnumber = "755653 (86g:82022c)",
MRreviewer = "B. Derrida",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/17/1277",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Given:1984:CTP,
author = "James A. Given and Beno{\^\i}t B. Mandelbrot",
title = "Comment on transport processes on fractal structures",
journal = j-J-PHYS-A,
volume = "17",
number = "9",
pages = "1937--1939",
month = "????",
year = "1984",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A67 (82A70)",
MRnumber = "750608 (85m:82112)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/17/1937",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Given:1984:NMP,
author = "James A. Given and Beno{\^\i}t B. Mandelbrot",
title = "A new model of percolation clusters",
journal = j-J-STAT-PHYS,
volume = "36",
number = "5--6",
pages = "545--545",
month = sep,
year = "1984",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01012920",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Sat Aug 30 11:51:22 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=36&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
URL = "http://link.springer.com/accesspage/article/10.1007/BF01012920;
http://link.springer.com/article/10.1007/BF01012920;
http://www.springerlink.com/content/l745uv6w7n3m8835/",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Mandelbrot:1984:APF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Additional Perspectives on Fractals",
journal = j-COLLEGE-MATH-J,
volume = "15",
number = "2",
pages = "115--119",
month = mar,
year = "1984",
CODEN = "????",
DOI = "https://doi.org/10.1080/00494925.1984.11972759",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:49:53 MST 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00494925.1984.11972759",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@InCollection{Mandelbrot:1984:CCS,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Turbulence and chaotic phenomena in fluids ({Kyoto},
1983)",
title = "Comment on coherent structures in fluids, fractals,
and the fractal structure of flow singularities",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "207--208",
year = "1984",
MRclass = "76F99 (58C27 58F13)",
MRnumber = "788705 (86e:76039)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1984:CEB,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Comment on the equivalence between fracton\slash
spectral dimensionality, and the dimensionality of
recurrence",
journal = j-J-STAT-PHYS,
volume = "36",
number = "5--6",
pages = "541--543",
month = sep,
year = "1984",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01012919",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
MRclass = "82A05 (58F13 82A67)",
MRnumber = "773967 (86a:82003)",
bibdate = "Sat Aug 30 11:51:22 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=36&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
URL = "http://link.springer.com/article/10.1007/BF01012919;
http://www.springerlink.com/content/k046263428n04707/",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@InCollection{Mandelbrot:1984:DIM,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos and statistical methods ({Kyoto}, 1983)",
title = "On the dynamics of iterated maps. {VIII}. {The} map $
z \to \lambda (z + 1 / z) $, from linear to planar
chaos, and the measurement of chaos",
volume = "24",
publisher = pub-SV,
address = pub-SV:adr,
pages = "32--41",
year = "1984",
DOI = "https://doi.org/10.1007/978-3-642-69559-9_4",
MRclass = "58F08 (30D05)",
MRnumber = "771492 (86m:58078)",
MRreviewer = "I. N. Baker",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Springer Ser. Synergetics",
ZMnumber = "Zbl 0571.28004",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1984:EFS,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Turbulence and chaotic phenomena in fluids ({Kyoto},
1983)",
title = "Each fractal set has a unique fractal dimension",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "203--206",
year = "1984",
MRclass = "58C35 (58F13 76F99)",
MRnumber = "788704 (86j:58016)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1984:FCF,
author = "Beno{\^\i}t B. Mandelbrot and Dann. E. Passoja and
Alvin J. Paullay",
title = "Fractal character of fracture surfaces of metals",
journal = j-NATURE,
volume = "308",
number = "5961",
pages = "721--722",
day = "19",
month = apr,
year = "1984",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/308721a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v308/n5961/pdf/308721a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@InProceedings{Mandelbrot:1984:FGF,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Proceedings of the {International Congress} of
{Mathematicians}, {Vol}. 1, 2 ({Warsaw}, 1983)",
title = "On fractal geometry, and a few of the mathematical
questions it has raised",
publisher = "PWN",
address = "Warsaw, Poland",
pages = "1661--1675",
year = "1984",
MRclass = "00A69 (01A60 28C15)",
MRnumber = "804805 (87a:00040)",
MRreviewer = "Louis H. Kauffman",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1984:FPS,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractals in physics: Squig clusters, diffusions,
fractal measures, and the unicity of fractal
dimensionality",
journal = j-J-STAT-PHYS,
volume = "34",
number = "5--6",
pages = "895--930",
month = mar,
year = "1984",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01009448",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
MRclass = "82A43 (58F11 58F40 82A57)",
MRnumber = "751720 (86b:82020)",
MRreviewer = "Yuval Gefen",
bibdate = "Sat Aug 30 10:02:21 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=34&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1980.bib",
URL = "http://link.springer.com/article/10.1007/BF01009448;
http://www.springerlink.com/content/xq15g34856h83h81/",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Book{Mandelbrot:1984:OFF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Les objets fractals: Forme, hasard et dimension.
({French}) [Fractal objects: form, chance, and
dimension]",
publisher = "Flammarion",
address = "Paris, France",
edition = "Second",
pages = "203",
year = "1984",
LCCN = "QA447 .M36 1984",
bibdate = "Sat Sep 8 15:45:01 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
library.mit.edu:9909/mit01",
series = "Nouvelle biblioth{\`e}que scientifique",
acknowledgement = ack-nhfb,
language = "French",
subject = "Geometry; Mathematical models; Stochastic processes;
Fractals",
}
@Article{Mandelbrot:1984:PPN,
author = "Beno{\^\i}t B. Mandelbrot and James A. Given",
title = "Physical properties of a new fractal model of
percolation clusters",
journal = j-PHYS-REV-LET,
volume = "52",
pages = "1853--??",
year = "1984",
CODEN = "PRLTAO",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRL/v52/e1853",
acknowledgement = ack-nhfb,
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@Article{Mandelbrot:1984:SSS,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Squig sheets and some other squig fractal
constructions",
journal = j-J-STAT-PHYS,
volume = "36",
number = "5--6",
pages = "519--539",
month = "????",
year = "1984",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01012918",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
MRclass = "60D05 (58F11 58F13 82A42)",
MRnumber = "773966 (86f:60019)",
MRreviewer = "S. Dubuc",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/k20w5q31555x03nj/",
ZMnumber = "Zbl 0599.60017",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Lovejoy:1985:FPR,
author = "S. Lovejoy and B. B. Mandelbrot",
title = "Fractal Properties of Rain, and a Fractal Model",
journal = "Tellus",
volume = "37A",
number = "??",
pages = "209--232",
month = "????",
year = "1985",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 16:45:45 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1985:DIMa,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}.,
1981/1983)",
title = "On the dynamics of iterated maps. {III}. {The}
individual molecules of the {$M$}-set, self-similarity
properties, the empirical $ n^2 $ rule, and the $ n^2 $
conjecture",
volume = "98",
publisher = "Dekker",
address = "New York, NY, USA",
pages = "213--224",
year = "1985",
MRclass = "58F08 (30D05 58F14)",
MRnumber = "813521 (87e:58109)",
MRreviewer = "I. N. Baker",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNPAM,
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1985:DIMb,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}.,
1981/1983)",
title = "On the dynamics of iterated maps. {IV}. {The} notion
of ``normalized radical'' {$R$} of the {$M$}-set, and
the fractal dimension of the boundary of {$R$}",
volume = "98",
publisher = "Dekker",
address = "New York, NY, USA",
pages = "225--234",
year = "1985",
MRclass = "58F08 (30D05 58F14)",
MRnumber = "813522 (87e:58110)",
MRreviewer = "I. N. Baker",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNPAM,
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1985:DIMc,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}.,
1981/1983)",
title = "On the dynamics of iterated maps. {V}. {Conjecture}
that the boundary of the {$M$}-set has a fractal
dimension equal to $2$",
volume = "98",
publisher = "Dekker",
address = "New York, NY, USA",
pages = "235--238",
year = "1985",
MRclass = "58F08 (30D05 58F11)",
MRnumber = "813523 (87e:58111)",
MRreviewer = "I. N. Baker",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNPAM,
ZMnumber = "Zbl 0571.58018",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1985:DIMd,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}.,
1981/1983)",
title = "On the dynamics of iterated maps. {VI}. {Conjecture}
that certain {Julia} sets include smooth components",
volume = "98",
publisher = "Dekker",
address = "New York, NY, USA",
pages = "239--242",
year = "1985",
MRclass = "58F08 (30D05 58F11 58F12)",
MRnumber = "813524 (87e:58112)",
MRreviewer = "I. N. Baker",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNPAM,
ZMnumber = "Zbl 0571.58019",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1985:DIMe,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos, fractals, and dynamics ({Guelph}, {Ont}.,
1981/1983)",
title = "On the dynamics of iterated maps. {VII}.
{Domain-filling} (``{Peano}'') sequences of fractal
{Julia} sets, and an intuitive rationale for the
{Siegel} discs",
volume = "98",
publisher = "Dekker",
address = "New York, NY, USA",
pages = "243--253",
year = "1985",
MRclass = "58F08 (30D05 58F11)",
MRnumber = "813525 (87e:58113)",
MRreviewer = "I. N. Baker",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNPAM,
ZMnumber = "Zbl 0571.58020",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1985:DIMf,
author = "Beno{\^\i}t B. Mandelbrot",
title = "On the dynamics of iterated maps. {IX}. {Continuous}
interpolation of the complex discrete map $ z \to
\lambda z (1 - z) $, and related topics",
journal = j-PHYSICA-SCRIPTA,
volume = "T9",
number = "??",
pages = "59--63",
month = "????",
year = "1985",
CODEN = "PHSTBO",
DOI = "https://doi.org/10.1088/0031-8949/1985/T9/008",
ISSN = "0031-8949 (print), 1402-4896 (electronic)",
ISSN-L = "0031-8949",
MRclass = "58F08 (30D05)",
MRnumber = "863584 (88a:58105)",
MRreviewer = "I. N. Baker",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Physics of chaos and related problems: Proceedings of
the 59th Nobel Symposium 11--16 June 1984,
Gr{\"a}ft{\aa}vallen, Sweden.",
acknowledgement = ack-nhfb,
fjournal = "Physica Scripta",
journal-URL = "http://iopscience.iop.org/1402-4896/",
}
@Article{Mandelbrot:1985:FTT,
author = "Beno{\^\i}t B. Mandelbrot and Yuval Gefen and Amnon
Aharony and Jacques Peyri{\`e}re",
title = "Fractals, their transfer matrices and their
eigendimensional sequences",
journal = j-J-PHYS-A,
volume = "18",
number = "2",
pages = "335--354",
month = "????",
year = "1985",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A05",
MRnumber = "784920 (86g:82006)",
MRreviewer = "A. Maritan",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/18/335",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Mandelbrot:1985:SAF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Self-affine fractals and fractal dimension",
journal = j-PHYSICA-SCRIPTA,
volume = "32",
number = "4",
pages = "257--260",
month = "????",
year = "1985",
CODEN = "PHSTBO",
DOI = "https://doi.org/10.1088/0031-8949/32/4/001",
ISSN = "0031-8949 (print), 1402-4896 (electronic)",
ISSN-L = "0031-8949",
MRclass = "58F12 (54F45 60G20)",
MRnumber = "819684 (87g:58081)",
MRreviewer = "S. Dubuc",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Physica Scripta",
journal-URL = "http://iopscience.iop.org/1402-4896/",
}
@Book{Mandelbrot:1985:SIC,
author = "Beno{\^\i}t B. Mandelbrot and others",
title = "{Sch{\"o}nheit im Chaos: Bilder aus der theorie
komplexer Systeme} = Frontiers of Chaos: computer
graphics face complex dynamics",
publisher = "MAP ART, Forschungsgruppe Komplexe Dynamik,
Universit{\"a}t Bremen",
address = "Bremen, West Germany",
pages = "108",
year = "1985",
ISBN = "3-920699-65-3",
ISBN-13 = "978-3-920699-65-3",
LCCN = "QA614.86 .S342 1985",
bibdate = "Mon Sep 10 15:14:05 MDT 2012",
bibsource = "clas.caltech.edu:210/INNOPAC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
remark = "Text in German and English. The exhibition ``Frontiers
of Chaos'' will be presented worldwide under the
auspices of the Goethe Institut.",
subject = "Fractals",
}
@InCollection{Mandelbrot:1986:FMT,
author = "B. B. Mandelbrot",
booktitle = "Dimensions and entropies in chaotic systems ({Pecos
River Ranch, NM}, 1985)",
title = "Fractal measures (their infinite moment sequences and
dimensions) and multiplicative chaos: early works and
open problems",
volume = "32",
publisher = pub-SV,
address = pub-SV:adr,
pages = "19--27",
year = "1986",
DOI = "https://doi.org/10.1007/978-3-642-71001-8_3",
MRclass = "58F13 (76F99)",
MRnumber = "836770",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Springer Ser. Synergetics",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1986:MF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Multifractals and Fractals",
journal = j-PHYS-TODAY,
volume = "39",
number = "9",
pages = "11--??",
month = sep,
year = "1986",
CODEN = "PHTOAD",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/phtoad/v39/i9/p11/s1",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@InCollection{Mandelbrot:1986:SAFa,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Fractals in physics ({Trieste}, 1985)",
title = "Self-affine fractal sets. {I}. {The} basic fractal
dimensions",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "3--15",
year = "1986",
MRclass = "51M99 (28A75 54F45 58F99)",
MRnumber = "863017 (88e:51037a)",
MRreviewer = "Louis H. Kauffman",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1986:SAFb,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Fractals in physics ({Trieste}, 1985)",
title = "Self-affine fractal sets. {II}. {Length} and surface
dimensions",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "17--20",
year = "1986",
MRclass = "51M99 (28A75 54F45 58F99)",
MRnumber = "863018 (88e:51037b)",
MRreviewer = "Louis H. Kauffman",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1986:SAFc,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Fractals in physics ({Trieste}, 1985)",
title = "Self-affine fractal sets. {III}. {Hausdorff} dimension
anomalies and their implications",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "21--28",
year = "1986",
MRclass = "51M99 (28A75 54F45 58F99)",
MRnumber = "863019 (88e:51037c)",
MRreviewer = "Louis H. Kauffman",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Arnheim:1988:SFR,
author = "Rudolf Arnheim and Thomas E. Lovejoy and David Gordon
Wilson and Freeman Dyson and Jane Goodall and Ian
Shelton and Kenneth H. Olsen and Irene C. Peden and
Richard W. Hamming and Thomas Eisner and Preston Cloud
and Matt Cartmill and Samuel C. Florman and Jeremy
Bernstein and George A. Miller and Robert M. May and G.
Evelyn Hutchinson and Jerome Bruner and Priscilla C.
Grew and William Bevan and Elisabeth S. Vrba and
Myrdene Anderson and Kevin Padian and Harry Shipman and
Victor F. Weisskopf and Walter A. Hill and Patricia D.
Moehlman and Melvin Kranzberg and Malak Kotb and
Raymond Kurzweil and Marcia McNutt and Masakazu Konishi
and Miriam Rothschild and Edward Teller and Alison
Jolly and H. Jane Brockmann and Keith Stewart Thomson
and Peter J. Denning and Beno{\^\i}t B. Mandelbrot and
Abraham Pais and Paul MacCready and Kip S. Thorne and
Ruth Sager and Gerald J. Wasserburg and Neal E. Miller
and Rita Levi-Montalcini and Stephen Jay Gould and
Edwin H. Land and Michel Boudart and Anne Kernan and
Douglas R. Hofstadter and Rosalyn S. Yalow and Bruce H.
Tiffney and Mimi Koehl and Walter E. Massey and David
P. Billington and John A. W. Kirsch and Abner Shimony
and J. Donald Fernie and Brian J. Skinner and Lynn
Margulis and Sheldon Lee Glashow and Michael LaBarbera
and J. Tuzo Wilson and E. R. Ward Neale and Rudolf
Peierls and Roald Hoffmann and Mary L. Good and Donald
R. Griffin and Vaclav Smil and Michael S. Turner and
Sarah Ann Woodin and Luis Alvarez and George A.
Bartholomew and George B. Schaller",
title = "Seventy-five reasons to become a scientist: {American
Scientist} celebrates its seventy-fifth anniversary",
journal = j-AM-SCI,
volume = "76",
number = "5",
pages = "450--463",
month = sep,
year = "1988",
CODEN = "AMSCAC",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/p/peierls-rudolf.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/27855384;
http://www.jstor.org/stable/pdfplus/27855384.pdf",
acknowledgement = ack-nhfb,
author-dates = "Edward Teller (1908--2003); Sir Rudolf Ernst Peierls
(5 June 1907--19 September 1995)",
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
}
@Book{Barnsley:1988:SFI,
author = "Michael F. Barnsley and Robert L. Devaney and
Beno{\^\i}t B. Mandelbrot and Heinz-Otto Peitgen and
Dietmar Saupe and Richard F. Voss",
title = "The science of fractal images",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 312",
year = "1988",
DOI = "https://doi.org/10.1007/978-1-4612-3784-6",
ISBN = "0-387-96608-0",
ISBN-13 = "978-0-387-96608-3",
LCCN = "????",
MRclass = "68U05 (00A99 30D05 39B12 58F08 58F12 82C99 92F05)",
MRnumber = "952853 (92a:68145)",
MRreviewer = "P. D. F. Ion",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "With contributions by Yuval Fisher and Michael
McGuire. Based on notes for the course Fractals ---
introduction, basics and perspectives, given as part of
the SIGGRAPH '87, Anaheim, California course program.",
ZMnumber = "Zbl 0683.58003",
acknowledgement = ack-nhfb,
}
@Article{Gutzwiller:1988:IMM,
author = "Martin C. Gutzwiller and Beno{\^\i}t B. Mandelbrot",
title = "Invariant multifractal measures in chaotic
{Hamiltonian} systems, and related structures",
journal = j-PHYS-REV-LET,
volume = "60",
number = "8",
pages = "673--676",
month = "????",
year = "1988",
CODEN = "PRLTAO",
DOI = "https://doi.org/10.1103/PhysRevLett.60.673",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
MRclass = "58F13 (11K55 81C99 82A99)",
MRnumber = "927883 (89b:58134)",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRL/v60/e673",
acknowledgement = ack-nhfb,
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@Article{Hadamard:1988:HDD,
author = "Jacques Hadamard",
title = "How {I} did not discover {Relativity}",
journal = j-MATH-INTEL,
volume = "10",
number = "2",
pages = "65--67",
month = jun,
year = "1988",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03028360",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Translated by I. H. Rose. Edited by Beno{\^\i}t B.
Mandelbrot.",
URL = "http://www.springerlink.com/content/l2q468845183710u/",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@InCollection{Mandelbrot:1988:FLC,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractal landscapes without creases and with rivers",
crossref = "Peitgen:1988:SFI",
pages = "??--??",
year = "1988",
bibdate = "Fri Jun 07 07:37:58 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1988:FPE,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Foreword: people and events behind the ``science of
fractal images''",
crossref = "Peitgen:1988:SFI",
pages = "??--??",
year = "1988",
bibdate = "Fri Jun 07 07:37:58 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1988:IMD,
author = "B. B. Mandelbrot",
booktitle = "Random fluctuations and pattern growth ({Carg{\`e}se},
1988)",
title = "An introduction to multifractal distribution
functions",
volume = "157",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "279--291",
year = "1988",
MRclass = "28A75 (58F13 82A99)",
MRnumber = "988448",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "NATO Adv. Sci. Inst. Ser. E Appl. Sci.",
acknowledgement = ack-nhfb,
}
@Article{Hirsch:1989:OCR,
author = "Morris W. Hirsch",
title = "Opinion: Chaos, Rigor, and Hype: {James Gleick,
Beno{\^\i}t B. Mandelbrot, and John Franks}",
journal = j-MATH-INTEL,
volume = "11",
number = "3",
pages = "6--13",
month = sep,
year = "1989",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03025183",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/v02l6108766n06h1/",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Article{Kittel:1989:LGM,
author = "Charles Kittel and Beno{\^\i}t B. Mandelbrot",
title = "Letters: {Gibbs} and {Mandelbrot} at {Yale}",
journal = j-PHYS-TODAY,
volume = "42",
number = "3",
pages = "154, 156",
month = mar,
year = "1989",
CODEN = "PHTOAD",
DOI = "https://doi.org/10.1063/1.2810954",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/phtoad/v42/i3/p154/s2",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@Article{Krantz:1989:FG,
author = "Steven G. Krantz and Beno{\^\i}t B. Mandelbrot",
title = "Fractal geometry",
journal = j-MATH-INTEL,
volume = "11",
number = "4",
pages = "12--16",
month = dec,
year = "1989",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03025877",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/n751525375q64411/",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
remark = "The article begins with an editor's note about how
Krantz' book review and Mandelbrot's rebuttal could not
be resolved acceptably to either for publication in the
\booktitle{Bulletin of the AMS} or the
\booktitle{Notices of the AMS}, and were finally moved
to this journal.",
}
@InCollection{Mandelbrot:1989:CMM,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Fractals' physical origin and properties ({Erice},
1988)",
title = "A class of multinomial multifractal measures with
negative (latent) values for the ``dimension'' $
f(\alpha) $",
volume = "45",
publisher = pub-PLENUM,
address = pub-PLENUM:adr,
pages = "3--29",
year = "1989",
MRclass = "28A80 (00A69)",
MRnumber = "1141390",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Ettore Majorana Internat. Sci. Ser. Phys. Sci.",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1989:DRM,
author = "Beno{\^\i}t B. Mandelbrot and Tam{\'a}s Vicsek",
title = "Directed recursive models for fractal growth",
journal = j-J-PHYS-A,
volume = "22",
number = "9",
pages = "L377--L383",
month = "????",
year = "1989",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82A99 (28A75 82A57 92A90)",
MRnumber = "994360 (90b:82080)",
bibdate = "Sat Sep 8 12:12:43 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/22/L377",
ZMnumber = "Zbl 0703.58034",
acknowledgement = ack-nhfb,
classmath = "37C70 (Attractors and repellers, topological
structure)",
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
keywords = "Fractals; recursion",
reviewer = "I. U. Bronshtejn",
}
@Article{Mandelbrot:1989:FASa,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractals and an Art for the Sake of Science",
journal = j-LEONARDO,
volume = "2",
number = "Supplemental Issue",
pages = "21--24",
month = "????",
year = "1989",
CODEN = "LEONDP",
ISSN = "0024-094X (print), 1530-9282 (electronic)",
ISSN-L = "0024-094X",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1557938",
acknowledgement = ack-nhfb,
fjournal = "Leonardo (Oxford, England)",
journal-URL = "http://www.jstor.org/journal/leonardo",
}
@InProceedings{Mandelbrot:1989:FASb,
author = "B. B. Mandelbrot",
title = "Fractals and an art for the sake of science",
crossref = "Resch:1989:CAC",
pages = "21--24",
year = "1989",
bibdate = "Mon Oct 4 18:48:17 MDT 1999",
bibsource = "http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/73877/p21-mandelbrot/",
acknowledgement = ack-nhfb,
keywords = "design; human factors",
subject = "{\bf J.5} Computer Applications, ARTS AND HUMANITIES,
Arts, fine and performing**. {\bf I.3.5} Computing
Methodologies, COMPUTER GRAPHICS, Computational
Geometry and Object Modeling, Curve, surface, solid,
and object representations.",
}
@Article{Mandelbrot:1989:FGW,
author = "B. B. Mandelbrot and A. Blumen",
title = "Fractal Geometry: What is it, and What Does it do?
[and Discussion]",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "423",
number = "1864",
pages = "3--16",
day = "8",
month = may,
year = "1989",
CODEN = "PRLAAZ",
ISSN = "0080-4630",
MRclass = "58F13 (58F40 82B99)",
MRnumber = "1059262 (91d:58160)",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Fractals in the natural sciences",
URL = "http://www.jstor.org/stable/2398503",
ZMnumber = "Zbl 0746.00012",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of London. Series A,
Mathematical and physical sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/content/current",
}
@Article{Mandelbrot:1989:MME,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Multifractal measures, especially for the
geophysicist",
journal = j-PURE-APPL-GEOPHYS,
volume = "131",
number = "1--2",
pages = "5--42",
month = "????",
year = "1989",
CODEN = "PAGYAV",
DOI = "https://doi.org/10.1007/BF00874478",
ISSN = "0033-4553 (print), 1420-9136 (electronic)",
ISSN-L = "0033-4553",
MRclass = "28A80 (86A99)",
MRnumber = "1106479 (92k:28014)",
MRreviewer = "Christoph Bandt",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/x445xm5507251257/",
acknowledgement = ack-nhfb,
fjournal = "Pure and Applied Geophysics",
journal-URL = "http://link.springer.com/journal/24",
remark = "Fractals in geophysics",
}
@Book{Mandelbrot:1989:OFF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Les objets fractals: Forme, hasard et dimension.
({French}) [Fractal objects: form, chance, and
dimension]",
publisher = "Flammarion",
address = "Paris, France",
edition = "Third",
pages = "268",
year = "1989",
ISBN = "2-08-211188-1",
ISBN-13 = "978-2-08-211188-1",
LCCN = "QA614.86 .M28 1989",
bibdate = "Sat Sep 8 15:40:11 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
price = "99.00F",
series = "Nouvelle biblioth{\`e}que scientifique",
acknowledgement = ack-nhfb,
language = "French",
subject = "fractals; mathematical models; stochastic processes",
}
@Article{Mandelbrot:1989:SFE,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Some `Facts' That Evaporate Upon Examination",
journal = j-MATH-INTEL,
volume = "11",
number = "4",
pages = "17--19",
month = dec,
year = "1989",
CODEN = "MAINDC",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/08301p9317702218/",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Article{Mandelbrot:1989:TFW,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Temperature Fluctuation: {A} Well-Defined and
Unavoidable Notion",
journal = j-PHYS-TODAY,
volume = "42",
number = "1",
pages = "71--??",
month = jan,
year = "1989",
CODEN = "PHTOAD",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/phtoad/v42/i1/p71/s1",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@Article{Musgrave:1989:NEM,
author = "F. Kenton Musgrave and Beno{\^\i}t B. Mandelbrot",
title = "Natura ex Machina",
journal = j-IEEE-CGA,
volume = "9",
number = "1",
pages = "4--7",
month = jan,
year = "1989",
CODEN = "ICGADZ",
ISSN = "0272-1716 (print), 1558-1756 (electronic)",
ISSN-L = "0272-1716",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "Graphics/siggraph/89.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeecga.bib",
acknowledgement = ack-nhfb,
annote = "About the Cover",
fjournal = "IEEE Computer Graphics and Applications",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/cga",
}
@Article{Scholz:1989:I,
author = "C. H. Scholz and B. B. Mandelbrot",
title = "Introduction",
journal = j-PURE-APPL-GEOPHYS,
volume = "131",
number = "1--2",
pages = "1--4",
month = "????",
year = "1989",
CODEN = "PAGYAV",
ISSN = "????",
ISSN-L = "0033-4553",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/x26l140400101035/",
acknowledgement = ack-nhfb,
fjournal = "Pure and Applied Geophysics",
journal-URL = "http://link.springer.com/journal/24",
}
@Article{Mandelbrot:1990:ESS,
author = "Beno{\^\i}t B. Mandelbrot and Carl J. G. Evertsz and
Yoshinori Hayakawa",
title = "Exactly self-similar left-sided multifractal
measures",
journal = j-PHYS-REV-A,
volume = "42",
pages = "4528--??",
year = "1990",
CODEN = "PLRAAN",
ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
ISSN-L = "1050-2947",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRA/v42/e4528",
acknowledgement = ack-nhfb,
fjournal = "Physical Review A (Atomic, Molecular, and Optical
Physics)",
journal-URL = "http://pra.aps.org/browse",
}
@Article{Mandelbrot:1990:NAM,
author = "Beno{\^\i}t B. Mandelbrot",
title = "New `anomalous' multiplicative multifractals: Left
sided $ f(\alpha) $ and the modelling of {DLA}",
journal = j-PHYSICA-A,
volume = "168",
number = "1",
pages = "95--111",
day = "1",
month = sep,
year = "1990",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(90)90361-U",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
MRclass = "82B99 (28A80)",
MRnumber = "1077200 (91j:82031)",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037843719090361U",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical and Theoretical Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Article{Mandelbrot:1990:NFD,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Negative fractal dimensions and multifractals",
journal = j-PHYSICA-A,
volume = "163",
number = "1",
pages = "306--315",
day = "1",
month = feb,
year = "1990",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(90)90339-T",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
MRclass = "28A75 (58F13 82A25)",
MRnumber = "1043651 (90m:28008)",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Statistical physics (Rio de Janeiro, 1989)",
URL = "http://www.sciencedirect.com/science/article/pii/037843719090339T",
ZMnumber = "Zbl 0713.58034",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical and Theoretical Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Article{Mandelbrot:1990:PDA,
author = "Beno{\^\i}t B. Mandelbrot and Carl J. G. Evertsz",
title = "The potential distribution around growing fractal
clusters",
journal = j-NATURE,
volume = "348",
number = "6297",
pages = "143--145",
day = "8",
month = nov,
year = "1990",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/348143a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v348/n6297/pdf/348143a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@InCollection{Mandelbrot:1990:TMM,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos/{\cyr {Khaos}} ({Woods Hole}, {MA}, 1989)",
title = "Two meanings of multifractality, and the notion of
negative fractal dimension",
publisher = pub-AIP,
address = pub-AIP:adr,
pages = "79--90",
year = "1990",
MRclass = "28A80 (58F11)",
MRnumber = "1123515 (92f:28008)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Evertsz:1991:BHM,
author = "Carl J. G. Evertsz and Peter W. Jones and Beno{\^\i}t
B. Mandelbrot",
title = "Behaviour of the harmonic measure at the bottom of
fjords",
journal = j-J-PHYS-A,
volume = "24",
number = "8",
pages = "1889--1901",
month = "????",
year = "1991",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "28A80 (86A60)",
MRnumber = "1117606 (92e:28001)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/24/1889",
ZMnumber = "Zbl 0731.58046",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Mandelbrot:1991:FAC,
author = "Beno{\^\i}t Mandelbrot",
title = "Fractal aggregates, and the current lines of their
electrostatic potentials",
journal = j-PHYSICA-A,
volume = "177",
number = "1--3",
pages = "589--592",
day = "15",
month = sep,
year = "1991",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(91)90205-Q",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037843719190205Q",
acknowledgement = ack-nhfb,
fjournal = "Physica A",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Book{Mandelbrot:1991:FGN,
author = "Beno{\^\i}t B. Mandelbrot",
title = "{Die fraktale Geometrie der Natur}. ({German}) [{The}
Fractal Geometry of Nature]",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "491",
year = "1991",
ISBN = "3-7643-2646-8",
ISBN-13 = "978-3-7643-2646-3",
LCCN = "????",
MRclass = "00A69 (54F45 58F13)",
MRnumber = "1325015 (96a:00012)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Translated from the English by Reinhilt Z{\"a}hle and
Ulrich Z{\"a}hle, Edited and with a foreword by U.
Z{\"a}hle",
ZMnumber = "Zbl 0652.28002",
acknowledgement = ack-nhfb,
language = "German",
xxyear = "1987",
}
@InCollection{Mandelbrot:1991:HLC,
author = "Beno{\^\i}t B. Mandelbrot",
title = "How long is the coast of {Britain}?",
crossref = "Ferris:1991:WTP",
pages = "447--455",
year = "1991",
bibdate = "Mon Sep 29 12:21:12 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1991:MHM,
author = "Beno{\^\i}t B. Mandelbrot and Carl J. G. Evertsz",
title = "Multifractality of the harmonic measure on fractal
aggregates, and extended self-similarity",
journal = j-PHYSICA-A,
volume = "177",
number = "1--3",
pages = "386--393",
day = "15",
month = sep,
year = "1991",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(91)90177-E",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
MRclass = "58F40 (58F11)",
MRnumber = "1137042 (92m:58124)",
MRreviewer = "Helena E. Nusse",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Current problems in statistical mechanics (Washington,
DC, 1991)",
URL = "http://www.sciencedirect.com/science/article/pii/037843719190177E",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical and Theoretical Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Article{Mandelbrot:1991:RMN,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Random Multifractals: Negative Dimensions and the
Resulting Limitations of the Thermodynamic Formalism",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "434",
number = "1890",
pages = "79--88",
day = "8",
month = jul,
year = "1991",
CODEN = "PRLAAZ",
DOI = "https://doi.org/10.1098/rspa.1991.0081",
ISSN = "0962-8444",
MRclass = "58F13 (28A80 58F12)",
MRnumber = "1124928 (92g:58086)",
MRreviewer = "Colleen D. Cutler",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Turbulence and stochastic processes: Kolmogorov's
ideas 50 years on",
URL = "http://www.jstor.org/stable/51986",
ZMnumber = "Zbl 0850.76277",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of London. Series A,
Mathematical and physical sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/content/current",
}
@Article{Musgrave:1991:AFL,
author = "F. K. Musgrave and B. B. Mandelbrot",
title = "The art of fractal landscapes",
journal = j-IBM-JRD,
volume = "35",
number = "4",
pages = "535--536, 539",
month = jul,
year = "1991",
CODEN = "IBMJAE",
DOI = "https://doi.org/10.1147/rd.354.0535",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib;
http://www.research.ibm.com/journal/",
abstract = "Synthetic images of fractal landscapes have moved
beyond science to enter the domain of `art for art's
sake'. The authors discuss some of the ramifications of
this artistic aspect: improving the fractal description
of terrains, adding fractal textures to surfaces, and
using parallel computers. They illuminate the
peculiarities of attaining artistic self-expression in
representational imagery purely through formal logic,
and discuss its import.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci. and Math., Yale Univ., New
Haven, CT, USA",
classcodes = "C7820 (Humanities); C6130B (Graphics techniques)",
classification = "C6130B (Graphics techniques); C7820 (Humanities)",
corpsource = "Dept. of Comput. Sci. and Math., Yale Univ., New
Haven, CT, USA",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
keywords = "Art; art; Artistic self-expression; artistic
self-expression; computer graphics; Formal logic;
formal logic; fractal; fractal landscapes; Fractal
landscapes; Fractal textures; fractals; Parallel
computers; parallel computers; representational
imagery; Representational imagery; synthetic images;
Synthetic images; terrains; Terrains; textures",
thesaurus = "Art; Computer graphics; Fractals",
treatment = "A Application; P Practical",
}
@Article{Evertsz:1992:EVF,
author = "Carl J. G. Evertsz and Beno{\^\i}t B. Mandelbrot and
Lionel Woog",
title = "Erratum: Variability of the form and of the harmonic
measure for small off-off-lattice diffusion-limited
aggregates [Phys. Rev. {A} 4 5, 5798 (1992)]",
journal = j-PHYS-REV-A,
volume = "45",
pages = "8985--??",
year = "1992",
CODEN = "PLRAAN",
ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
ISSN-L = "1050-2947",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRA/v45/e8985",
acknowledgement = ack-nhfb,
fjournal = "Physical Review A (Atomic, Molecular, and Optical
Physics)",
journal-URL = "http://pra.aps.org/browse",
}
@Article{Evertsz:1992:HMA,
author = "Carl J. G. Evertsz and Beno{\^\i}t B. Mandelbrot",
title = "Harmonic measure around a linearly self-similar tree",
journal = j-J-PHYS-A,
volume = "25",
number = "7",
pages = "1781--1797",
month = "????",
year = "1992",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "28A80 (31-04 31A99)",
MRnumber = "1156856 (93b:28018)",
MRreviewer = "Ilya S. Molchanov",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/25/1781",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Evertsz:1992:VFH,
author = "Carl J. G. Evertsz and Beno{\^\i}t B. Mandelbrot and
Lionel Woog",
title = "Variability of the form and of the harmonic measure
for small off-off-lattice diffusion-limited
aggregates",
journal = j-PHYS-REV-A,
volume = "45",
pages = "5798--??",
year = "1992",
CODEN = "PLRAAN",
ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
ISSN-L = "1050-2947",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRA/v45/e5798",
acknowledgement = ack-nhfb,
fjournal = "Physical Review A (Atomic, Molecular, and Optical
Physics)",
journal-URL = "http://pra.aps.org/browse",
}
@Article{Mandelbrot:1992:PDS,
author = "Beno{\^\i}t Mandelbrot",
title = "Plane {DLA} is not self-similar; is it a fractal that
becomes increasingly compact as it grows?",
journal = j-PHYSICA-A,
volume = "191",
number = "1--4",
pages = "95--107",
day = "15",
month = dec,
year = "1992",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(92)90511-N",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037843719290511N",
acknowledgement = ack-nhfb,
fjournal = "Physica A",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Article{Mandelbrot:1992:SSH,
author = "Beno{\^\i}t Mandelbrot",
title = "Self-similarity of harmonic measure on {DLA}",
journal = j-PHYSICA-A,
volume = "185",
number = "1--4",
pages = "77--86",
day = "15",
month = jun,
year = "1992",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(92)90440-2",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0378437192904402",
acknowledgement = ack-nhfb,
fjournal = "Physica A",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@InCollection{Mandelbrot:1993:FAS,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "The visual mind",
title = "Fractals and an art for the sake of science",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "11--14",
year = "1993",
MRclass = "00A69",
MRnumber = "1255835",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Leonardo Book Ser.",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:1993:MMM,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Chaos in {Australia} ({Sydney}, 1990)",
title = "The {Minkowski} measure and multifractal anomalies in
invariant measures of parabolic dynamic systems",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "83--94",
year = "1993",
MRclass = "58F11 (28A80)",
MRnumber = "1345829 (96e:58091)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1993:O,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Opinions",
journal = j-FRACTALS,
volume = "1",
number = "1",
pages = "117--123",
month = "????",
year = "1993",
CODEN = "FRACEG",
DOI = "https://doi.org/10.1142/S0218348X93000137",
ISSN = "0218-348X",
MRclass = "00A35 (28A80)",
MRnumber = "1230497 (94d:00008)",
MRreviewer = "Frederick R. Marotto",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 1019.00508",
acknowledgement = ack-nhfb,
fjournal = "Fractals. Complex Geometry, Patterns, and Scaling in
Nature and Society",
journal-URL = "http://www.worldscientific.com/loi/fractals",
}
@Article{Mandelbrot:1993:OE,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Opinions (essay)",
journal = "Symmetry Cult. Sci.",
volume = "4",
number = "3",
pages = "319--328",
month = "????",
year = "1993",
CODEN = "????",
ISSN = "0865-4824",
MRclass = "00A99",
MRnumber = "1839018",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0887.01037",
acknowledgement = ack-nhfb,
fjournal = "Symmetry: Culture and Science. The Quarterly of the
International Society for the Interdisciplinary Study
of Symmetry",
}
@Article{Mandelbrot:1993:SSC,
author = "Beno{\^\i}t Mandelbrot",
title = "Self-similarity and covered neighborhoods of fractals:
{A} random walk test",
journal = j-PHYSICA-A,
volume = "196",
number = "1",
pages = "1--5",
day = "15",
month = may,
year = "1993",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(93)90076-G",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037843719390076G",
acknowledgement = ack-nhfb,
fjournal = "Physica A",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Article{Stauffer:1993:SSC,
author = "D. Stauffer and A. Aharony and B. B. Mandelbrot",
title = "Self-similarity and covered neighborhoods of fractals:
a random walk test",
journal = j-PHYSICA-A,
volume = "196",
number = "1",
pages = "1--5",
month = "????",
year = "1993",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/0378-4371(93)90076-G",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Sat Sep 8 13:49:34 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0808.60037",
acknowledgement = ack-nhfb,
classmath = "60G18 (Self-similar processes) 28A80 (Fractals) 37D45
(Strange attractors, chaotic dynamics)",
fjournal = "Physica A",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
keywords = "fractal; self-similarity; tube-like neighbourhoods of
random walk trajectories",
reviewer = "G. Keller (Erlangen)",
}
@Article{Mandelbrot:1994:ACT,
author = "Beno{\^\i}t B. Mandelbrot and Dietrich Stauffer",
title = "Antipodal correlations and the texture (fractal
lacunarity) in critical percolation clusters",
journal = j-J-PHYS-A,
volume = "27",
number = "9",
pages = "L237--L242",
month = "????",
year = "1994",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82B43",
MRnumber = "1282138 (95c:82024)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/27/L237",
ZMnumber = "Zbl 0843.58112",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@InCollection{Mandelbrot:1994:I,
author = "Beno{\^\i}t Mandelbrot",
title = "Introduction",
crossref = "Hirst:1994:FLR",
pages = "??--??",
year = "1994",
bibdate = "Tue Sep 11 09:17:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Yekutieli:1994:HSO,
author = "Iddo Yekutieli and Beno{\^\i}t B. Mandelbrot",
title = "{Horton--Strahler} ordering of random binary trees",
journal = j-J-PHYS-A,
volume = "27",
number = "2",
pages = "285--293",
month = "????",
year = "1994",
CODEN = "JPHAC5",
DOI = "https://doi.org/10.1088/0305-4470/27/2/014",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82C41 (82-04)",
MRnumber = "1267413 (94m:82022)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/27/285",
ZMnumber = "Zbl 0820.60025",
acknowledgement = ack-nhfb,
classmath = "60G18 (Self-similar processes) 82D20 (Solids
(statistical mechanics))",
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
keywords = "expected bifurcation ratio; Horton--Strahler ordering
for random binary trees; self-similar branching
structures",
}
@Article{Yekutieli:1994:SSB,
author = "Iddo Yekutieli and Beno{\^\i}t B. Mandelbrot and Henry
Kaufman",
title = "Self-similarity of the branching structure in very
large {DLA} clusters and other branching fractals",
journal = j-J-PHYS-A,
volume = "27",
number = "2",
pages = "275--284",
month = "????",
year = "1994",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82C41 (82-04 82C24)",
MRnumber = "1267412 (94m:82021)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0305-4470/27/275",
ZMnumber = "Zbl 0820.60024",
acknowledgement = ack-nhfb,
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Cioczek-Georges:1995:CMA,
author = "R. Cioczek-Georges and B. B. Mandelbrot",
title = "A class of micropulses and antipersistent fractional
{Brownian} motion",
journal = j-STOCH-PROC-APPL,
volume = "60",
number = "1",
pages = "1--18",
month = "????",
year = "1995",
CODEN = "STOPB7",
DOI = "https://doi.org/10.1016/0304-4149(95)00046-1",
ISSN = "0304-4149 (print), 1879-209X (electronic)",
ISSN-L = "0304-4149",
MRclass = "60G18 (60J65)",
MRnumber = "1362316 (97c:60106)",
MRreviewer = "Albert Benassi",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0846.60055",
acknowledgement = ack-nhfb,
fjournal = "Stochastic Processes and Their Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03044149",
}
@Article{Cioczek-Georges:1995:SFS,
author = "Renata Cioczek-Georges and Beno{\^\i}t B. Mandelbrot
and Gennady Samorodnitsky and Murad S. Taqqu",
title = "Stable Fractal Sums of Pulses: The Cylindrical Case",
journal = j-BERNOULLI,
volume = "1",
number = "3",
pages = "201--216",
month = sep,
year = "1995",
CODEN = "????",
DOI = "https://doi.org/10.2307/3318477",
ISSN = "1350-7265 (print), 1573-9759 (electronic)",
ISSN-L = "1350-7265",
MRclass = "60G18 (60G17)",
MRnumber = "1363538 (96m:60098)",
MRreviewer = "Toshio Mori",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3318477",
acknowledgement = ack-nhfb,
fjournal = "Bernoulli. Official Journal of the Bernoulli Society
for Mathematical Statistics and Probability",
journal-URL = "http://www.jstor.org/journal/bernoulli",
}
@Article{Kaufman:1995:PDL,
author = "Henry Kaufman and Alessandro Vespignani and
Beno{\^\i}t B. Mandelbrot and Lionel Woog",
title = "Parallel diffusion-limited aggregation",
journal = j-PHYS-REV-E,
volume = "52",
pages = "5602--??",
year = "1995",
CODEN = "PLEEE8",
ISSN = "1539-3755 (print), 1550-2376 (electronic)",
ISSN-L = "1539-3755",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRE/v52/e5602",
acknowledgement = ack-nhfb,
fjournal = "Physical Review E (Statistical physics, plasmas,
fluids, and related interdisciplinary topics)",
journal-URL = "http://pre.aps.org/browse",
}
@Article{Mandelbrot:1995:CMA,
author = "Beno{\^\i}t Mandelbrot",
title = "A class of micropulses and antipersistent fractional
{Brownian} motion",
journal = j-STOCH-PROC-APPL,
volume = "60",
number = "1",
pages = "1--18",
month = nov,
year = "1995",
CODEN = "STOPB7",
DOI = "https://doi.org/10.1016/0304-4149(95)00046-1",
ISSN = "0304-4149 (print), 1879-209X (electronic)",
ISSN-L = "0304-4149",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0304414995000461",
acknowledgement = ack-nhfb,
fjournal = "Stochastic Processes and Their Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03044149",
}
@InCollection{Mandelbrot:1995:IFS,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "L{\'e}vy flights and related topics in physics
({Nice}, 1994)",
title = "Introduction to fractal sums of pulses",
volume = "450",
publisher = pub-SV,
address = pub-SV:adr,
pages = "110--123",
year = "1995",
DOI = "https://doi.org/10.1007/3-540-59222-9_29",
ISSN = "0075-8450 (print), 1616-6361 (electronic)",
ISSN-L = "0075-8450",
MRclass = "82B41",
MRnumber = "1381488 (97b:82054)",
MRreviewer = "Remo Badii",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNP,
URL = "http://www.springerlink.com/content/y52438vl6j470635/",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1995:MFI,
author = "Beno{\^\i}t Mandelbrot",
title = "Multifractal Formalism for Infinite Multinomial
Measures",
journal = j-ADV-APPL-MATH,
volume = "16",
number = "2",
pages = "132--150",
month = jun,
year = "1995",
CODEN = "????",
DOI = "https://doi.org/10.1006/aama.1995.1007",
ISSN = "0196-8858 (print), 1090-2074 (electronic)",
ISSN-L = "0196-8858",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S019688588571007X",
acknowledgement = ack-nhfb,
fjournal = "Advances in Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/01968858",
}
@InCollection{Mandelbrot:1995:MFL,
author = "Beno{\^\i}t B. Mandelbrot",
editor = "Christoph Bandt and others",
booktitle = "{Fractal geometry and stochastics. Proceedings of a
conference on fractal geometry and stochastics held at
Finsterbergen, Germany, June 12--18, 1994}",
title = "Measures of fractal lacunarity: {Minkowski} content
and alternatives",
volume = "37",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "15--42",
year = "1995",
MRclass = "28A80 (28A75 60D05)",
MRnumber = "1391969 (97d:28009)",
MRreviewer = "Hermann Haase",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Progress in Probability",
ZMnumber = "Zbl 0841.28010",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1995:NDH,
author = "B. B. Mandelbrot",
title = "Negative dimensions and {H{\"o}lders}, multifractals
and their {H{\"o}lder} spectra, and the role of lateral
preasymptotics in science",
journal = j-FOURIER-ANAL-APPL,
volume = "Special Issue",
number = "??",
pages = "409--432",
month = "????",
year = "1995",
CODEN = "????",
ISSN = "1069-5869",
MRclass = "28A80 (60D05)",
MRnumber = "1364900 (97a:28005)",
MRreviewer = "S. J. Taylor",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Proceedings of the Conference in Honor of Jean-Pierre
Kahane (Orsay, 1993).",
ZMnumber = "Zbl 0887.28004",
acknowledgement = ack-nhfb,
fjournal = "Journal of {Fourier} analysis and applications",
}
@InCollection{Mandelbrot:1995:PLK,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "{L{\'e}vy} flights and related topics in physics
({Nice}, 1994)",
title = "The {Paul L{\'e}vy} {I} knew",
volume = "450",
publisher = pub-SV,
address = pub-SV:adr,
pages = "ix--xii",
year = "1995",
ISSN = "0075-8450 (print), 1616-6361 (electronic)",
ISSN-L = "0075-8450",
MRclass = "01A70",
MRnumber = "1381482",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-LNP,
acknowledgement = ack-nhfb,
}
@Article{Riedi:1995:MFI,
author = "Rudolf H. Riedi and Beno{\^\i}t B. Mandelbrot",
title = "Multifractal formalism for infinite multinomial
measures",
journal = j-ADV-APPL-MATH,
volume = "16",
number = "2",
pages = "132--150",
month = "????",
year = "1995",
CODEN = "????",
DOI = "https://doi.org/10.1006/aama.1995.1007",
ISSN = "0196-8858 (print), 1090-2074 (electronic)",
ISSN-L = "0196-8858",
MRclass = "28A80 (28A78)",
MRnumber = "1334146 (96d:28008)",
MRreviewer = "Lars Olsen",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Advances in Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/01968858",
}
@Article{Cioczek-Georges:1996:AMF,
author = "R. Cioczek-Georges and B. B. Mandelbrot",
title = "Alternative micropulses and fractional {Brownian}
motion",
journal = j-STOCH-PROC-APPL,
volume = "64",
number = "2",
pages = "143--152",
month = "????",
year = "1996",
CODEN = "STOPB7",
DOI = "https://doi.org/10.1016/S0304-4149(96)00089-0",
ISSN = "0304-4149 (print), 1879-209X (electronic)",
ISSN-L = "0304-4149",
MRclass = "60G18 (60F05 60G15)",
MRnumber = "1424232 (98d:60076)",
MRreviewer = "Albert Benassi",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0879.60076",
acknowledgement = ack-nhfb,
fjournal = "Stochastic Processes and Their Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03044149",
}
@Article{Hovi:1996:GIL,
author = "J.-P. Hovi and Amnon Aharony and Dietrich Stauffer and
Beno{\^\i}t B. Mandelbrot",
title = "Gap Independence and Lacunarity in Percolation
Clusters",
journal = j-PHYS-REV-LET,
volume = "77",
pages = "877--??",
year = "1996",
CODEN = "PRLTAO",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRL/v77/e877",
acknowledgement = ack-nhfb,
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@Article{Jaffard:1996:LRN,
author = "St{\'e}phane Jaffard and Beno{\^\i}t B. Mandelbrot",
title = "Local regularity of nonsmooth wavelet expansions and
application to the {P{\'o}lya} function",
journal = j-ADV-MATH,
volume = "120",
number = "2",
pages = "265--282",
month = "????",
year = "1996",
CODEN = "ADMTA4",
DOI = "https://doi.org/10.1006/aima.1996.0039",
ISSN = "0001-8708 (print), 1090-2082 (electronic)",
ISSN-L = "0001-8708",
MRclass = "42C15",
MRnumber = "1397083 (98c:42031)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0916.42024",
acknowledgement = ack-nhfb,
fjournal = "Advances in Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/00018708",
}
@Article{Mandelbrot:1996:AMF,
author = "Beno{\^\i}t Mandelbrot",
title = "Alternative micropulses and fractional {Brownian}
motion",
journal = j-STOCH-PROC-APPL,
volume = "64",
number = "2",
pages = "143--152",
day = "29",
month = nov,
year = "1996",
CODEN = "STOPB7",
DOI = "https://doi.org/10.1016/S0304-4149(96)00089-0",
ISSN = "0304-4149 (print), 1879-209X (electronic)",
ISSN-L = "0304-4149",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0304414996000890",
acknowledgement = ack-nhfb,
fjournal = "Stochastic Processes and Their Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03044149",
}
@Article{Mandelbrot:1996:LRN,
author = "Beno{\^\i}t Mandelbrot",
title = "Local Regularity of Nonsmooth Wavelet Expansions and
Application to the {P{\'o}lya} Function",
journal = j-ADV-MATH,
volume = "120",
number = "2",
pages = "265--282",
day = "25",
month = jun,
year = "1996",
CODEN = "ADMTA4",
DOI = "https://doi.org/10.1006/aima.1996.0039",
ISSN = "0001-8708 (print), 1090-2082 (electronic)",
ISSN-L = "0001-8708",
bibdate = "Sat Sep 8 16:48:47 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0001870896900390",
acknowledgement = ack-nhfb,
fjournal = "Advances in Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/00018708",
}
@Article{Blumenfeld:1997:LDM,
author = "Raphael Blumenfeld and Beno{\^\i}t B. Mandelbrot",
title = "{L{\'e}vy} dusts, {Mittag-Leffler} statistics, mass
fractal lacunarity, and perceived dimension",
journal = j-PHYS-REV-E,
volume = "56",
number = "1, part A",
pages = "112--118",
month = "????",
year = "1997",
CODEN = "PLEEE8",
DOI = "https://doi.org/10.1103/PhysRevE.56.112",
ISSN = "1539-3755 (print), 1550-2376 (electronic)",
ISSN-L = "1539-3755",
MRclass = "82C31",
MRnumber = "1459089 (98f:82099)",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRE/v56/e112",
ZMnumber = "Zbl 0850.28004",
acknowledgement = ack-nhfb,
fjournal = "Physical Review E (Statistical physics, plasmas,
fluids, and related interdisciplinary topics)",
journal-URL = "http://pre.aps.org/browse",
}
@Book{Mandelbrot:1997:FSF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractals and scaling in finance. {Discontinuity},
concentration, risk. {Selecta} Volume {E}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 551",
year = "1997",
ISBN = "0-387-98363-5",
ISBN-13 = "978-0-387-98363-9",
LCCN = "HG176.5 .M36 1997",
MRclass = "90A12 (28A80 60J65 90A16)",
MRnumber = "1475217 (98i:90019)",
MRreviewer = "Bing Hong Wang",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "With a foreword by R. E. Gomory, and contributions by
P.H. Cootner and others.",
series = "Selected Works of Beno{\^\i}t B. Mandelbrot",
ZMnumber = "Zbl 1005.9100",
acknowledgement = ack-nhfb,
tableofcontents = "Intro \\
Major Themes \\
New Methods in statistical economics \\
Historical Background \\
States of randomness \\
Self-similarity and self-affinity \\
Rank sized plots \\
Proportional growth and other explanations of scaling
\\
A case against the log distribution \\
Personal incomes and firm sizes \\
Random flight on Wall Street \\
Nonlinear forecasts",
}
@Book{Mandelbrot:1997:GFN,
author = "Beno{\^\i}t B. Mandelbrot",
title = "La geometr{\'\i}a fractal de la naturaleza.
({Spanish}) [{The} Fractal Geometry of Nature]",
volume = "49",
publisher = "Tusquets Editores S.A.",
address = "Barcelona, Spain",
pages = "662",
year = "1997",
ISBN = "84-8310-549-7",
ISBN-13 = "978-84-8310-549-8",
LCCN = "????",
MRclass = "00A69 (28A80 58F13)",
MRnumber = "1484414 (98g:00011)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Translated from the English by Josep Llosa.",
series = "Metatemas",
acknowledgement = ack-nhfb,
language = "Spanish",
}
@Article{Mandelbrot:1997:IFC,
author = "Beno{\^\i}t Mandelbrot",
title = "Inversion Formula for Continuous Multifractals",
journal = j-ADV-APPL-MATH,
volume = "19",
number = "3",
pages = "332--354",
month = oct,
year = "1997",
CODEN = "????",
DOI = "https://doi.org/10.1006/aama.1997.0550",
ISSN = "0196-8858 (print), 1090-2074 (electronic)",
ISSN-L = "0196-8858",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0196885897905509",
acknowledgement = ack-nhfb,
fjournal = "Advances in Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/01968858",
}
@Article{Mandelbrot:1997:IMI,
author = "Beno{\^\i}t B. Mandelbrot and Rudolf H. Riedi",
title = "Inverse Measures, the Inversion Formula, and
Discontinuous Multifractals",
journal = j-ADV-APPL-MATH,
volume = "18",
number = "1",
pages = "50--58",
month = jan,
year = "1997",
CODEN = "????",
DOI = "https://doi.org/10.1006/aama.1996.0500",
ISSN = "0196-8858 (print), 1090-2074 (electronic)",
ISSN-L = "0196-8858",
MRclass = "28A80 (58F11 60D05)",
MRnumber = "1425949 (98e:28011)",
MRreviewer = "Lars Olsen",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S019688589690500X",
acknowledgement = ack-nhfb,
fjournal = "Advances in Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/01968858",
}
@Article{Mandelbrot:1997:PPM,
author = "B. B. Mandelbrot and St{\'e}phane Jaffard",
title = "{Peano--P{\'o}lya} motions, when time is intrinsic or
binomial (uniform or multifractal)",
journal = j-MATH-INTEL,
volume = "19",
number = "4",
pages = "21--26",
month = dec,
year = "1997",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03024410",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "28A80",
MRnumber = "1488862 (98k:28012)",
MRreviewer = "Hermann Haase",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/9120830561261547/",
ZMnumber = "Zbl 0922.28006",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Article{Riedi:1997:IFC,
author = "Rudolf H. Riedi and Beno{\^\i}t B. Mandelbrot",
title = "Inversion formula for continuous multifractals",
journal = j-ADV-APPL-MATH,
volume = "19",
number = "3",
pages = "332--354",
month = "????",
year = "1997",
CODEN = "????",
DOI = "https://doi.org/10.1006/aama.1997.0550",
ISSN = "0196-8858 (print), 1090-2074 (electronic)",
ISSN-L = "0196-8858",
MRclass = "28A80",
MRnumber = "1469309 (99b:28012)",
MRreviewer = "Norbert Patzschke",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0892.28007",
acknowledgement = ack-nhfb,
fjournal = "Advances in Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/01968858",
}
@Article{Mandelbrot:1998:FSF,
author = "Beno{\^\i}t B. Mandelbrot and Nigel Goldenfeld",
title = "Fractals and Scaling in Finance: Discontinuity,
Concentration, Risk",
journal = j-PHYS-TODAY,
volume = "51",
number = "8",
pages = "59--??",
month = aug,
year = "1998",
CODEN = "PHTOAD",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/phtoad/v51/i8/p59/s1",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@Article{Mandelbrot:1998:NF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Is Nature Fractal?",
journal = j-SCIENCE,
volume = "279",
number = "5352",
pages = "783--783",
day = "6",
month = feb,
year = "1998",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.279.5352.783c",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/279/5352/783.3.full",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Mandelbrot:1998:NFI,
author = "Beno{\^\i}t B. Mandelbrot and Peter Pfeifer and Ofer
Biham and Ofer Malcai and Daniel A. Lidar and David
Avnir",
title = "Is Nature Fractal?",
journal = j-SCIENCE,
volume = "279",
number = "5352",
pages = "783, 785--786",
day = "6",
month = feb,
year = "1998",
CODEN = "SCIEAS",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2894997",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Book{Mandelbrot:1998:OFF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Les objets fractals: Forme, hasard et dimension.
({French}) [Fractal objects: form, chance, and
dimension]",
publisher = "Flammarion",
address = "Paris, France",
edition = "Fourth",
pages = "212",
year = "1998",
ISBN = "2-08-081301-3",
ISBN-13 = "978-2-08-081301-5",
LCCN = "QA447 .M36",
bibdate = "Sat Sep 8 15:45:07 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
library.ox.ac.uk:210/ADVANCE",
acknowledgement = ack-nhfb,
language = "French",
subject = "Geometry; Mathematical models; Stochastic processes;
Fractals",
}
@InCollection{Mandelbrot:1998:P,
author = "Beno{\^\i}t Mandelbrot",
title = "Preface",
crossref = "Stewart:1998:DJN",
pages = "??--??",
year = "1998",
bibdate = "Tue Sep 11 10:13:55 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Riedi:1998:EMF,
author = "Rudolf H. Riedi and Beno{\^\i}t B. Mandelbrot",
title = "Exceptions to the multifractal formalism for
discontinuous measures",
journal = j-MATH-PROC-CAMB-PHILOS-SOC,
volume = "123",
number = "1",
pages = "133--157",
month = "????",
year = "1998",
CODEN = "MPCPCO",
DOI = "https://doi.org/10.1017/S0305004197002119",
ISSN = "0305-0041 (print), 1469-8064 (electronic)",
ISSN-L = "0305-0041",
MRclass = "28A80",
MRnumber = "1474871 (98m:28018)",
MRreviewer = "Norbert Patzschke",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0892.28008",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Proceedings of the Cambridge
Philosophical Society",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=PSP",
}
@Book{Vuori:1998:MES,
author = "Harri Vuori and Beno{\^\i}t B. Mandelbrot",
title = "The {Mandelbrot} echoes: for symphony orchestra,
1995",
publisher = "Edition Love",
address = "Helsinki, Finland",
year = "1998",
LCCN = "M1045.V96 M36 1998",
bibdate = "Sat Sep 8 15:40:11 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
note = "1 score (65).",
acknowledgement = ack-nhfb,
remark = "Original version 1996.",
subject = "Orchestral music; Scores; Music; Manuscripts;
Facsimiles; Vuori, Harri",
}
@TechReport{Barral:1999:MPC,
author = "Julien Barral and Beno{\^\i}t B. Mandelbrot",
title = "Multifractal products of certain pulses",
institution = "UM2---D{\'e}partement des sciences math{\'e}matiques",
address = "Montpellier, France",
pages = "33",
year = "1999",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Coppens:1999:ENG,
author = "Marc-Olivier Coppens and Beno{\^\i}t B. Mandelbrot",
editor = "Michel Dekking",
booktitle = "Fractals: Theory and applications in engineering",
title = "Easy and natural generation of multifractals:
Multiplying harmonics of periodic functions",
publisher = pub-SV,
address = pub-SV:adr,
pages = "113--122",
year = "1999",
bibdate = "Sat Sep 8 12:12:43 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0965.28003",
acknowledgement = ack-nhfb,
classmath = "28A80 (Fractals) 60D05 (Geometric probability and
stochastic geometry)",
keywords = "multifractal measure; multifractal product of
functions; multinomial measure",
reviewer = "Yimin Xiao (East Lansing)",
}
@Book{Daintith:1999:DS,
editor = "John Daintith and Derek Gjertsen",
booktitle = "A Dictionary of Scientists",
title = "A Dictionary of Scientists",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "586",
year = "1999",
ISBN = "0-585-11047-6 (e-book), 0-19-280086-8 (paperback)",
ISBN-13 = "978-0-585-11047-9 (e-book), 978-0-19-280086-2
(paperback)",
LCCN = "Q141 .D52 1994",
bibdate = "Sat Jan 12 22:39:44 MST 2013",
bibsource = "catalogue.nla.gov.au:7090/Voyager;
https://www.math.utah.edu/pub/bibnet/authors/b/babbage-charles.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/oppenheimer-j-robert.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rutherford-ernest.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/schroedinger-erwin.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
https://www.math.utah.edu/pub/tex/bib/einstein.bib",
series = "Oxford paperback reference",
URL = "http://www.loc.gov/catdir/enhancements/fy0637/99488304-d.html;
http://www.loc.gov/catdir/enhancements/fy0637/99488304-t.html;
http://www.netLibrary.com/urlapi.asp?action=summary&v=1&bookid=12306",
abstract = "From Archimedes and Copernicus to Stephen Hawking and
Stephen Jay Gould, this is the most authoritative and
up-to-date biographical dictionary of scientists
currently available. Compact yet comprehensive, it will
be invaluable reference for scientists, students, and
anyone with a general interest in science. Over 1,600
entries, spanning over 2,500 years; international range
covers all areas of science, from physics and astronomy
to medicine and ecology, including key figures in the
fields of mathematics and technology; clear
explanations of the science itself and its historical
significance; includes all Nobel Laureates in physics,
chemistry, and physiology or medicine; comprehensive
index of topics, and extensive network of
cross-references to related entries.",
acknowledgement = ack-nhfb,
keywords = "Albert Einstein; Alexander Fleming; Archimedes;
Beno{\^\i}t Mandlebrot; Bill Gates; Carl Sagan; Charles
Babbage; Charles Darwin; Copernicus; Cyril Burt;
Douglas Hofstadter; Ed Witten; Edmond Halley; Edwin
Hubble; Ernest Rutherford; Erwin Schr{\"o}dinger;
Francis Crick; Fred Hoyle; Galileo; Gregor Mendel;
Henri Poincar{\'e}; Isaac Newton; Jame Watson; Jonas
Salk; Julius Robert Oppenheimer; Konrad Lorenz; Lewis
Wolpert; Linus Pauling; Louis Pasteur; Marie Curie;
Michael Faraday; Peter Medawar; Pythagoras; Richard
Dawkins; Richard Leakey; Robert Boyle; Sigmund Freud;
Stephen Jay Gould; Edward Teller; Werner Heisenberg;
William Harvey",
remark = "Abridged and updated edition of \booktitle{The
encyclopedia of scientists}: Institute of Physics,
1993.",
subject = "scientists; biography; dictionaries",
}
@Article{Mandelbrot:1999:CSP,
author = "Beno{\^\i}t B. Mandelbrot and Michael Frame",
title = "The Canopy and Shortest Path in a Self-Contacting
Fractal Tree",
journal = j-MATH-INTEL,
volume = "21",
number = "2",
pages = "18--27",
month = jun,
year = "1999",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF03024842",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
MRclass = "28A80",
MRnumber = "1684366 (2000a:28010)",
MRreviewer = "Remo Badii",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/136523377672365p/",
ZMnumber = "Zbl 1052.28500",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Book{Mandelbrot:1999:MNW,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Multifractals and $ 1 / f $ noise. {Wild}
self-affinity in physics (1963--1976). {Selecta} Volume
{N}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 442",
year = "1999",
ISBN = "0-387-98539-5",
ISBN-13 = "978-0-387-98539-8",
LCCN = "QA614.86 .M27 1999",
MRclass = "28A80 (37C45 37N20 60D05 60J65 76F99)",
MRnumber = "1713511 (2003c:28006)",
MRreviewer = "Daniel J. M. Schertzer",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "With contributions by J. M. Berger, J.-P. Kahane and
J. Peyri{\`e}re.",
series = "Selected Works of Beno{\^\i}t B. Mandelbrot",
ZMnumber = "Zbl 0956.28005",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:1999:MWW,
author = "Beno{\^\i}t B. Mandelbrot",
title = "A Multifractal Walk down {Wall Street}",
journal = j-SCI-AMER,
volume = "280",
number = "2",
pages = "70--73",
month = feb,
year = "1999",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0299-70",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 11:06:18 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
http://www.sciam.com/1999/0209issue/0209quicksummary.html;
OCLC Contents1st database",
URL = "http://www.nature.com/scientificamerican/journal/v280/n2/pdf/scientificamerican0299-70.pdf",
abstract = "When will the Dow top 10,000? When will it crash? This
famous mathematician argues that the complex geometric
patterns that describe the shapes of coastlines, ferns
and galaxies might model the capriciousness of
financial markets better than conventional portfolio
theory can.",
acknowledgement = ack-nhfb,
ajournal = "Sci. Amer.",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Mandelbrot:1999:RFP,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Renormalization and fixed points in finance, since
1962",
journal = j-PHYSICA-A,
volume = "263",
number = "1--4",
pages = "477--487",
day = "1",
month = feb,
year = "1999",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/S0378-4371(98)00520-2",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
MRclass = "91B28",
MRnumber = "1723366",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "STATPHYS 20 (Paris, 1998)",
URL = "http://www.sciencedirect.com/science/article/pii/S0378437198005202",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical Mechanics and its
Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Book{Mandelbrot:1999:SMF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Survey of multifractality in finance",
volume = "1238",
publisher = "The Foundation",
address = "New Haven, CT, USA",
pages = "????",
year = "1999",
LCCN = "????",
bibdate = "Sat Sep 8 15:40:26 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
prodorbis.library.yale.edu:7090/voyager",
series = "Cowles Foundation discussion paper",
acknowledgement = ack-nhfb,
}
@Book{Mandelbrot:2000:CS,
author = "Beno{\^\i}t B. Mandelbrot and Martin Shaw and Nigel
Lesmoir-Gordon",
title = "Clouds are not spheres",
publisher = "Gordon Films, Inc.",
address = "????",
year = "2000",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Mon Sep 10 15:38:08 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Video recording. Written by Nigel Lesmoir-Gordon, John
Tate, Bill Rood. Produced and directed by Nigel
Lesmoir-Gordon. Cameraman: Jo Zafar. Editor: Gabriel
Lesmoir-Gordon. Music: James Watson and Charles
Wuorinen.",
acknowledgement = ack-nhfb,
tableofcontents = "Introduction to Fractal Geometry (4:15) \\
Biographical Notes on Mandelbrot (3:39) \\
Mandelbrot's Special Abilities (5:19) \\
Application of Mandelbrot's Discovery (4:58) \\
Stock Prices Provide a Model (2:52) \\
Pure Mathematics and Nature (5:07) \\
Quest for Continuity (2:24) \\
Turbulence Theory (5:31) \\
Fractals Are Born (3:03) \\
Mandelbrot Set (5:32) \\
Practical Applications of Fractals (4:50) \\
Mystery and Beauty of Fractals (3:23) \\
Value of Fractals (4:25) \\
Intro (0:06) \\
It's a wiggly world (0:35) \\
Benoit\_test (1:01).",
}
@InCollection{Mandelbrot:2000:SMQ,
author = "Beno{\^\i}t B. Mandelbrot",
editor = "Jean-Paul Pier",
booktitle = "Development of mathematics 1950--2000",
title = "Some mathematical questions arising in fractal
geometry",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "795--811",
year = "2000",
MRclass = "28A80 (01A60 37F45 37F50)",
MRnumber = "1796859 (2001k:28011)",
MRreviewer = "Andreas Schief",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0963.37039",
acknowledgement = ack-nhfb,
}
@Book{Mandelbrot:2001:LFA,
author = "Beno{\^\i}t Mandelbrot",
title = "{L}'anneau fractal de l'art {\`a} l'art {\`a} travers
la g{\'e}om{\'e}trie, la finance et les sciences
[images anim{\'e}es]. ({French}) [{The} fractal ring of
art to art across geometry, finance, and science
[animated images]]",
publisher = "Service du Film de Recherche Scientifique",
address = "Vanves, France",
year = "2001",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "One VHS cassette (72 min).",
acknowledgement = ack-nhfb,
language = "French",
remark = "Videotaped lecture by the author.",
}
@Article{Mandelbrot:2001:SFPa,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Scaling in financial prices. {I}. {Tails} and
dependence",
journal = j-QUANT-FINANCE,
volume = "1",
number = "1",
pages = "113--123",
month = "????",
year = "2001",
CODEN = "QFUIAV",
DOI = "https://doi.org/10.1088/1469-7688/1/1/308",
ISSN = "1469-7688 (print), 1469-7696 (electronic)",
ISSN-L = "1469-7688",
MRclass = "91B28 (91B02)",
MRnumber = "1810018 (2001m:91095)",
MRreviewer = "Gian-Italo Bischi",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Quantitative Finance",
journal-URL = "http://www.tandfonline.com/loi/rquf20",
}
@Article{Mandelbrot:2001:SFPb,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Scaling in financial prices. {II}. {Multifractals} and
the star equation",
journal = j-QUANT-FINANCE,
volume = "1",
number = "1",
pages = "124--130",
month = "????",
year = "2001",
CODEN = "QFUIAV",
DOI = "https://doi.org/10.1088/1469-7688/1/1/309",
ISSN = "1469-7688 (print), 1469-7696 (electronic)",
ISSN-L = "1469-7688",
MRclass = "91B28 (91B02)",
MRnumber = "1810019 (2001m:91096)",
MRreviewer = "Gian-Italo Bischi",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Quantitative Finance",
journal-URL = "http://www.tandfonline.com/loi/rquf20",
}
@Article{Mandelbrot:2001:SVP,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Stochastic volatility, power laws and long memory.
Comment on: {``Stochastic volatility as a simple
generator of apparent financial power laws and long
memory'' [Quant. Finance {\bf 1} (2001), no. 6,
621--631; 1 870 018] by B. LeBaron}",
journal = j-QUANT-FINANCE,
volume = "1",
number = "6",
pages = "558--559",
month = "????",
year = "2001",
CODEN = "QFUIAV",
DOI = "https://doi.org/10.1088/1469-7688/1/6/603",
ISSN = "1469-7688 (print), 1469-7696 (electronic)",
ISSN-L = "1469-7688",
MRclass = "91B84",
MRnumber = "1870013",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Quantitative Finance",
journal-URL = "http://www.tandfonline.com/loi/rquf20",
}
@InCollection{Mandelbrot:2001:TFM,
author = "Beno{\^\i}t B. Mandelbrot",
booktitle = "Challenges for the 21st century ({Singapore}, 2000)",
title = "Topics on fractals in mathematics and physics",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "461--478",
year = "2001",
MRclass = "28A80 (60J65)",
MRnumber = "1875031 (2002j:28017)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0997.28004",
acknowledgement = ack-nhfb,
}
@Article{Barral:2002:MPC,
author = "Julien Barral and Beno{\^\i}t B. Mandelbrot",
title = "Multifractal products of cylindrical pulses",
journal = j-PROBAB-THEORY-RELAT-FIELDS,
volume = "124",
number = "3",
pages = "409--430",
month = "????",
year = "2002",
CODEN = "PTRFEU",
DOI = "https://doi.org/10.1007/s004400200220",
ISSN = "0178-8051 (print), 1432-2064 (electronic)",
ISSN-L = "0178-8051",
MRclass = "28A80 (60G18 60G48 60G55 60G57)",
MRnumber = "1939653 (2004g:28005)",
MRreviewer = "Ren{\'e} L. Schilling",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/ggbdvw9n6bh590up/",
ZMnumber = "Zbl 1014.60042",
acknowledgement = ack-nhfb,
fjournal = "Probability Theory and Related Fields",
journal-URL = "http://link.springer.com/journal/440",
}
@InCollection{Frame:2002:PFT,
author = "Michael Frame and Beno{\^\i}t Mandelbrot",
title = "Panorama of fractals and their uses: an alphabetic
wordbook-index",
crossref = "Frame:2002:FGM",
pages = "??--??",
year = "2002",
bibdate = "Tue Sep 11 09:13:19 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:2002:AGR,
author = "Beno{\^\i}t B. Mandelbrot and Boaz Kol and Amnon
Aharony",
title = "Angular Gaps in Radial Diffusion-Limited Aggregation:
Two Fractal Dimensions and Nontransient Deviations from
Linear Self-Similarity",
journal = j-PHYS-REV-LET,
volume = "88",
pages = "055501",
year = "2002",
CODEN = "PRLTAO",
DOI = "https://doi.org/10.1103/PhysRevLett.88.055501",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRL/v88/e055501",
acknowledgement = ack-nhfb,
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@InCollection{Mandelbrot:2002:FRA,
author = "Beno{\^\i}t Mandelbrot",
title = "The fractal ring from art to art through mathematics,
finance, and the sciences",
crossref = "Frame:2002:FGM",
pages = "??--??",
year = "2002",
bibdate = "Tue Sep 11 09:13:19 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Book{Mandelbrot:2002:GSA,
author = "Beno{\^\i}t B. Mandelbrot",
title = "{Gaussian} self-affinity and fractals: Globality, the
earth, $ 1 / f $ noise, and {$ R / S $}. {Selecta} (old
or new) Volume {H}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 654",
year = "2002",
ISBN = "0-387-98993-5",
ISBN-13 = "978-0-387-98993-8",
LCCN = "QA614.86 .M24 2001",
MRclass = "01A75 (28A80 37A99 60J60 60J65 82B31)",
MRnumber = "1878884 (2003a:01026)",
MRreviewer = "Mich{\`e}le Mastrangelo-Dehen",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "With contributions by F. J. Damerau, M. Frame, K.
McCamy, J. W. Van Ness, J. R. Wallis, and others.",
series = "Selected Works of Beno{\^\i}t B. Mandelbrot",
ZMnumber = "Zbl 1007.01020",
acknowledgement = ack-nhfb,
short-tableofcontents = "Advances in Old But Open Topics \\
Broad Continuing Issues \\
Introductions from the 1960s \\
Fractional Brownian Motions \\
Fractional Brownian Surfaces \\
Self-Affine Cartoons in Grids --- Their Multiple
Fractal Dimensions \\
R/S Analysis and Its Uses",
tableofcontents = "Overview of fractals and multifractals (2000) \\
I: Advances in Old but Open Topics (2000) \\
1: Tile self-affinity: close-up on a versatile family
(2000) \\
2: Steps toward a definition of self-affine functions
(2000) \\
3: Fractal dimensions of Wiener Brownian motion, random
walk, and their clusters: 2, 3/2, 4/3, 1, and the new
``transient'' 5/3 (2000) \\
4: Still growing Weierstrass family of functions (M
1982F, 2000) \\
5: Iso- and heterodiffusion, and statistics using the
bridge range; mesodiffusion (2000) \\
6: Diffusion self-affine fractal functions: their
stationarity in logarithmic time (2000) \\
II: Broad Continuing Issues (2000) \\
7: Experimental power-laws suggest that self-affine
scaling is ubiquitous in nature (2000) \\
8: Recorded history and personal recollections (2000)
\\
III: Introductions from the 1960s \\
9: Self-affinity and Hurst's law (M 1965h) \\
10: Noah, Joseph and operational hydrology (M and
Wallis 1968) \\
IV: Fractional Brownian Motions \\
11: Fractional Brownian motions, fractional noises and
applications (M and Van Ness 1968) Appendix (2000) \\
12: Computer experiments with fractional Gaussian
noises. Part 1: Sample graphs, averages and variance (M
and Wallis 1969a) \\
13: Computer experiments with fractional Gaussian
noises: Part 2: Rescaled bridge ranges and ``pox
diagrams'' (M and Wallis 1969a) \\
14: Computer experiments with fractional Gaussian
noises. Part 3: Mathematical appendix (M and Wallis
1969a) \\
15: Fast fractional Gaussian noise generator (M 1971f)
\\
16: Broken-line approximation to fractional noise (M
1972o) \\
V: Fractional Brownian Surfaces \\
17: Poisson approximation of the multi-temporal
Brownian functions and generalizations (M 1975b) \\
18: Geometry of homogeneous scalar turbulence:
iso-surface fractal dimensions 5/2 and 8/3 (M 1975f)
\\
19: Earth's relief, shape and fractal dimension of
coastlines, and number-area rule for islands (M
1975w)\\
20: Midpoint displacement cartoon surfaces (M 1988p)
\\
VI: Self-Affine Cartoons in Grids; Their Multiple
Fractal Dimensions \\
21: Self-affinity and fractal dimension (M 1985l) \\
22: Diagonally self-affine fractal cartoons. Part 1:
Mass, box and gap dimensions, local or global (M 1986t)
\\
23: Diagonally self-affine fractal cartoons. Part 2:
Length and area ``anomalies'' (M 1986t) \\
24: Diagonally self-affine fractal cartoons. Part 3:
Anomalous Hausdorff dimension and multifractal
``localization'' (M 1986t) Foreword (2000) \\
VII: R/S Analysis and Its Uses \\
25: Robustness of R/S in measuring non-periodic global
dependence (M and Wallis 1969c) \\
26: Limit theorems on the self-normalized bridge range
(M 1975z) \\
27: Global dependence in geophysical and other records
(M and Wallis 1969b) \\
28: Secular pole motion and Chandler wobble (McCamy and
M 1970) \\
29: Clustering in a point process: intertoken
histograms and R/S pox diagrams (Damerau and M 1973)
\\
30: Global (long-term) dependence in economics and
finance (long foreword and excerpts from M 1969e, M
1971n, M 1972c) \\
31: Fractal aspects of computer memories (foreword and
the abstract of Voldman, M, Hoevel, Knight and
Rosenfeld 1983)",
}
@Misc{Mandelbrot:2002:MAW,
author = "Beno{\^\i}t Mandelbrot",
title = "A maverick's apprenticeship. {The Wolf Prizes for
Physics, Imperial College Press, 2002}",
howpublished = "Web document",
pages = "8",
year = "2002",
bibdate = "Mon Sep 10 11:15:33 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://users.math.yale.edu/~bbm3/web_pdfs/mavericksApprenticeship.pdf",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:2002:MSC,
author = "Beno{\^\i}t Mandelbrot",
title = "Mathematics and society in the 20th century",
crossref = "Frame:2002:FGM",
pages = "??--??",
year = "2002",
bibdate = "Tue Sep 11 09:13:19 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Mandelbrot:2002:SRE,
author = "Beno{\^\i}t Mandelbrot and Michael Frame",
title = "Some reasons for the effectiveness of fractals in
mathematics education",
crossref = "Frame:2002:FGM",
pages = "??--??",
year = "2002",
bibdate = "Tue Sep 11 09:13:19 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Asikainen:2003:FGC,
author = "J. Asikainen and A. Aharony and B. B. Mandelbrot and
E. Rausch and J.-P. Hovi",
title = "Fractal geometry of critical {Potts} clusters",
journal = j-EUR-PHYS-J-B,
volume = "34",
number = "4",
pages = "479--487",
month = "????",
year = "2003",
CODEN = "EPJBFY",
ISSN = "1434-6028 (print), 1434-6036 (electronic)",
ISSN-L = "1434-6028",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/x3m42hyyg2rt88qd/",
acknowledgement = ack-nhfb,
fjournal = "European Physical Journal B: Condensed Matter and
Complex Systems",
journal-URL = "http://link.springer.com/journal/10051",
}
@Article{Barral:2003:MMM,
author = "J. Barral and M.-O. Coppens and B. B. Mandelbrot",
title = "Multiperiodic multifractal martingale measures",
journal = j-J-MATH-PURES-APPL,
volume = "82",
number = "12",
pages = "1555--1589",
month = "????",
year = "2003",
CODEN = "JMPAAM",
DOI = "https://doi.org/10.1016/S0021-7824(03)00035-7",
ISSN = "0021-7824 (print), 1776-3371 (electronic)",
ISSN-L = "0021-7824",
MRclass = "60G57 (28A80 37H15 60G18 60G42 60G48)",
MRnumber = "2024576 (2004m:60107)",
MRreviewer = "Edward C. Waymire",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 1047.28003",
acknowledgement = ack-nhfb,
fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es",
journal-URL = "http://www.sciencedirect.com/science/journal/00217824",
}
@InCollection{Mandelbrot:2003:F,
author = "Beno{\^\i}t Mandelbrot and Michael Frame",
editor = "Robert A. Meyers",
booktitle = "Encyclopedia of Physical Science and Technology (Third
Edition)",
title = "Fractals",
publisher = pub-ELS,
address = pub-ELS:adr,
pages = "185--207",
year = "2003",
DOI = "https://doi.org/10.1016/B0-12-227410-5/00259-3",
ISBN = "0-12-227410-5",
ISBN-13 = "978-0-12-227410-7",
LCCN = "????",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/B0122274105002593",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:2003:FSP,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractal Sums of Pulses and a Practical Challenge to
the Distinction Between Local and Global Dependence",
journal = "Processes with Long-Range Correlations",
volume = "34",
number = "5--6",
pages = "118--135",
month = "????",
year = "2003",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/q5377044322486p7/",
acknowledgement = ack-nhfb,
xxvolume = "621",
}
@InCollection{Mandelbrot:2003:HTF,
author = "Beno{\^\i}t Mandelbrot",
title = "Heavy tails in finance for independent or multifractal
price increments",
crossref = "Rachev:2003:HHT",
pages = "1--34",
year = "2003",
DOI = "https://doi.org/10.1016/B978-044450896-6.50003-0",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/B9780444508966500030",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:2003:MMM,
author = "Beno{\^\i}t Mandelbrot",
title = "Multiperiodic multifractal martingale measures",
journal = j-J-MATH-PURES-APPL,
volume = "82",
number = "12",
pages = "1555--1589",
month = dec,
year = "2003",
CODEN = "JMPAAM",
DOI = "https://doi.org/10.1016/S0021-7824(03)00035-7",
ISSN = "0021-7824 (print), 1776-3371 (electronic)",
ISSN-L = "0021-7824",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021782403000357",
acknowledgement = ack-nhfb,
fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es",
journal-URL = "http://www.sciencedirect.com/science/journal/00217824",
}
@Article{Mandelbrot:2003:MPL,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Multifractal Power Law Distributions: Negative and
Critical Dimensions and Other `Anomalies,' Explained by
a Simple Example",
journal = j-J-STAT-PHYS,
volume = "110",
number = "3--6",
pages = "739--774",
month = mar,
year = "2003",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1023/A:1022159802564",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
MRclass = "28A80 (28A78 37A50 37A60 60D05)",
MRnumber = "1964688 (2004g:28008)",
MRreviewer = "Irene Hueter",
bibdate = "Sat Aug 30 12:24:42 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=110&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib",
note = "Special issue in honor of Michael E. Fisher's 70th
birthday (Piscataway, NJ, 2001).",
URL = "http://link.springer.com/article/10.1023/A%3A1022159802564;
http://www.springerlink.com/content/j20k474mu4063439/",
ZMnumber = "Zbl 1026.28007",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@InCollection{Barral:2004:IIP,
author = "Julien Barral and Beno{\^\i}t B. Mandelbrot",
booktitle = "Fractal geometry and applications: a jubilee of
{Beno{\^\i}t Mandelbrot}, {Part} 2",
title = "Introduction to infinite products of independent
random functions ({Random} multiplicative multifractal
measures. {I})",
volume = "72",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "3--16",
year = "2004",
MRclass = "28A80 (60G18 60G44 60G55 60G57)",
MRnumber = "2112119 (2005i:28013)",
MRreviewer = "Peter R. Massopust",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Proc. Sympos. Pure Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Barral:2004:NDM,
author = "Julien Barral and Beno{\^\i}t B. Mandelbrot",
title = "Non-degeneracy, moments, dimension, and multifractal
analysis for random multiplicative measures ({Random}
multiplicative multifractal measures. {II})",
crossref = "Lapidus:2004:FGAb",
volume = "72",
pages = "17--52",
year = "2004",
MRclass = "28A80 (60G18 60G44 60G55 60G57)",
MRnumber = "2112120 (2005i:28014)",
MRreviewer = "Peter R. Massopust",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Proc. Sympos. Pure Math.",
acknowledgement = ack-nhfb,
}
@InCollection{Barral:2004:PIM,
author = "J. Barral and Beno{\^\i}t B. Mandelbrot",
title = "{Part II}: Multifractals: Introduction to infinite
products of independent random functions (Random
multiplicative multifractal measures, part {I})",
crossref = "Lapidus:2004:FGAb",
pages = "??--??",
year = "2004",
bibdate = "Tue Sep 11 08:54:03 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Book{Mandelbrot:2004:FCM,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractals and chaos: the {Mandelbrot} set and beyond.
{Selecta} Volume {C}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 308",
year = "2004",
ISBN = "0-387-20158-0",
ISBN-13 = "978-0-387-20158-0",
LCCN = "QA614.86 .M23 2004",
MRclass = "01A75 (28A80 37D45 37F45 37F50)",
MRnumber = "2029233 (2005b:01054)",
MRreviewer = "M. Z{\"a}hle",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "With a foreword by P. W. Jones and texts co-authored
by C. J. G. Evertsz and M. C. Gutzwiller.",
series = "Selected Works of Beno{\^\i}t B. Mandelbrot",
acknowledgement = ack-nhfb,
tableofcontents = "Foreword / Peter W. Jones \\
I: Quadratic Julia and Mandelbrot Sets \\
Introduction to papers on quadratic dynamics: a
progression from seeing to discovering \\
Acknowledgments related to quadratic dynamics \\
Fractal aspects of the iteration of $\to \lambda z (1 -
z)$ for complex $\lambda$ and $z$ (M1980n) \\
Cantor and Fatou dusts ; self-squared dragons (M 1982F)
\\
The complex quadratic map and its M-set (M1983p) \\
Bifurcation points and the ``$n$ squared''
approximation and conjecture (M1985g), illustrated by
M. L. Frame and K. Mitchell \\
The ``normalized radical'' of the M-set (M1985g) \\
The boundary of the M-set is of dimension 2 (M1985g)
\\
Certain Julia sets include smooth components (M1985g)
\\
Domain-filling sequences of Julia sets, and intuitive
rationale for the Siegel discs (M1985g) \\
Continuous interpolation of the quadratic map and
intrinsic tiling of the interiors of Julia sets
(M1985n) \\
II: Nonquadratic Rational Dynamics \\
Introduction to chaos in nonquadratic dynamics:
rational functions devised from doubling formulas \\
The map $\to \lambda (z + 1 / z)$ and roughening of
chaos from linear to planar (computer-assisted homage
to K. Hokusai) (M1984k) \\
Two nonquadratic rational maps, devised from
Weierstrass doubling formulas (1979--2003) \\
III: Iterated Nonlinear Function Systems and the
Fractal Limit Sets of Kleinian Groups \\
Introduction to papers on Kleinian groups, their
fractal limit sets, the IFS: history, recollections,
and acknowledgments (2003) \\
Self-inverse fractals, Apollonian nets, and soap (M
1982F) \\
Symmetry by dilation or reduction, fractals, roughness
(M2002w) \\
Self-inverse fractals osculated by sigma-discs and
limit sets of inversion (``Kleinian'') groups (M1983m)
\\
IV: Multifractal Invariant Measures \\
Introduction to measures that vanish exponentially
almost everywhere: DLA and Minkowski-invariant
multifractal measures in chaotic Hamiltonian systems
and related structures (Gutzwiller and M 1988) \\
The Minkowski measure and multifractal anomalies in
invariant measures of parabolic dynamic systems
(M1993s) \\
Harmonic measure on DLA and extended self-similarity (M
and Evertsz 1991) \\
V: Background and History \\
The inexhaustible function $z$ squared plus $c$
(1982--2003) \\
The Fatou and Julia stories \\
Mathematical analysis while in the wilderness (2003)",
}
@Book{Mandelbrot:2004:MBM,
author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson",
title = "The (mis)behavior of markets: a fractal view of risk,
ruin, and reward",
publisher = pub-BASIC-BOOKS,
address = pub-BASIC-BOOKS:adr,
pages = "xxiv + 328",
year = "2004",
ISBN = "0-465-04355-0, 0-465-04357-7 (paperback)",
ISBN-13 = "978-0-465-04355-2, 978-0-465-04357-6 (paperback)",
LCCN = "HG4523 .M257 2004",
MRclass = "91-01 (28-01 28A80 91B28 91B30)",
MRnumber = "2100767 (2005g:91004)",
bibdate = "Sat Sep 8 15:31:04 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
note = "A fractal view of risk, ruin, and reward",
URL = "http://www.loc.gov/catdir/enhancements/fy0830/2004011400-b.html;
http://www.loc.gov/catdir/enhancements/fy0830/2004011400-d.html",
acknowledgement = ack-nhfb,
subject = "Capital market; Investment analysis; Stocks; Prices;
Securities; Risk management",
tableofcontents = "I: Risk, ruin, and reward \\
II: By the toss of a coin or the flight of an arrow?
\\
III: Bachelier and his legacy \\
IV: The house of modern finance \\
V: The case against the modern theory of finance \\
VI: Turbulent markets: a preview \\
VII: Studies in roughness: a fractal primer \\
VIII: The mystery of cotton \\
IX: Long memory, from the Nile to the marketplace \\
X: Noah, Joseph and market bubbles \\
XI: The multifractal nature of trading time \\
XII: Ten heresies of finance \\
XIII: In the lab",
}
@Book{Mandelbrot:2004:MMF,
author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson",
title = "The misbehaviour of markets: a fractal view of risk,
ruin and reward",
publisher = "Profile",
address = "London, UK",
pages = "xxiv + 328",
year = "2004",
ISBN = "1-86197-765-4 (hardcover)",
ISBN-13 = "978-1-86197-765-6 (hardcover)",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:07 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
library.ox.ac.uk:210/ADVANCE",
price = "\pounds 18.99",
acknowledgement = ack-nhfb,
subject = "Capital market; Investment analysis; Stocks; Prices;
Securities; Risk management",
}
@InProceedings{Mandelbrot:2004:STM,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Selected topics in mathematics, physics, and finance
originating in fractal geometry",
crossref = "Novak:2004:TPF",
pages = "1--33",
year = "2004",
MRclass = "00-02 (28A80 82B99 82C99 91B28)",
MRnumber = "2170377 (2006f:00001)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Grunwald:2005:BRB,
author = "Eric Grunwald",
title = "Book Review: {Beno{\^\i}t Mandelbrot and Richard L.
Hudson, \booktitle{The (mis)behaviour of markets}}",
journal = j-MATH-INTEL,
volume = "27",
number = "3",
pages = "77--79",
month = sep,
year = "2005",
CODEN = "MAINDC",
DOI = "https://doi.org/10.1007/BF02985848",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/32551765mu871utp/",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Book{Mandelbrot:2005:AFM,
author = "Beno{\^\i}t B. Mandelbrot and Richard. L. Hudson",
title = "Une approche fractale des march{\'e}s: risquer, perdre
et gagner. ({French}) [{A} fractal approach to markets:
risk, ruin, and reward]",
publisher = "O. Jacob",
address = "Paris, France",
pages = "361",
year = "2005",
ISBN = "2-7381-1536-5 (paperback)",
ISBN-13 = "978-2-7381-1536-2 (paperback)",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Translated by Marcel Filoche from the American edition
\cite{Mandelbrot:2004:MBM}.",
acknowledgement = ack-nhfb,
language = "French",
}
@Book{Mandelbrot:2005:FFM,
author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson",
title = "{Fraktale und Finanzen. M{\"a}rkte zwischen Risiko,
Rendite und Ruin}. ({German}) [{Fractals} and finance.
{Markets} between risk, reward and ruin]",
publisher = "Piper",
address = "M{\"u}nchen, Germany",
year = "2005",
ISBN = "3-492-04632-0",
ISBN-13 = "978-3-492-04632-9",
LCCN = "????",
bibdate = "Sat Sep 8 12:12:43 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Translation by Helmut Reuter of
\cite{Mandelbrot:2004:MBM}.",
ZMnumber = "Zbl 1141.91018",
acknowledgement = ack-nhfb,
classmath = "{91B28 (Finance etc.) 91-01 (Instructional exposition
(Social and behavioral sciences)) 28-01 (Textbooks
(measure and integration)) 28A80 (Fractals) }",
language = "German",
remark = "See the review of the English edition (2004) in Zbl
1140.91004.",
}
@Article{Mandelbrot:2005:INF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "The inescapable need for fractal tools in finance",
journal = j-ANN-FINANCE,
volume = "1",
number = "2",
pages = "193--195",
month = "????",
year = "2005",
DOI = "https://doi.org/10.1007/s10436-004-0008-1",
ISSN = "1614-2446 (print), 1614-2454 (electronic)",
ISSN-L = "1614-2446",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/7ghf995yeq7k5mtq/",
ZMnumber = "Zbl 1233.91345",
abstract = "This short paper advances and defends a strong
statement concerning financial modeling. It argues
that, even when the present fractal models become
superseded, fractal tools are bound to remain central
to finance. The reasons are that the main feature of
price records is roughness and that the proper language
of the theory of roughness in nature and culture is
fractal geometry.",
acknowledgement = ack-nhfb,
ajournal = "Ann. Finance",
classmath = "91G99 (Mathematical finance)",
fjournal = "Annals of Finance",
journal-URL = "http://link.springer.com/journal/10436",
keywords = "financial prices; fractal; multifractal; roughness",
}
@Book{Mandelbrot:2005:MBM,
author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson",
title = "The (mis)behaviour of markets: a fractal view of risk,
ruin, and reward",
publisher = "Profile Books",
address = "London, UK",
pages = "xxiv + 328",
year = "2005",
ISBN = "1-86197-790-5",
ISBN-13 = "978-1-86197-790-8",
LCCN = "HG4523",
bibdate = "Sat Sep 8 15:34:59 MDT 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
}
@Article{Mandelbrot:2005:PCF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Parallel cartoons of fractal models of finance",
journal = j-ANN-FINANCE,
volume = "1",
number = "2",
pages = "179--192",
month = "????",
year = "2005",
CODEN = "????",
DOI = "https://doi.org/10.1007/s10436-004-0007-2",
ISSN = "????",
ISSN-L = "1614-2446",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/j5fcgq4kmntgtkum/",
ZMnumber = "Zbl 1233.91344",
acknowledgement = ack-nhfb,
ajournal = "Ann. Finance",
classmath = "91G99 (Mathematical finance)",
fjournal = "Annals of Finance",
journal-URL = "http://link.springer.com/journal/10436",
keywords = "cartoons; financial prices; fractal; multifractal;
roughness",
}
@Article{Mandelbrot:2006:BM,
author = "Beno{\^\i}t Mandelbrot",
title = "{Beno{\^\i}t Mandelbrot}",
journal = j-NEW-SCIENTIST,
volume = "192",
number = "2578",
pages = "72--72",
day = "18",
month = nov,
year = "2006",
CODEN = "NWSCAL",
DOI = "https://doi.org/10.1016/S0262-4079(06)61145-7",
ISSN = "0262-4079 (print), 1364-8500 (electronic)",
ISSN-L = "0262-4079",
bibdate = "Sat Sep 8 16:48:41 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0262407906611457",
acknowledgement = ack-nhfb,
fjournal = "New Scientist",
journal-URL = "http://www.sciencedirect.com/science/journal/02624079",
}
@InProceedings{Mandelbrot:2006:FASa,
author = "Beno{\^\i}t Mandelbrot",
title = "Fractal analysis and synthesis of fracture surface
roughness and related forms of complexity and
disorder",
crossref = "Carpinteri:2006:IHP",
pages = "13--17",
year = "2006",
DOI = "https://doi.org/10.1007/978-1-4020-5423-5_3",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/up4521397545ruw7/",
acknowledgement = ack-nhfb,
}
@Article{Mandelbrot:2006:FASb,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractal Analysis and Synthesis of Fracture Surface
Roughness and Related Forms of Complexity and
Disorder",
journal = j-INT-J-FRACTURE,
volume = "138",
number = "1--4",
pages = "13--17",
month = "????",
year = "2006",
CODEN = "IJFRAP",
ISSN = "0376-9429 (print), 1573-2673 (electronic)",
ISSN-L = "0376-9429",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/p017550250307256/",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Fracture",
journal-URL = "http://link.springer.com/journal/10704",
}
@Article{Mandelbrot:2007:SSS,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Scalebound or Scaling Shapes: a Useful Distinction in
the Visual Arts and in the Natural Sciences",
journal = j-LEONARDO,
volume = "40",
number = "5",
pages = "494--496",
month = "????",
year = "2007",
CODEN = "LEONDP",
ISSN = "0024-094X (print), 1530-9282 (electronic)",
ISSN-L = "0024-094X",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Leonardo (Oxford, England)",
journal-URL = "http://www.jstor.org/journal/leonardo",
}
@Book{Mandelbrot:2008:FFM,
author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson",
title = "{Fraktale und Finanzen: M{\"a}rkte zwischen Risiko,
Rendite und Ruin}. ({German}) [{Fractals} and finance.
{Markets} between risk, reward and ruin]",
volume = "4861",
publisher = "Piper",
address = "M{\"u}nchen, Germany",
edition = "Second",
pages = "445",
year = "2008",
ISBN = "3-492-24861-6",
ISBN-13 = "978-3-492-24861-7",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:25 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
price = "EUR 12.95 (DE)",
series = "Serie Piper",
URL = "http://www.gbv.de/dms/zbw/511599846.pdf",
acknowledgement = ack-nhfb,
language = "German",
}
@Book{Mandelbrot:2008:FVD,
author = "Beno{\^\i}t Mandelbrot",
title = "{Fraktale: die verborgene Dimension}. ({German})
[{Fractals}: the hidden dimension]",
publisher = "Komplett-Media",
address = "Gr{\"u}nwald, Germany",
year = "2008",
ISBN = "3-8312-9945-5",
ISBN-13 = "978-3-8312-9945-4",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:25 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
note = "1 video DVD (54 min.). Produced by Michael Schwarz.",
acknowledgement = ack-nhfb,
language = "German",
}
@Book{Mandelbrot:2008:MBM,
author = "Beno{\^\i}t B. Mandelbrot and Richard L. Hudson",
title = "The (Mis)Behaviour of Markets: a Fractal View of Risk,
Ruin and Reward",
publisher = "Profile",
address = "London, UK",
pages = "353",
year = "2008",
ISBN = "1-84668-262-2, 1-84765-155-0",
ISBN-13 = "978-1-84668-262-9, 978-1-84765-155-6",
LCCN = "HG4523 .M257 2008",
bibdate = "Sat Sep 8 15:45:25 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
URL = "http://www.gbv.eblib.com/patron/FullRecord.aspx?p=584650;
http://www.loc.gov/catdir/toc/fy0905/2009437381.html",
abstract = "This international bestseller, which foreshadowed a
market crash, explains why it could happen again if we
don't act now. Fractal geometry is the mathematics of
roughness: how to reduce the outline of a jagged leaf
or static in a computer connection to a few simple
mathematical properties. With his fractal tools,
Mandelbrot has got to the bottom of how financial
markets really work. He finds they have a shifting
sense of time and wild behaviour that makes them
volatile, dangerous --- and beautiful. In his models,
the complex gyrations of the FTSE 100 and exchange
rates can be reduced to straight.",
acknowledgement = ack-nhfb,
remark = "Description based upon print version of record.",
subject = "Capital market; Investment analysis; Stocks; Prices;
Securities; Risk management",
tableofcontents = "Contents \\
Abstract \\
Acknowledgments \\
Preface \\
Prelude: Introducing a Maverick in Science \\
Part I. The Old Way \\
Part II. The New Way \\
Part III. The Way Ahead \\
Notes \\
Bibliography \\
Index",
}
@Article{Barral:2009:FMP,
author = "Julien Barral and Beno{\^\i}t Mandelbrot",
title = "Fractional multiplicative processes",
journal = j-ANN-INST-HENRI-POINCARE-PROBAB-STATIST,
volume = "45",
number = "4",
pages = "1116--1129",
month = "????",
year = "2009",
CODEN = "AHPBAR",
DOI = "https://doi.org/10.1214/08-AIHP198",
ISSN = "0246-0203 (print), 1778-7017 (electronic)",
ISSN-L = "0246-0203",
MRclass = "60G18 (28A78 60F05 60F15 60F17 60G42)",
MRnumber = "2572167 (2011b:60142)",
MRreviewer = "Ren{\'e} L. Schilling",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 1201.60035",
acknowledgement = ack-nhfb,
ajournal = "Ann. Inst. Henri Poincar{\'e} Probab. Stat.",
fjournal = "Annales de l'Institut Henri Poincar{\'e}
Probabilit{\'e}s et Statistiques",
journal-URL = "http://projecteuclid.org/all/euclid.aihp;
http://www.sciencedirect.com/science/journal/02460203/",
}
@Book{Mandelbrot:2009:AFM,
author = "Beno{\^\i}t B. Mandelbrot and Richard. L. Hudson",
title = "Une approche fractale des march{\'e}s: risquer, perdre
et gagner. ({French}) [{A} fractal approach to markets:
risk, ruin, and reward]",
publisher = "O. Jacob",
address = "Paris, France",
edition = "New",
pages = "v + 361",
year = "2009",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Translated by Marcel Filoche from the American edition
\cite{Mandelbrot:2004:MBM}.",
acknowledgement = ack-nhfb,
language = "French",
}
@Book{Mandelbrot:2009:FHF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Fractales, hasard et finance: 1959--1997. ({French})
[Fractals, chance, and finance: 1959--1997]",
publisher = "Flammarion",
address = "Paris, France",
pages = "246",
year = "2009",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Book{Mandelbrot:2009:FMG,
author = "Beno{\^\i}t B. Mandelbrot",
title = "The fractalist: memoir of a geometer",
publisher = pub-PANTHEON,
address = pub-PANTHEON:adr,
pages = "xviii + 327",
year = "2009",
ISBN = "0-307-37735-0",
ISBN-13 = "978-0-307-37735-7",
LCCN = "QA29.M34 A3 2009",
bibdate = "Sat Sep 8 15:40:11 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
note = "With an afterword by Michael Frame.",
acknowledgement = ack-nhfb,
subject = "Mandelbrot, Beno{\^\i}t B; Mathematicians; France;
Biography; United States; Fractals",
tableofcontents = "Chance, then free choice, shape a living, fast
evolving, and ceaselessly wandering fossil \\
Unrelated deeds or a unified fractal approach to
roughness? \\
Could the Mandelbrot set really be the most complex
object in the whole of mathematics? \\
Roots, of flesh and the mind \\
Child in Warsaw (1924--36) \\
Long summer in today's Belarus \\
Adolescent in Paris (1936--9) \\
Muddling through ``Vichy,'' ``unoccupied'' France, in
dirt-poor and forsaken hills (1939--43) \\
In Lyon : tightening occupation and self-discovery
(1943--4) \\
Paris : exam hell, agony of choice, \'Ecole normale
(1944--5) \\
Paris : a (rare) foreign student at \'Ecole
polytechnique (1945--7) \\
Pasadena : student at Caltech during a Golden Age
(1947--9) \\
French air force engineers : reserve officer training
(1949--50) \\
Growing addiction to classical music, voice, and opera
\\
Paris : ``doctorand'' and employee of Philips
Electronics (1950--2) \\
Modest first Kepler moment : mastering the unevenness
of word frequencies (1951) \\
No longer a promising youth, yet still seeking role
models far away : Wiener, Von Neumann, Kac, Feller \\
Apprentice on a grand tour through varied cities and
guilds : Cambridge, MA, Princeton, Geneva \\
After a year as a French academic, an underachieving
and restless maverick pulls roots (1957--58)-- Rise to
the rank of IBM fellow at IBM research, during its
brilliant golden age in science (1958--93) \\
Itinerant teacher : of economics then engineering at
Harvard and later of mathematics at Harvard then Yale
\\
A firebrand newcomer to economics teaches controversial
finance at Harvard (1962--3) \\
Based at IBM, but ceaselessly moving, back and forth,
drawn from one place, mystery, or field to another
(1964--79) \\
Writing the fractal geometry of nature and pondering my
future and that of fractal geometry as a discipline \\
At Yale, rising --- aged seventy-five --- to tenure at
this university's highest rank, Sterling Professorship
(1987--2004)",
}
@Article{Mandelbrot:2009:NMS,
author = "Beno{\^\i}t B. Mandelbrot",
title = "{``New Methods of Statistical Economics,''} revisited:
Short versus long tails and {Gaussian} versus power-law
distributions",
journal = j-COMPLEXITY,
volume = "14",
number = "3",
pages = "55--65",
month = jan,
year = "2009",
CODEN = "COMPFS",
DOI = "https://doi.org/10.1002/cplx.20264",
ISSN = "????",
ISSN-L = "1076-2787",
bibdate = "Sat Sep 8 19:03:53 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Complexity",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-0526",
onlinedate = "25 Nov 2008",
}
@Article{Mandelbrot:2009:PNT,
author = "Beno{\^\i}t B. Mandelbrot and Michael Frame",
title = "A primer of negative test dimensions and degrees of
emptiness for latent sets",
journal = j-FRACTALS,
volume = "17",
number = "1",
pages = "1--14",
month = "????",
year = "2009",
CODEN = "FRACEG",
DOI = "https://doi.org/10.1142/S0218348X09004211",
ISSN = "0218-348X",
MRclass = "28A80 (60G18)",
MRnumber = "2498744 (2010i:28014)",
MRreviewer = "Raby Guerbaz",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 1168.28005",
acknowledgement = ack-nhfb,
fjournal = "Fractals. Complex Geometry, Patterns, and Scaling in
Nature and Society",
journal-URL = "http://www.worldscientific.com/loi/fractals",
}
@Article{Barral:2010:CCM,
author = "Julien Barral and Xiong Jin and Beno{\^\i}t
Mandelbrot",
title = "Convergence of complex multiplicative cascades",
journal = j-ANN-APPL-PROBAB,
volume = "20",
number = "4",
pages = "1219--1252",
month = "????",
year = "2010",
CODEN = "????",
DOI = "https://doi.org/10.1214/09-AAP665",
ISSN = "1050-5164",
MRclass = "60F05 (28A78 60F15 60F17 60G18 60G42)",
MRnumber = "2676938 (2011d:60069)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 1221.60028",
acknowledgement = ack-nhfb,
fjournal = "The Annals of Applied Probability",
journal-URL = "http://projecteuclid.org/all/euclid.aoap/;
http://www.jstor.org/journals/10505164.html",
}
@Article{Barral:2010:UCC,
author = "Julien Barral and Xiong Jin and Beno{\^\i}t
Mandelbrot",
title = "Uniform convergence for complex $ [0, 1]
$-martingales",
journal = j-ANN-APPL-PROBAB,
volume = "20",
number = "4",
pages = "1205--1218",
month = "????",
year = "2010",
CODEN = "????",
DOI = "https://doi.org/10.1214/09-AAP664",
ISSN = "1050-5164",
MRclass = "60G18 (28A78 60F15 60G22 60G42 60G44)",
MRnumber = "2676937 (2011h:60084)",
MRreviewer = "Sreenivasan Ravi",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 1208.60035",
acknowledgement = ack-nhfb,
fjournal = "The Annals of Applied Probability",
journal-URL = "http://projecteuclid.org/all/euclid.aoap/;
http://www.jstor.org/journals/10505164.html",
}
@InCollection{Mandelbrot:2010:FFF,
author = "Beno{\^\i}t Mandelbrot",
title = "Fractal Financial Fluctuations",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "7",
pages = "120--134",
month = "????",
year = "2010",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/h8w32018354n747q/",
acknowledgement = ack-nhfb,
xxnumber = "5--6",
xxvolume = "34",
xxvolume = "621",
}
@InCollection{Mandelbrot:2010:GAI,
author = "Beno{\^\i}t Mandelbrot",
title = "A Geometry Able to Include Mountains and Clouds",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "3",
pages = "38--57",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/h535l123uh2t6643/",
acknowledgement = ack-nhfb,
xxnumber = "3",
xxvolume = "33",
}
@InCollection{Mandelbrot:2010:MVW,
author = "Beno{\^\i}t B. Mandelbrot and Nassim Nicholas Taleb",
title = "Mild vs. wild randomness: focusing on those risks that
matter",
crossref = "Diebold:2010:KUU",
pages = "47--58",
year = "2010",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:25 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
acknowledgement = ack-nhfb,
}
@Book{Mandelbrot:2010:OFF,
author = "Beno{\^\i}t B. Mandelbrot",
title = "Les objets fractals: Forme, hasard et dimension.
({French}) [Fractal objects: form, chance, and
dimension]",
publisher = "Flammarion",
address = "Paris, France",
pages = "212",
year = "2010",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
language = "French",
}
@Misc{Mandelbrot:2012:BMP,
author = "Beno{\^\i}t B. Mandelbrot",
title = "{Beno{\^\i}t Mandelbrot} papers, 1932--2010",
year = "2012",
LCCN = "M1857",
bibdate = "Sat Sep 8 15:40:34 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
jenson.stanford.edu:2210/unicorn",
note = "Circa 380 linear feet.",
abstract = "Notes, writings, correspondence, records, research
reports and documentation, photographs, slides,
calendars, audiovisual media, computer files, and
publications relating to Mandelbrot's education and
professional career and work in several organizations,
principally at the Thomas J. Watson Research Center in
the International Business Machines Corporation (IBM)
and at Yale University.",
acknowledgement = ack-nhfb,
remark = "The collection is closed until processed. Gift of
Aliette Mandelbrot, 2011 and 2012.",
subject = "Mandelbrot, Beno{\^\i}t B",
}
@Article{Ashish:2014:JSM,
author = "Ashish and Mamta Rani and Renu Chugh",
title = "{Julia} sets and {Mandelbrot} sets in {Noor} orbit",
journal = j-APPL-MATH-COMP,
volume = "228",
number = "??",
pages = "615--631",
day = "1",
month = feb,
year = "2014",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Jan 27 18:25:41 MST 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313012460",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Fatou:1917:SRb,
author = "Pierre Fatou",
title = "Sur les substitutions rationnelles. ({French}) [{On}
rational substitutions]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "165",
number = "??",
pages = "992--995",
month = "????",
year = "1917",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 08:34:27 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Fatou:1917:SRFa,
author = "Pierre Fatou",
title = "Sur les substitutions rationnelles. ({French}) [{On}
rational substitutions]",
journal = j-C-R-ACAD-SCI-PARIS,
volume = "164",
number = "??",
pages = "806--808",
month = "????",
year = "1917",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 08:34:27 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes rendus de l'Acad{\'e}mie des sciences, Paris",
language = "French",
}
@Article{Julia:1918:MIF,
author = "Gaston Julia",
title = "{M{\'e}moire} sur l'iteration des fonctions
rationnelles. ({French}) [{Memoir} on the iteration of
rational functions]",
journal = j-J-MATH-PURES-APPL,
volume = "8",
number = "??",
pages = "47--245",
month = "????",
year = "1918",
CODEN = "JMPAAM",
ISSN = "0021-7824 (print), 1776-3371 (electronic)",
ISSN-L = "0021-7824",
bibdate = "Mon Sep 10 08:36:52 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es",
journal-URL = "http://www.sciencedirect.com/science/journal/00217824",
language = "French",
}
@Article{Cohen:1953:RBF,
author = "Marcel Cohen and Andr{\'e}-G. Haudricourt and Maxime
Rodinson",
title = "Review: {{\booktitle{Structure formelle des textes et
Communication, dans word, vol 10}} by Beno{\^\i}t
Mandelbrot; L'ing{\'e}nieur en tant que strat{\'e}ge:
the{\'e}ories du comportement. Une d{\'e}finition de la
cybern{\'e}tique; applications linguistiques. Extraits
de la Revue g{\'e}n{\'e}rale des Sciences, t. LXII, nos
9--10, 1955 by Beno{\^\i}t Mandelbrot}",
journal = "L'Ann{\'e}e sociologique (1940/1948-), Troisi{\`e}me
S{\'e}rie",
volume = "7",
number = "??",
pages = "501--502",
month = "????",
year = "1953--1954",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27885319",
acknowledgement = ack-nhfb,
}
@Article{Simon:1955:CSD,
author = "Herbert A. Simon",
title = "On a Class of Skew Distribution Functions",
journal = j-BIOMETRIKA,
volume = "42",
number = "3--4",
pages = "425--440",
month = dec,
year = "1955",
CODEN = "BIOKAX",
DOI = "https://doi.org/10.2307/2333389",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
ISSN-L = "0006-3444",
MRclass = "62.0X",
MRnumber = "0073085 (17,380e)",
MRreviewer = "H. A. David",
bibdate = "Sat Jun 21 14:32:48 MDT 2014",
bibsource = "http://www.jstor.org/journals/00063444.html;
http://www.jstor.org/stable/i315425;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/biometrika1950.bib",
URL = "http://www.jstor.org/stable/2333389",
acknowledgement = ack-nhfb,
fjournal = "Biometrika",
journal-URL = "http://biomet.oxfordjournals.org/content/by/year;
http://www.jstor.org/journals/00063444.html",
keywords = "distribution of income; distribution of species among
genera; distributions of city populations;
distributions of document word frequencies;
distributions of scientific publication counts; Zipf's
Law",
remark = "This work is an extension of Yule's work
\cite{Yule:1925:MTE}. See discussion
\cite{Mandelbrot:1959:NCS} and comments
\cite{Mitzenmacher:2003:BHG}.",
}
@Article{Cohen:1957:RBL,
author = "Marcel Cohen and David Cohen",
title = "Review: {{\booktitle{Logique, langage et th{\'e}orie
de l'information}}, by L. Apostel, B. Mandelbrot, A.
Morf}",
journal = "L'Ann{\'e}e sociologique (1940/1948-), Troisi{\`e}me
S{\'e}rie",
volume = "9",
number = "??",
pages = "508--509",
month = "????",
year = "1957--1958",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27885595",
acknowledgement = ack-nhfb,
}
@Article{Devooght:1957:LZM,
author = "J. Devooght",
title = "Sur la loi de {Zipf--Mandelbrot}. ({French}) [On the
{Zipf--Mandelbrot} law]",
journal = "Acad. Roy. Belg. Bull. Cl. Sci. (5)",
volume = "43",
number = "??",
pages = "244--251",
month = "????",
year = "1957",
CODEN = "????",
ISSN = "0001-4141",
MRclass = "94.0X",
MRnumber = "0088412 (19,516a)",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Acad{\'e}mie Royale de Belgique. Bulletin de la Classe
des Sciences. Koninklijke Belgische Academie.
Mededelingen van de Klasse der Wetenschappen. 5e
S{\'e}rie",
language = "French",
}
@Article{Miller:1957:SEI,
author = "George A. Miller",
title = "Some Effects of Intermittent Silence",
journal = j-AMER-J-PSYCHOLOGY,
volume = "70",
number = "2",
pages = "311--314",
month = jun,
year = "1957",
CODEN = "AJPCAA",
ISSN = "0002-9556 (print), 1939-8298 (electronic)",
ISSN-L = "0002-9556",
bibdate = "Thu Feb 28 08:57:12 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1419346",
acknowledgement = ack-nhfb,
fjournal = "The American Journal of Psychology",
keywords = "Mandelbrot; Zip's rule (law)",
remark = "This paper, and another \cite{Miller:1963:FML}, are
early applications of Mandelbrot's derivations of
inverse power laws in information theory.",
}
@Book{Jonckheere:1958:LE,
author = "A. Jonckheere and B. Mandelbrot et J. Piaget",
title = "La lecture de l'exp{\'e}rience. ({French}) [{Reading}
of experience]",
volume = "5",
publisher = "Presses universitaires de France",
address = "Paris, France",
pages = "150",
year = "1958",
LCCN = "BF311",
bibdate = "Sat Sep 8 15:45:07 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
library.ox.ac.uk:210/ADVANCE",
series = "Etudes d'{\'e}pist{\'e}mologie g{\'e}n{\'e}tique;
Biblioth{\`e}que scientifique internationale",
acknowledgement = ack-nhfb,
language = "French",
subject = "Perception",
}
@Article{Colnort-Bodet:1959:RBL,
author = "Suzanne Colnort-Bodet",
title = "Review: {{\booktitle{La lecture de l'exp{\'e}rience}},
$ \ll $Bibl. sc. intern.$ \gg $, {\'E}tudes
d'{\'E}pist{\'e}mologie g{\'e}n{\'e}tique by (A.)
Jonckheere, (B.) Mandelbrot, (J.) Piaget}",
journal = "Les {\'E}tudes philosophiques",
volume = "??",
number = "1",
pages = "85",
month = jan,
year = "1959",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/20842901",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Lees:1959:RBL,
author = "R. B. Lees",
title = "Review: {{\booktitle{Logique, langage et th{\'e}orie
de l'information}} by L{\'e}o Apostel, Beno{\^\i}t
Mandelbrot, Albert Morf}",
journal = j-LANGUAGE,
volume = "35",
number = "2",
pages = "271--303",
month = jun,
year = "1959",
CODEN = "????",
ISSN = "0097-8507",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/410536",
acknowledgement = ack-nhfb,
fjournal = "Language: journal of the Linguistic Society of
America",
}
@Article{Simon:1960:SFN,
author = "Herbert A. Simon",
title = "Some further notes on a class of skew distribution
functions",
journal = j-INF-CONTROL,
volume = "3",
number = "1",
pages = "80--88",
month = mar,
year = "1960",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(60)90302-8",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Thu Feb 28 08:28:44 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995860903028",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
remark-1 = "This paper is one of a three-year debate between
Beno{\^\i}t Mandelbrot \cite
{Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF}
and Herbert Simon \cite
{Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.",
remark-2 = "The abstract begins: ``This note takes issue with a
recent criticism by Dr. B. Mandelbrot of a certain
stochastic model to explain word-frequency data. Dr.
Mandelbrot's principal empirical and mathematical
objections to the model are shown to be unfounded.''",
}
@Article{Simon:1961:RDM,
author = "Herbert A. Simon",
title = "Reply to {Dr. Mandelbrot}'s post scriptum",
journal = j-INF-CONTROL,
volume = "4",
number = "2--3",
pages = "305--308",
month = sep,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80026-0",
ISSN = "0019-9958 (print), 1878-2981 (electronic)",
ISSN-L = "0019-9958",
bibdate = "Thu Feb 28 08:26:47 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800260",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
remark = "This paper is one of a three-year debate between
Beno{\^\i}t Mandelbrot \cite
{Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF}
and Herbert Simon \cite
{Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.",
}
@Article{Simon:1961:RFN,
author = "Herbert A. Simon",
title = "Reply to {``Final note''} by {Beno{\^\i}t
Mandelbrot}",
journal = j-INF-CONTROL,
volume = "4",
number = "2--3",
pages = "217--223",
month = sep,
year = "1961",
CODEN = "IFCNA4",
DOI = "https://doi.org/10.1016/S0019-9958(61)80009-0",
ISSN = "0890-5401 (print), 1090-2651 (electronic)",
ISSN-L = "0019-9958",
MRclass = "62.00",
MRnumber = "0135193 (24 \#B1243)",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0019995861800090",
acknowledgement = ack-nhfb,
fjournal = "Information and Control",
journal-URL = "http://www.sciencedirect.com/science/journal/00199958",
remark = "This paper is one of a three-year debate between
Beno{\^\i}t Mandelbrot \cite
{Mandelbrot:1959:NCS,Mandelbrot:1960:BRB,Mandelbrot:1961:FNC,Mandelbrot:1961:PSF}
and Herbert Simon \cite
{Simon:1960:SFN,Simon:1961:RDM,Simon:1961:RFN}.",
}
@Article{Berger:1963:NME,
author = "J. M. Berger and Beno{\^\i}t Mandelbrot",
title = "A New Model for Error Clustering in Telephone
Circuits",
journal = j-IBM-JRD,
volume = "7",
number = "3",
pages = "224--236",
month = "????",
year = "1963",
CODEN = "IBMJAE",
DOI = "https://doi.org/10.1147/rd.73.0224",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Tue Sep 11 14:40:03 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5392305",
acknowledgement = ack-nhfb,
book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
xxtitle = "A new model for the clustering of errors on telephone
circuits",
}
@Article{Fama:1963:MSP,
author = "Eugene F. Fama",
title = "{Mandelbrot} and the Stable {Paretian} Hypothesis",
journal = j-J-BUS-UNIV-CHIC,
volume = "36",
number = "4",
pages = "420--429",
month = oct,
year = "1963",
CODEN = "????",
ISSN = "0021-9398 (print), 1537-5374 (electronic)",
ISSN-L = "0021-9398",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2350971",
acknowledgement = ack-nhfb,
fjournal = "The Journal of Business at the {University of
Chicago}",
}
@InCollection{Miller:1963:FML,
author = "George A. Miller and Noam Chomsky",
title = "Finitary Models of Language Users",
crossref = "Luce:1963:HMP",
pages = "419--491",
year = "1963",
bibdate = "Thu Feb 28 09:09:58 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
remark = "This paper, and another \cite {Miller:1957:SEI}, are
early applications of Mandelbrot's derivations of
inverse power laws in information theory.",
}
@Article{Fairthorne:1969:PDE,
author = "Robert A. Fairthorne",
title = "Progress in Documentation: Empirical Hyperbolic
Distributions ({Bradford--Zipf--Mandelbrot}) for
Bibliometric Description and Prediction",
journal = j-J-DOC,
volume = "25",
number = "4",
pages = "313--343",
month = dec,
year = "1969",
CODEN = "JDOCAS",
DOI = "https://doi.org/10.1108/eb026481",
ISSN = "0022-0418 (print), 1758-7379 (electronic)",
ISSN-L = "0022-0418",
bibdate = "Fri Nov 25 06:27:27 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
note = "Reprinted in \cite{Fairthorne:2005:PDE}.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Documentation",
journal-URL = "http://www.emeraldinsight.com/loi/jd",
remark = "According to \cite{Potter:1981:LLR}, this paper is the
first to link the distributions of Bradford, Zipf,
Mandelbrot, and Lotka.",
}
@Article{Orlov:1970:GZM,
author = "Ju. K. Orlov",
title = "A generalization of the {Zipf--Mandelbrot} law",
journal = "Sakharth. SSR Mech. Akad. Moambe",
volume = "57",
number = "??",
pages = "37--40",
month = "????",
year = "1970",
CODEN = "????",
ISSN = "????",
MRclass = "94.50",
MRnumber = "0274234 (42 \#9109)",
MRreviewer = "T. Nemetz",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
}
@Article{Barnsley:1971:SRF,
author = "Michael Barnsley",
title = "Sum Rule Functions",
journal = j-J-MATH-PHYS,
volume = "12",
number = "6",
pages = "957--964",
month = jun,
year = "1971",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1665688",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:39:38 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v12/i6/p957_s1",
acknowledgement = ack-nhfb,
classification = "A0365 (Quantum theory; A1150L (Sum rules); quantum
mechanics)",
corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "bounds; quantum mechanical sum rule; quantum theory
applications; sum rule function; sum rules",
onlinedate = "28 October 2003",
pagecount = "8",
treatment = "T Theoretical or Mathematical",
}
@Article{Barnsley:1973:BPM,
author = "Michael Barnsley",
title = "The bounding properties of the multipoint {Pad{\'e}}
approximant to a series of {Stieltjes} on the real
line",
journal = j-J-MATH-PHYS,
volume = "14",
number = "3",
pages = "299--313",
month = mar,
year = "1973",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1666314",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:39:58 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v14/i3/p299_s1",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis)",
corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "bounding properties; complementary approximants;
function approximation; multipoint Pad{\'e}
approximant; real line; series (mathematics); series of
Stieltjes",
onlinedate = "3 November 2003",
pagecount = "15",
treatment = "T Theoretical or Mathematical",
}
@Article{Epstein:1973:VAT,
author = "Saul T. Epstein and Michael F. Barnsley",
title = "A variational approach to the theory of multipoint
{Pad{\'e}} approximants",
journal = j-J-MATH-PHYS,
volume = "14",
number = "3",
pages = "314--325",
month = mar,
year = "1973",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.1666315",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 28 16:39:58 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1970.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v14/i3/p314_s1",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis)",
corpsource = "Univ. Wisconsin, Madison, WI, USA",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "bounding properties; frequency dependent
polarizability function; function approximation;
functions; generalized Hylleraas variational principle;
series (mathematics); series of Stieltjes; theory of
multipoint Pad{\'e} approximants; variational approach;
variational techniques",
onlinedate = "3 November 2003",
pagecount = "12",
treatment = "T Theoretical or Mathematical",
}
@Article{Barnsley:1974:DVP,
author = "M. F. Barnsley and P. D. Robinson",
title = "Dual variational principles and {Pad{\'e}}-type
approximants",
journal = j-J-INST-MATH-APPL,
volume = "14",
number = "??",
pages = "229--249",
month = "????",
year = "1974",
CODEN = "JMTAA8",
ISSN = "0020-2932",
MRclass = "65F99 (41A20)",
MRnumber = "51 #7274",
MRreviewer = "Y. Cherrault",
bibdate = "Fri Apr 5 08:23:25 MST 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0286.65035",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
}
@Article{Barnsley:1974:PAB,
author = "M. F. Barnsley and P. D. Robinson",
title = "{Pad{\'e}}-approximant bounds and approximate
solutions for {Kirkwood--Riseman} integral equations",
journal = j-J-INST-MATH-APPL,
volume = "14",
number = "??",
pages = "251--265",
month = "????",
year = "1974",
CODEN = "JMTAA8",
ISSN = "0020-2932",
MRclass = "65R05",
MRnumber = "51 #7331",
MRreviewer = "Y. Cherruault",
bibdate = "Fri Apr 5 07:24:31 MST 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
ZMnumber = "Zbl 0286.65063",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
}
@Article{Kahane:1974:MTB,
author = "Jean-Pierre Kahane",
title = "Sur le mod{\`e}le de turbulence de {Beno{\^\i}t
Mandelbrot}",
journal = "C. R. Acad. Sci. Paris S{\'e}r. A",
volume = "278",
number = "??",
pages = "621--623",
month = "????",
year = "1974",
CODEN = "????",
ISSN = "????",
MRclass = "60F15 (60G45 76.60)",
MRnumber = "0431353 (55 \#4353)",
MRreviewer = "W. L. Steiger",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Barnsley:1975:CTP,
author = "M. F. Barnsley",
title = "Correction terms for {Pad{\'e}} approximants",
journal = j-J-MATH-PHYS,
volume = "16",
number = "4",
pages = "918--928",
month = apr,
year = "1975",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.522598",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:27:38 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v16/i4/p918_s1",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis)",
corpsource = "Bradford Univ., UK",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "correction terms; functions; Pad{\'e} approximants;
series (mathematics)",
onlinedate = "3 September 2008",
pagecount = "11",
treatment = "T Theoretical or Mathematical",
}
@Article{Barnsley:1975:VBT,
author = "Michael F. Barnsley and Peter D. Robinson",
title = "Variational bounds on transition probabilities",
journal = j-IJQC,
volume = "9",
number = "3",
pages = "479--487",
month = may,
year = "1975",
CODEN = "IJQCB2",
DOI = "https://doi.org/10.1002/qua.560090310",
ISSN = "0020-7608 (print), 1097-461X (electronic)",
ISSN-L = "0020-7608",
bibdate = "Mon Oct 3 08:57:41 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ijqc1970.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Quantum Chem.",
fjournal = "International Journal of Quantum Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/",
onlinedate = "19 Oct 2004",
}
@Article{Voss:1975:NMS,
author = "R. F. Voss and J. Clarke",
title = "$ 1 / f $ Noise in Music and Speech",
journal = j-NATURE,
volume = "258",
number = "5533",
pages = "317--318",
day = "27",
month = nov,
year = "1975",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/258317a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Mon Sep 10 16:55:44 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v258/n5533/pdf/258317a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Barnsley:1976:BBC,
author = "M. F. Barnsley and George A. {Baker, Jr.}",
title = "Bivariational bounds in a complex {Hilbert} space, and
correction terms for Pad{\'e} approximants",
journal = j-J-MATH-PHYS,
volume = "17",
number = "6",
pages = "1019--1027",
month = jun,
year = "1976",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.523010",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:27:54 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v17/i6/p1019_s1",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis)",
corpsource = "School of Math., Bradford Univ., Bradford, UK",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "analytic function approximation; approximation theory;
bivariational bounds; complex Hilbert space; correction
terms; functional equations; functions; inclusion
regions; Pad{\'e} approximants; variational
techniques",
onlinedate = "28 August 2008",
pagecount = "9",
treatment = "T Theoretical or Mathematical",
}
@Article{Barnsley:1976:BBS,
author = "M. F. Barnsley and P. D. Robinson",
title = "Bivariational Bounds on Solutions of Two-Point
Boundary-Value Problems",
journal = j-J-MATH-ANAL-APPL,
volume = "56",
number = "??",
pages = "172--184",
month = "????",
year = "1976",
CODEN = "JMANAK",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
bibdate = "Fri Jan 12 11:37:56 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-jr,
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
}
@Article{Barnsley:1976:PAB,
author = "M. F. Barnsley",
title = "{Pad{\'e}} approximant bounds for the difference of
two series of {Stieltjes}",
journal = j-J-MATH-PHYS,
volume = "17",
number = "4",
pages = "559--565",
month = apr,
year = "1976",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.522944",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Sat Oct 29 11:27:52 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v17/i4/p559_s1",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis); B0220
(Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "School of Math., Univ. of Bradford, Bradford, UK",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "function approximation; Pad{\'e} approximant bounds",
onlinedate = "28 August 2008",
pagecount = "7",
treatment = "T Theoretical or Mathematical",
}
@Article{Kahane:1976:CMB,
author = "J.-P. Kahane and J. Peyri{\`e}re",
title = "Sur certaines martingales de {Beno{\^\i}t
Mandelbrot}",
journal = j-ADV-MATH,
volume = "22",
number = "2",
pages = "131--145",
month = "????",
year = "1976",
CODEN = "ADMTA4",
ISSN = "0001-8708 (print), 1090-2082 (electronic)",
ISSN-L = "0001-8708",
MRclass = "60F15 (60G45 76.60)",
MRnumber = "0431355 (55 \#4355)",
MRreviewer = "W. L. Steiger",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Advances in Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/00018708",
}
@Article{Orlov:1976:CBP,
author = "Ju. K. Orlov",
title = "The connection between the {Pareto} distribution and
the generalized {Zipf--Mandelbrot} law",
journal = "Sakharth. SSR Mech. Akad. Moambe",
volume = "83",
number = "1",
pages = "57--60",
month = "????",
year = "1976",
CODEN = "????",
ISSN = "????",
MRclass = "90A15",
MRnumber = "0434355 (55 \#7321)",
MRreviewer = "S. Krcevinac",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
}
@Article{Barnsley:1977:BBN,
author = "M. F. Barnsley and P. D. Robinson",
title = "Bivariational bounds for non-linear problems",
journal = j-J-INST-MATH-APPL,
volume = "20",
number = "4",
pages = "485--504",
month = "????",
year = "1977",
CODEN = "JMTAA8",
ISSN = "0020-2932",
MRclass = "65H05 (47H15)",
MRnumber = "57 #7982",
MRreviewer = "Robert D. Brown",
bibdate = "Sat Apr 6 16:27:10 2002",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Institute of Mathematics and its
Applications",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
}
@Article{Barnsley:1978:APE,
author = "Michael F. Barnsley and Jacques G. Aguilar",
title = "On the approximation of potential-energy functions for
two-center systems",
journal = j-IJQC,
volume = "13",
number = "5",
pages = "641--677",
month = may,
year = "1978",
CODEN = "IJQCB2",
DOI = "https://doi.org/10.1002/qua.560130509",
ISSN = "0020-7608 (print), 1097-461X (electronic)",
ISSN-L = "0020-7608",
bibdate = "Mon Oct 3 08:58:23 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ijqc1970.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Quantum Chem.",
fjournal = "International Journal of Quantum Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/",
onlinedate = "19 Oct 2004",
}
@Article{Barnsley:1978:RAB,
author = "M. F. Barnsley and P. D. Robinson",
title = "Rational Approximant Bounds for a Class of
Two-Variable {Stieltjes} Functions",
journal = j-SIAM-J-MATH-ANA,
volume = "9",
number = "2",
pages = "272--290",
month = apr,
year = "1978",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
bibdate = "Sun Nov 28 19:28:37 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/9/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Duran:1978:XFM,
author = "Carlos Dur{\'a}n",
title = "A Xeometr{\'\i}a Fractal de {Mandelbrot}",
journal = "Grial",
volume = "??",
number = "62",
pages = "465--468",
month = "????",
year = "1978",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/29749665",
acknowledgement = ack-nhfb,
}
@Article{Dyson:1978:RCI,
author = "Freeman Dyson",
title = "Review: Characterizing Irregularity:
{{\booktitle{Fractals. Form, Chance, and Dimension}},
by Beno{\^\i}t B. Mandelbrot}",
journal = j-SCIENCE,
volume = "200",
number = "4342",
pages = "677--678",
day = "12",
month = may,
year = "1978",
CODEN = "SCIEAS",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1746976",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Gardner:1978:MGW,
author = "M. Gardner",
title = "Mathematical games: White and brown music, fractal
curves and $ 1 / f $ fluctuations",
journal = j-SCI-AMER,
volume = "238",
number = "4",
pages = "16--32",
month = apr,
year = "1978",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
Theory/nld.bib",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "fractal",
}
@Article{Good:1978:RBF,
author = "I. J. Good",
title = "Review: {{\booktitle{Fractals: Form, Chance, and
Dimension}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-J-AM-STAT-ASSOC,
volume = "73",
number = "362",
pages = "438",
month = jun,
year = "1978",
CODEN = "JSTNAL",
ISSN = "0162-1459 (print), 1537-274X (electronic)",
ISSN-L = "0162-1459",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2286682",
acknowledgement = ack-nhfb,
fjournal = "Journal of the American Statistical Association",
journal-URL = "http://www.tandfonline.com/loi/uasa20",
}
@Article{Howland:1978:RBF,
author = "Howard C. Howland",
title = "Review: {{\booktitle{Fractals: Form, Change, and
Dimension}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-Q-REV-BIOL,
volume = "53",
number = "2",
pages = "216",
month = jun,
year = "1978",
CODEN = "QRBIAK",
ISSN = "0033-5770 (print), 1539-7718 (electronic)",
ISSN-L = "0033-5770",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2826364",
acknowledgement = ack-nhfb,
fjournal = "Quarterly review of biology",
}
@Article{Kac:1978:RBF,
author = "Mark Kac",
title = "Review: {{\booktitle{Fractals: Form, Chance, and
Dimension}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-AM-SCI,
volume = "66",
number = "2",
pages = "250",
month = mar,
year = "1978",
CODEN = "AMSCAC",
ISSN = "0003-0996 (print), 1545-2786 (electronic)",
ISSN-L = "0003-0996",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27848608",
acknowledgement = ack-nhfb,
fjournal = "American Scientist",
journal-URL = "http://www.americanscientist.org/issues/past.aspx",
}
@Article{Kilmister:1978:RBF,
author = "C. W. Kilmister",
title = "Review: {{\booktitle{Fractals: Form, Chance and
Dimension}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-MATH-GAZ,
volume = "62",
number = "420",
pages = "130--132",
month = jun,
year = "1978",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3617679",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}
@Article{Voss:1978:NMM,
author = "R. F. Voss and J. Clarke",
title = "$ 1 / f $ noise in Music: Music from $ 1 / f $ Noise",
journal = j-J-ACOUST-SOC-AM,
volume = "63",
number = "??",
pages = "258--263",
month = "????",
year = "1978",
CODEN = "JASMAN",
ISSN = "0001-4966",
ISSN-L = "0001-4966",
bibdate = "Mon Sep 10 17:02:38 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Acoustical Society of America",
journal-URL = "http://scitation.aip.org/content/asa/journal/jasa",
}
@Article{Barnsley:1979:CMB,
author = "M. Barnsley and D. Bessis",
title = "Constructive methods based on analytic
characterizations and their application to nonlinear
elliptic and parabolic differential equations",
journal = j-J-MATH-PHYS,
volume = "20",
number = "6",
pages = "1135--1145",
month = jun,
year = "1979",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.524165",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "41A36 (35B30 35B32)",
MRnumber = "81d:41029",
MRreviewer = "T. St{\'y}s",
bibdate = "Sat Oct 29 11:28:35 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v20/i6/p1135_s1",
acknowledgement = ack-nhfb,
classification = "A0230 (Function theory, analysis); A0260 (Numerical
approximation and analysis)",
corpsource = "CENS, Gif-sur-Yvette, France",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "analytic characterizations; Bernsteins' theorems;
function approximation; functional equations; nonlinear
differential equations; nonlinear elliptic differential
equations; nonlinear parabolic differential equations;
nonlinear problems; perturbation series; positivity
properties; quadratic nonlinearity",
onlinedate = "29 July 2008",
pagecount = "11",
treatment = "T Theoretical or Mathematical",
}
@Article{Barnsley:1979:DMP,
author = "M. Barnsley and D. Bessis and P. Moussa",
title = "The {Diophantine} moment problem and the analytic
structure in the activity of the ferromagnetic {Ising}
model",
journal = j-J-MATH-PHYS,
volume = "20",
number = "4",
pages = "535--546",
month = apr,
year = "1979",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.524121",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "82A67 (44A60)",
MRnumber = "81a:82049",
bibdate = "Sat Oct 29 11:28:33 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1975.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v20/i4/p535_s1",
acknowledgement = ack-nhfb,
classification = "A0550 (Lattice theory and statistics; A7510H (Ising
and other classical spin models (magnetism)); Ising
problems)",
corpsource = "CENS, Gif-sur-Yvette, France",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
keywords = "Diophantine moment; Dirac delta functions;
ferromagnetic Ising model; Ising model; magnetisation;
magnetisation intensity",
onlinedate = "29 July 2008",
pagecount = "12",
treatment = "T Theoretical or Mathematical",
}
@Article{Bresson:1979:RBF,
author = "Denis Bresson",
title = "Review: {{\booktitle{Fractals: Form, Chance and
Dimension}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-LEONARDO,
volume = "12",
number = "3",
pages = "248--249",
month = "????",
year = "1979",
CODEN = "LEONDP",
ISSN = "0024-094X (print), 1530-9282 (electronic)",
ISSN-L = "0024-094X",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1574228",
acknowledgement = ack-nhfb,
fjournal = "Leonardo (Oxford, England)",
journal-URL = "http://www.jstor.org/journal/leonardo",
}
@Article{Iosifescu:1979:BRBc,
author = "Marius Iosifescu",
title = "Book Review: {{\booktitle{Fractals: Form, Chance and
Dimension}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-INT-STAT-REV,
volume = "47",
number = "3",
pages = "299--299",
month = dec,
year = "1979",
CODEN = "ISTRDP",
DOI = "https://doi.org/10.2307/1402650",
ISSN = "0306-7734 (print), 1751-5823 (electronic)",
ISSN-L = "0306-7734",
bibdate = "Wed Jun 18 06:09:12 MDT 2014",
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https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/intstatrev.bib",
URL = "http://www.jstor.org/stable/1402650",
acknowledgement = ack-nhfb,
fjournal = "International Statistical Review / Revue
Internationale de Statistique",
journal-URL = "http://www.jstor.org/journals/03067734.html",
}
@Article{Kirkby:1979:BRB,
author = "M. J. Kirkby",
title = "Book Review: {{\booktitle{Fractals: Form, chance, and
dimension}}, Beno{\^\i}t B. Mandelbrot, W. H. Freeman
and Co., 1977. No. of pages: 365. Price: U.S.
\$14.95}",
journal = j-EARTH-SURF-PROCESSES,
volume = "4",
number = "1",
pages = "98--98",
month = jan # "\slash " # mar,
year = "1979",
CODEN = "ESPRDT",
DOI = "https://doi.org/10.1002/esp.3290040122",
ISSN = "????",
ISSN-L = "0360-1269",
bibdate = "Mon Sep 10 06:01:24 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Earth Surface Processes",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1931-8065",
onlinedate = "3 Jan 2007",
}
@Article{Robinson:1979:PBB,
author = "Peter D. Robinson and Michael F. Barnsley",
title = "Pointwise bivariational bounds on solutions of
{Fredholm} integral equations",
journal = j-SIAM-J-NUMER-ANAL,
volume = "16",
number = "1",
pages = "135--144",
month = feb,
year = "1979",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65R20 (45L05)",
MRnumber = "80b:65157",
MRreviewer = "Frank G. Hagin",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Stoyan:1979:BRM,
author = "D. Stoyan",
title = "Book Review: {Mandelbrot, B. B., \booktitle{Fractals:
Form, Chance, and Dimension}. San Francisco. W. H.
Freeman and Company. 1977. 352 S., 68 Abb., \$14.95}",
journal = j-Z-ANGE-MATH-MECH,
volume = "59",
number = "8",
pages = "402--403",
month = "????",
year = "1979",
CODEN = "ZAMMAX",
DOI = "https://doi.org/10.1002/zamm.19790590830",
ISSN = "0044-2267 (print), 1521-4001 (electronic)",
ISSN-L = "0044-2267",
bibdate = "Mon Sep 10 06:02:45 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "{Zeitschrift f{\"u}r Angewandte Mathematik und
Mechanik}",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001",
onlinedate = "22 NOV 2006",
}
@InProceedings{Voss:1979:FNB,
author = "R. F. Voss",
editor = "????",
booktitle = "{Proceedings of the Annual Symposium on Frequency
Control (32nd) Held in Atlantic City, New Jersey on 31
May--2 June 1978}",
title = "$ 1 / f $ (flicker) noise: a brief review",
publisher = "Electronic Industries Association",
address = "Washington, DC, USA",
bookpages = "viii + 566",
pages = "40--46",
year = "1979",
ISBN = "????",
ISBN-13 = "????",
LCCN = "TK7872.O7 F72 1978",
bibdate = "Mon Sep 10 17:01:24 2012",
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acknowledgement = ack-nhfb,
}
@Article{Barnsley:1980:CSK,
author = "M. Barnsley and H. Cornille",
title = "On a class of solutions of the {Krook--Tjon--Wu} model
of the {Boltzmann} equation",
journal = j-J-MATH-PHYS,
volume = "21",
number = "5",
pages = "1176--1193",
month = may,
year = "1980",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.524542",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "82A40 (45K05)",
MRnumber = "82h:82023",
bibdate = "Sat Oct 29 18:18:29 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v21/i5/p1176_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "21 July 2008",
pagecount = "18",
}
@Article{Berry:1980:WMF,
author = "M. V. Berry and Z. V. Lewis",
title = "On the {Weierstrass--Mandelbrot} Fractal Function",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "370",
number = "1743",
pages = "459--484",
day = "24",
month = apr,
year = "1980",
CODEN = "PRLAAZ",
ISSN = "0080-4630",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2397195",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of London. Series A,
Mathematical and physical sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/content/current",
}
@Article{Barnsley:1981:BMN,
author = "M. Barnsley and G. Turchetti",
title = "Bounding methods in nuclear physics",
journal = j-COMP-PHYS-COMM,
volume = "22",
number = "2--3",
pages = "325--343",
month = apr,
year = "1981",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(81)90068-0",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 09:27:06 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465581900680",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Burrough:1981:FDL,
author = "P. A. Burrough",
title = "Fractal dimensions of landscapes and other
environmental data",
journal = j-NATURE,
volume = "294",
number = "5838",
pages = "240--242",
day = "19",
month = nov,
year = "1981",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/294240a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v294/n5838/pdf/294240a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Lefort:1982:LOA,
author = "B. Lefort",
title = "{L}'Emploi des Outils au Cours de Taches d'Entretien
et la Loi de {Zipf--Mandelbrot}. ({French}) [The Use of
Tools in Maintenance Tasks and the {Zipf--Mandelbrot
Law}]",
journal = j-TRAV-HUM,
volume = "45",
number = "2",
pages = "307--316",
month = "????",
year = "1982",
CODEN = "TRHUAH",
ISSN = "0041-1868 (print), 2104-3663 (electronic)",
ISSN-L = "0041-1868",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://www.jstor.org/stable/40657805",
acknowledgement = ack-nhfb,
fjournal = "Le Travail Humain",
language = "French",
}
@Article{Norton:1982:GDG,
author = "A. Norton",
title = "Generation and display of geometric fractals in
{$3$-D}",
journal = j-COMP-GRAPHICS,
volume = "16",
number = "3",
pages = "61--67",
month = jul,
year = "1982",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "Graphics/imager/imager.82.bib;
Graphics/siggraph/82.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
conference = "held in Boston, Mass.; 26--30 July 1982",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "I33 display algorithms, I35 object representation
curve surface solid, I37 color shading shadowing
texture",
}
@Article{Boyd:1983:RBF,
author = "James N. Boyd",
title = "Review: {{\booktitle{The Fractal Geometry of Nature}},
(L) by Beno{\^\i}t B. Mandelbrot}",
journal = j-MATH-TEACH,
volume = "76",
number = "4",
pages = "288",
month = apr,
year = "1983",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27963479",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{Ferson:1983:RBF,
author = "Scott Ferson",
title = "Review: {{\booktitle{The Fractal Geometry of Nature}},
by Beno{\^\i}t B. Mandelbrot}",
journal = j-Q-REV-BIOL,
volume = "58",
number = "3",
pages = "412--413",
month = sep,
year = "1983",
CODEN = "QRBIAK",
ISSN = "0033-5770 (print), 1539-7718 (electronic)",
ISSN-L = "0033-5770",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2828658",
acknowledgement = ack-nhfb,
fjournal = "Quarterly review of biology",
}
@Article{Kajiya:1983:NTRa,
author = "James T. Kajiya",
title = "New Techniques For Ray Tracing Procedurally Defined
Objects",
journal = j-COMP-GRAPHICS,
volume = "17",
number = "3",
pages = "91--102",
month = jul,
year = "1983",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "Graphics/imager/imager.83.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
annote = "Also appears in {\bf Tutorial: Computer Graphics:
Image Synthesis}, Kenneth I. Joy, Charles W. Grant,
Nelson L. Max, and Lansing Hatfield (eds.), Computer
Society Press, Washington, 1988, p. 168-188. \\ We
present new algorithms for efficient ray tracing of
three procedurally defined objects: fractal surfaces,
prisms, and surfaces of revolution. The fractal surface
algorithm performs recursive subdivision adaptively.
Subsurfaces which cannot intersect a given ray are
culled from further consideration. The prism algorithm
transforms the three-dimensional ray-surface
intersection problem into a two-dimensional ray-curve
intersection problem, which is solved by the method of
strip trees. The surface-of-revolution algorithm
transforms the three-dimensional ray-surface
intersection problem into a two-dimensional curve-curve
intersection problem, which again is solved by strip
trees. \\ Kajiya presents good solid methods for ray
tracing various models which are represented
procedurally. Fractals are ray traced as they are
built, which keeps unseen fractal surfaces from being
evolved. Prisms are ray traced in a fairly simple
fashion. A clever use of geometric transforms is used
to ray trace surfaces of revolution. Makes good use of
strip trees (see Ballard).",
conference = "held in Detroit, Michigan; 25--29 July 1983",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "I37 fractal surfaces, I37 prisms, I37 ray tracing, I37
surfaces of revolution, ray tracing intersect,
procedural models, fractals, revolution, prisms",
}
@Article{Kajiya:1983:NTRb,
author = "James T. Kajiya",
title = "New Techniques for Ray Tracing Procedurally Defined
Objects",
journal = j-TOG,
volume = "2",
number = "3",
pages = "161--181",
month = jul,
year = "1983",
CODEN = "ATGRDF",
ISSN = "0730-0301 (print), 1557-7368 (electronic)",
ISSN-L = "0730-0301",
bibdate = "Thu Aug 25 23:12:20 1994",
bibsource = "Graphics/ray.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tog.bib",
note = "Also appeared in SIGGRAPH '83 Proceedings, and in
Tutorial: Computer Graphics: Image Synthesis, Computer
Society Press, Washington, 1988, pp. 168--188.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778",
keywords = "fractal; object intersection; prism; ray tracing;
surfaces of revolution",
}
@Article{Kirkby:1983:BRB,
author = "M. J. Kirkby",
title = "Book Review: {{\booktitle{The fractal geometry of
nature}}. Beno{\^\i}t B. Mandelbrot. W. H. Freeman and
Co., San Francisco, 1982. No. of pages: 460. Price:
\pounds 22.75 (hardback)}",
journal = j-EARTH-SURF-PROCESSES-LANDFORMS,
volume = "8",
number = "4",
pages = "406--406",
month = jul # "\slash " # aug,
year = "1983",
CODEN = "ESPLDB",
DOI = "https://doi.org/10.1002/esp.3290080415",
ISSN = "????",
ISSN-L = "0197-9337",
bibdate = "Mon Sep 10 05:59:45 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Earth Surface Processes and Landforms",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9837",
onlinedate = "18 Jul 2006",
}
@Article{Wheeler:1983:BRB,
author = "John A. Wheeler",
title = "Book Review: {{\booktitle{The Fractal Geometry of
Nature}}, Beno{\^\i}t B. Mandelbrot. 460 pp. Freeman,
San Francisco, 1982. Price: \$32.50}",
journal = j-AMER-J-PHYSICS,
volume = "51",
number = "3",
pages = "286--287",
month = mar,
year = "1983",
CODEN = "AJPIAS",
ISSN = "0002-9505 (print), 1943-2909 (electronic)",
ISSN-L = "0002-9505",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/ajpias/v51/i3/p286/s1",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Physics",
journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp",
}
@Article{Avnir:1984:MFS,
author = "David Avnir and Dina Farin and Peter Pfeifer",
title = "Molecular fractal surfaces",
journal = j-NATURE,
volume = "308",
number = "5956",
pages = "261--263",
day = "15",
month = mar,
year = "1984",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/308261a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v308/n5956/pdf/308261a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Barcellos:1984:FGM,
author = "Anthony Barcellos",
title = "The Fractal Geometry of {Mandelbrot}",
journal = j-COLLEGE-MATH-J,
volume = "15",
number = "2",
pages = "98--114",
month = mar,
year = "1984",
CODEN = "????",
DOI = "https://doi.org/10.1080/00494925.1984.11972758",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:49:53 MST 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/00494925.1984.11972758",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Boroda:1984:ZML,
author = "M. G. Boroda and A. A. Polikarpov",
title = "The {Zipf--Mandelbrot} law and units of different
levels of text organization",
journal = "Tartu Riikl. {\"U}l. Toimetised",
volume = "??",
number = "689",
pages = "35--60",
month = "????",
year = "1984",
CODEN = "????",
ISSN = "????",
MRclass = "92A25",
MRnumber = "781731 (86c:92030)",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Tartu Riikliku {\"U}likooli Toimetised. Uchenye
Zapiski Tartuskogo Gosudarstvennogo Universiteta. Acta
et Commentationes Universitatis Tartuensis",
}
@Article{Brady:1984:FGC,
author = "R. M. Brady and R. C. Ball",
title = "Fractal growth of copper electrodeposits",
journal = j-NATURE,
volume = "309",
number = "5965",
pages = "225--229",
day = "17",
month = may,
year = "1984",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/309225a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v309/n5965/pdf/309225a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Burn:1984:RBF,
author = "R. P. Burn",
title = "Review: {{\booktitle{The Fractal Geometry of Nature}},
by Beno{\^\i}t B. Mandelbrot}",
journal = j-MATH-GAZ,
volume = "68",
number = "443",
pages = "71--72",
month = mar,
year = "1984",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3615422",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}
@Article{Cannon:1984:RBF,
author = "J. W. Cannon",
title = "Review: {{\booktitle{The Fractal Geometry of Nature}},
by Beno{\^\i}t B. Mandelbrot}",
journal = j-AMER-MATH-MONTHLY,
volume = "91",
number = "9",
pages = "594--598",
month = nov,
year = "1984",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2323761",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Chakerian:1984:RBF,
author = "Don Chakerian",
title = "Review: {{\booktitle{The Fractal Geometry of Nature}},
by Beno{\^\i}t B. Mandelbrot}",
journal = j-COLLEGE-MATH-J,
volume = "15",
number = "2",
pages = "175--177",
month = mar,
year = "1984",
CODEN = "????",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2686529",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
}
@Article{Davis:1984:IBM,
author = "Monte Davis",
title = "Interview with {Beno{\^\i}t Mandelbrot}",
journal = "Omni (New York)",
volume = "6",
number = "5",
pages = "64--??",
month = feb,
year = "1984",
ISSN = "0149-8711",
ISSN-L = "0149-8711",
bibdate = "Sat Aug 31 09:24:35 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://archive.org/details/omni-magazine-1984-02;
http://omnimagindex.wordpress.com/author-indices/authors-d/",
acknowledgement = ack-nhfb,
remark = "This issue is missing from the archive.org
collection.",
}
@Article{Good:1984:BRB,
author = "I. J. Good",
title = "Book Review: {{\booktitle{The Fractal Geometry of
Nature}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-SIAM-REVIEW,
volume = "26",
number = "1",
pages = "131--132",
month = jan,
year = "1984",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1026020",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:53:44 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/26/1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/siread/v26/i1/p131/s1;
http://www.jstor.org/stable/2029696",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1984",
}
@Article{Good:1984:RBF,
author = "I. J. Good",
title = "Review: {{\booktitle{The Fractal Geometry of Nature}},
by Beno{\^\i}t B. Mandelbrot}",
journal = j-SIAM-REVIEW,
volume = "26",
number = "1",
pages = "131--132",
month = jan,
year = "1984",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1026020",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Fri Jun 21 11:25:02 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://www.jstor.org/stable/2029696",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Jakeman:1984:AMS,
author = "Eric Jakeman",
title = "Applied mathematics: Scattering by fractal objects",
journal = j-NATURE,
volume = "307",
number = "5947",
pages = "110--110",
day = "12",
month = jan,
year = "1984",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/307110a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v307/n5947/pdf/307110a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Peitgen:1984:CPJ,
author = "H.-O. Peitgen and D. Saupe and F. von Haeseler",
title = "{Cayley}'s problem and {Julia} sets",
journal = j-MATH-INTEL,
volume = "6",
number = "??",
pages = "11--20",
month = "????",
year = "1984",
CODEN = "MAINDC",
ISSN = "0343-6993 (print), 1866-7414 (electronic)",
ISSN-L = "0343-6993",
bibdate = "Mon Sep 10 16:50:22 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "The Mathematical Intelligencer",
journal-URL = "http://link.springer.com/journal/283",
}
@Book{Peitgen:1984:HCK,
author = "Heinz-Otto Peitgen and Peter H. Richter",
title = "{Harmonie in Chaos und Kosmos. Bilder aus d. Theorie
dynamischer Systeme}. ({German}) [{Harmony} in chaos
and the cosmos. {Pictures} from the theory of dynamical
systems]",
publisher = "Die Sparkasse in Bremen",
address = "Bremen, West Germany",
pages = "63",
year = "1984",
LCCN = "????",
bibdate = "Mon Sep 10 17:06:30 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
acknowledgement = ack-nhfb,
language = "German",
}
@Book{Peitgen:1984:MKG,
editor = "Heinz Otto Peitgen and Peter H. Richter",
title = "{Morphologie komplexer Grenzen: Bilder aus der Theorie
dynamischer Systeme. Ausstellung vom 27. Mai--9. Juni
1984 im Max-Planck-Institut f{\"u}r Biophysikalische
Chemie, Verwaltungsgeb{\"a}ude am Fassberg,
G{\"o}ttingen u.a.}. ({German}) [{The} morphology of
complex limits: Pictures from the theory of dynamical
systems. Exhibition from 27 May to 9 June 1984 at the
Max Planck Institute for Biophysical Chemistry,
Administration building at {Fassberg, G{\"o}ttingen}]",
publisher = "Forschungsgruppe ``Komplexe Dynamik'', Universit{\"a}t
Bremen",
address = "Bremen, West Germany",
pages = "47",
year = "1984",
LCCN = "????",
bibdate = "Mon Sep 10 17:08:49 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
URL = "http://www.gbv.de/dms/ohb-opac/01903640X.pdf",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Smith:1984:PFF,
author = "Alvy Ray {Smith III}",
title = "Plants, Fractals, and Formal Languages",
journal = j-COMP-GRAPHICS,
volume = "18",
number = "3",
pages = "1--10",
month = jul,
year = "1984",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "Ai/alife.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Applications of formal grammars for generating graphic
fractals --- ``graftals'' --- in the modeling of
plants.",
annote = "Graftals. Methods for displaying natural objects based
on formal language models are presented. In particular,
deterministic models are shown to exhibit sufficient
variety to be used in production graphic systems.",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "automata-theory; fractals; graphics; models; plants",
}
@Article{Sparrow:1984:BRB,
author = "Colin Sparrow",
title = "Book Review: {{\booktitle{The Fractal Geometry of
Nature}}, by B. Mandelbrot}",
journal = j-J-R-STAT-SOC-SER-A-GENERAL,
volume = "147",
number = "4",
pages = "616--618",
month = "????",
year = "1984",
CODEN = "JSSAEF",
DOI = "https://doi.org/10.2307/2981858",
ISSN = "0035-9238",
ISSN-L = "0035-9238",
bibdate = "Sat Jan 24 11:18:15 MST 2015",
bibsource = "http://www.jstor.org/stable/i349612;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jrss-a-1980.bib",
URL = "http://www.jstor.org/stable/2981858",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Royal Statistical Society. Series A
(General)",
journal-URL = "http://www.jstor.org/journals/00359238.html",
}
@Article{Ausloos:1985:MWM,
author = "M. Ausloos and D. H. Berman",
title = "A Multivariate {Weierstrass--Mandelbrot} Function",
journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
volume = "400",
number = "1819",
pages = "331--350",
day = "8",
month = aug,
year = "1985",
CODEN = "PRLAAZ",
ISSN = "0080-4630",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2397968",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the Royal Society of London. Series A,
Mathematical and physical sciences",
journal-URL = "http://rspa.royalsocietypublishing.org/content/current",
}
@InCollection{Barcellos:1985:BM,
author = "Anthony Barcellos",
title = "{Beno{\^\i}t Mandelbrot}",
crossref = "Albers:1985:MPP",
pages = "??--??",
year = "1985",
bibdate = "Fri Mar 30 05:58:34 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Bouville:1985:BER,
author = "Christian Bouville",
title = "Bounding Ellipsoids for Ray-Fractal Intersection",
journal = j-COMP-GRAPHICS,
volume = "19",
number = "3",
pages = "45--52",
month = jul,
year = "1985",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:36 MST 2002",
bibsource = "Graphics/imager/imager.85.bib; http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
annote = "Recently published papers have shown that, with
appropriate intersection algorithms, the rendering of
many procedural objects is possible with all the
advantages offered by the ray-tracing techniques. In
the case of stochastic surfaces, the intersection can
be computed by a recursive subdivision technique. The
efficiency of this algorithm depends essentially on the
bounding volume whose size and shape are directly
related to the stochastic characteristics of these
surfaces. After a brief review of the rendering of
stochastic surfaces and the bounding volume selection
problem, two types of bounding volumes are studies,
describing how their intersection with a ray can be
computed and how their size can be derived from the
stochastic characteristics. The efficiency then, of
these bounding volumes is compared.",
conference = "held in San Francisco, CA; 22--26 July 1985",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "I37 ray fractal intersection, I37 stochastic
surfaces",
}
@Article{Brickmann:1985:BRB,
author = "J. Brickmann",
title = "Book Review: {B. Mandelbrot: \booktitle{The Fractal
Geometry of Nature}, Freeman and Co., San Francisco
1982. 460 Seiten, Preis: \pounds 22,75}",
journal = j-BER-BUNSENGES-PHYS-CHEM,
volume = "89",
number = "2",
pages = "209--209",
month = feb,
year = "1985",
CODEN = "BBPCAX",
DOI = "https://doi.org/10.1002/bbpc.19850890223",
ISSN = "????",
bibdate = "Sat Sep 08 19:20:54 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/bbpc.19850890223/abstract",
acknowledgement = ack-nhfb,
fjournal = "Berichte der Bunsen-Gesellschaft fuer Physikalische
Chemie, 1963--1990",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)0005-9021e",
onlinedate = "7 MAY 2010",
}
@Article{Demko:1985:CFO,
author = "Stephen Demko and Laurie Hodges and Bruce Naylor",
title = "Construction of Fractal Objects with Iterated Function
Systems",
journal = j-COMP-GRAPHICS,
volume = "19",
number = "3",
pages = "271--278",
month = jul,
year = "1985",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:36 MST 2002",
bibsource = "Graphics/imager/imager.85.bib; http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
conference = "held in San Francisco, CA; 22--26 July 1985",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "I35 fractals, I35 iterative methods, I35 geometric
modeling",
}
@Article{Dewdney:1985:CRC,
author = "A. K. Dewdney",
title = "Computer Recreations: a computer microscope zooms in
for a look at the most complex object in mathematics",
journal = j-SCI-AMER,
volume = "253",
number = "2",
pages = "17--21, 24",
month = aug,
year = "1985",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Exploring the Mandelbrot set.",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "models-computer",
}
@Article{Dewdney:1985:CRE,
author = "A. K. Dewdney",
title = "Computer Recreations: Exploring the {Mandelbrot} Set",
journal = j-COMP-GRAPHICS,
volume = "20",
number = "4",
pages = "16--??",
month = "????",
year = "1985",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Mon Sep 10 16:40:00 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
}
@Book{Falconer:1985:GFS,
author = "K. J. Falconer",
title = "The geometry of fractal sets",
volume = "85",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "xiv + 162",
year = "1985",
ISBN = "0-521-25694-1",
ISBN-13 = "978-0-521-25694-0",
LCCN = "QA248 .F274 1985",
bibdate = "Mon Sep 10 16:41:53 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
series = "Cambridge tracts in mathematics",
URL = "http://www.loc.gov/catdir/description/cam031/84012091.html;
http://www.loc.gov/catdir/samples/cam031/84012091.html;
http://www.loc.gov/catdir/toc/cam031/84012091.html",
acknowledgement = ack-nhfb,
subject = "Fractals; Geometric measure theory",
}
@Article{Lewis:1985:FSP,
author = "M. Lewis and D. C. Rees",
title = "Fractal surfaces of proteins",
journal = j-SCIENCE,
volume = "230",
number = "4730",
pages = "1163--1165",
day = "6",
month = dec,
year = "1985",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.4071040",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/230/4730/1163.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Morse:1985:FDV,
author = "D. R. Morse and J. H. Lawton and M. M. Dodson and M.
H. Williamson",
title = "Fractal dimension of vegetation and the distribution
of arthropod body lengths",
journal = j-NATURE,
volume = "314",
number = "6013",
pages = "731--733",
day = "25",
month = apr,
year = "1985",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/314731a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v314/n6013/pdf/314731a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Nittmann:1985:FGV,
author = "Johann Nittmann and G{\'e}rard Daccord and H. Eugene
Stanley",
title = "Fractal growth viscous fingers: quantitative
characterization of a fluid instability phenomenon",
journal = j-NATURE,
volume = "314",
number = "6007",
pages = "141--144",
day = "14",
month = mar,
year = "1985",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/314141a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v314/n6007/pdf/314141a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Peitgen:1985:MSM,
author = "Heinz-Otto Peitgen and Peter H. Richter",
title = "The {Mandelbrot} set in a model for phase
transitions",
journal = j-LECT-NOTES-MATH,
volume = "1111",
pages = "111--134",
year = "1985",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0084587",
ISBN = "3-540-15195-8 (print), 3-540-39298-X (e-book)",
ISBN-13 = "978-3-540-15195-1 (print), 978-3-540-39298-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "82A25 (58F13 82A68)",
MRnumber = "797418 (86h:82023)",
MRreviewer = "B. Derrida",
bibdate = "Fri May 9 19:07:49 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0084587/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0084581",
book-URL = "http://www.springerlink.com/content/978-3-540-39298-9",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Robinson:1985:FFV,
author = "Arthur L. Robinson",
title = "Fractal Fingers in Viscous Fluids",
journal = j-SCIENCE,
volume = "228",
number = "4703",
pages = "1077--1080",
day = "31",
month = may,
year = "1985",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.228.4703.1077",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/228/4703/1077.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Sander:1985:SIP,
author = "L. M. Sander",
title = "Scale-invariant phenomena: Viscous fingers and fractal
growth",
journal = j-NATURE,
volume = "314",
number = "6010",
pages = "405--406",
day = "4",
month = apr,
year = "1985",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/314405a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v314/n6010/pdf/314405a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Taylor:1985:F,
author = "S. James Taylor",
title = "Fractals",
journal = j-SCIENCE,
volume = "229",
number = "4720",
pages = "1381--1381",
day = "27",
month = sep,
year = "1985",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.229.4720.1381",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/229/4720/1381.1.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Turcotte:1985:CLF,
author = "D. L. Turcotte and R. F. Smalley and Sara A. Solla",
title = "Collapse of loaded fractal trees",
journal = j-NATURE,
volume = "313",
number = "6004",
pages = "671--672",
day = "21",
month = feb,
year = "1985",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/313671a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v313/n6004/pdf/313671a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Aharony:1986:F,
author = "Amnon Aharony",
title = "Fractals",
journal = j-SCIENCE,
volume = "232",
number = "4752",
pages = "891--892",
day = "16",
month = may,
year = "1986",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.232.4752.891-a",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/232/4752/891.1.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Book{Barnsley:1986:CDF,
editor = "Michael F. Barnsley and Stephen G. Demko",
title = "Chaotic Dynamics and Fractals",
volume = "2",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
edition = "1",
pages = "xi + 292",
year = "1986",
ISBN = "0-12-079060-2",
ISBN-13 = "978-0-12-079060-9",
LCCN = "QA843 .C471 1986",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
series = "Notes and reports in mathematics in science and
engineering",
crindex = "DS 515.352 CHAO",
keywords = "UCT barcode 198605224701",
}
@Article{Berry:1986:FA,
author = "Michael Berry",
title = "Fractal attractions",
journal = j-NATURE,
volume = "323",
number = "6089",
pages = "590--590",
day = "16",
month = oct,
year = "1986",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/323590a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v323/n6089/pdf/323590a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Clark:1986:FHR,
author = "Nigel N. Clark",
title = "Fractal harmonics and rugged materials",
journal = j-NATURE,
volume = "319",
number = "6055",
pages = "625--625",
day = "20",
month = feb,
year = "1986",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/319625a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v319/n6055/pdf/319625a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Crutchfield:1986:C,
author = "James P. Crutchfield and J. Doyne Farmer and Norman H.
Packard and Robert S. Shaw",
title = "Chaos",
journal = j-SCI-AMER,
volume = "255",
number = "6",
pages = "46--?? (Intl. ed. 38--49)",
month = dec,
year = "1986",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Thu Jan 28 06:54:54 MST 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
Theory/nld.bib",
acknowledgement = ack-nhfb,
classification = "A0540 (Fluctuation phenomena, random processes, and
Brownian motion); A0545 (Theory and models of chaotic
systems)",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "attractors; Brownian motion; causal relationships;
causality; chaos; dynamical systems; fractals; order;
Poincar{\'e} recurrence; prediction; randomness; state
space; turbulence",
treatment = "G General Review",
}
@Article{Ghidaglia:1986:FDA,
author = "J.-M. Ghidaglia",
title = "On the fractal dimension of attractors for viscous
incompressible fluid flows",
journal = j-SIAM-J-MATH-ANA,
volume = "17",
number = "5",
pages = "1139--1157",
month = sep,
year = "1986",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "58F12 (35Q10 76F99)",
MRnumber = "88a:58122",
MRreviewer = "J. E. Marsden",
bibdate = "Sun Nov 28 19:23:56 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/17/5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Gilbert:1986:FDS,
author = "William J. Gilbert",
title = "The fractal dimension of sets derived from complex
bases",
journal = j-CAN-MATH-BULL,
volume = "29",
number = "??",
pages = "495--500",
month = "????",
year = "1986",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1986-078-1",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:32 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v29/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Kappraff:1986:GCS,
author = "Jay Kappraff",
title = "The geometry of coastlines: a study in fractals",
journal = j-COMPUT-MATH-APPL,
volume = "12",
number = "3--4",
pages = "655--671",
month = may # "\slash " # aug,
year = "1986",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 19:00:57 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0898122186904177",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Katz:1986:MPM,
author = "Howard Katz",
title = "A {Mandelbrot} Program for the {Macintosh}",
journal = j-DDJ,
volume = "11",
number = "11",
pages = "42--45",
month = nov,
year = "1986",
CODEN = "DDJOEB",
ISSN = "0888-3076",
bibdate = "Thu Jan 9 09:35:43 MST 1997",
bibsource = "Compendex database;
http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "723; 741; 921",
fjournal = "Dr. Dobb's Journal of Software Tools",
journalabr = "Dr Dobb's J Software Tools",
keywords = "Apple's MDS assembly-language development system;
computer graphics; computer operating systems ---
Program Assemblers; computer programs; computers,
microcomputer; Imaging Techniques; Mandelbrot program;
mathematical techniques --- Set Theory",
}
@Article{LaBrecque:1986:FA,
author = "M. {La Brecque}",
title = "Fractal Applications",
journal = "Mosaic",
volume = "17",
number = "4",
pages = "34--48",
month = "????",
year = "1986",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 16:35:10 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Lovejoy:1986:FCI,
author = "S. Lovejoy and D. Schertzer and P. Ladoy",
title = "Fractal characterization of inhomogeneous geophysical
measuring networks",
journal = j-NATURE,
volume = "319",
number = "6048",
pages = "43--44",
day = "2",
month = jan,
year = "1986",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/319043a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v319/n6048/pdf/319043a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{MacDonald:1986:FFD,
author = "Mairi MacDonald and Naeem Jan",
title = "Fractons and the fractal dimension of proteins",
journal = j-CAN-J-PHYS,
volume = "64",
number = "10",
pages = "1353--1355",
year = "1986",
CODEN = "CJPHAD",
DOI = "https://doi.org/10.1139/p86-239",
ISSN = "0008-4204 (print), 1208-6045 (electronic)",
ISSN-L = "0008-4204",
bibdate = "Sat Sep 8 18:28:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/p86-239",
acknowledgement = ack-nhfb,
eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/p86-239",
fjournal = "Canadian Journal of Physics = Journal canadien de
physique",
journal-URL = "http://www.nrcresearchpress.com/journal/cjp",
}
@Article{Maddox:1986:GWF,
author = "John Maddox",
title = "Gentle warning on fractal fashions",
journal = j-NATURE,
volume = "322",
number = "6077",
pages = "303--303",
day = "24",
month = jul,
year = "1986",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/322303a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v322/n6077/pdf/322303a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Miller:1986:DRT,
author = "Gavin S. P. Miller",
title = "The Definition and Rendering of Terrain Maps",
journal = j-COMP-GRAPHICS,
volume = "20",
number = "4",
pages = "39--48",
month = aug,
year = "1986",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:37 MST 2002",
bibsource = "Graphics/imager/imager.86.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/15922/p39-miller/",
acknowledgement = ack-nhfb,
conference = "held in Dallas, Texas, August 18--22, 1986",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "I37 terrain, I37 fractals, I37 rendering, model
natural terrain stochastic",
subject = "{\bf I.3.7} Computing Methodologies, COMPUTER
GRAPHICS, Three-Dimensional Graphics and Realism. {\bf
I.3.3} Computing Methodologies, COMPUTER GRAPHICS,
Picture/Image Generation. {\bf I.6.3} Computing
Methodologies, SIMULATION AND MODELING, Applications.",
}
@Article{Orbach:1986:DFN,
author = "R. Orbach",
title = "Dynamics of Fractal Networks",
journal = j-SCIENCE,
volume = "231",
number = "4740",
pages = "814--819",
day = "21",
month = feb,
year = "1986",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.231.4740.814",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/231/4740/814.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Book{Peitgen:1986:BF,
author = "Heinz-Otto Peitgen and Peter H. Richter",
title = "The Beauty of Fractals",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 199",
year = "1986",
ISBN = "0-387-15851-0",
ISBN-13 = "978-0-387-15851-8",
LCCN = "QA447 .P45 1986",
bibdate = "Wed Dec 15 10:40:44 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
abstract = "The authors present an unusual attempt to publicize
the field of Complex Dynamics, an exciting mathematical
discipline of respectable tradition that recently
sprang into new life under the impact of modern
computer graphics. Where previous generations of
scientists had to develop their own inner eye to
perceive the abstract aesthetics of their work, the
astounding pictures assembled here invite the reader to
share in a new mathematical experience, to revel in the
charm of fractal frontiers.",
acknowledgement = ack-nhfb,
subject = "Fractals; Fractales; Fractals; Fractals; Dynamisches
System; Fraktal; Fractales; Mathematics",
tableofcontents = "Frontiers of Chaos / 1 \\
Special Sections \\
1 Verhulst Dynamics / 23 \\
2 Julia Sets and Their Computergraphical Generation /
27 \\
3 Sullivan's Classification of Critical Points / 53 \\
4 The Mandelbrot Set / 56 \\
5 External Angles and Hubbard Trees / 63 \\
6 Newton's Method for Complex Polynomials: Cayley's
Problem / 93 \\
7 Newton's Method for Real Equations / 103 \\
8 A Discrete Volterra--Lotka System / 125 \\
Magnetism and Complex Boundaries / 129 \\
Special Sections \\
9 Yang-Lee Zeros / 139 \\
10 Renormalization / 142 \\
References / 147 \\
Invited Contributions / 151 \\
B. B. Mandelbrot: Fractals and the Rebirth of Iteration
Theory / 151 \\
A. Douady: Julia Sets and the Mandelbrot Set / 161 \\
G. Eilenberger: Freedom, Science, and Aesthetics / 175
\\
H. W. Franke: Refractions of Science into Art / 181 \\
Do It Yourself / 189 \\
Documentation / 193 \\
Index / 197",
}
@Article{Pickover:1986:MCA,
author = "C. A. Pickover",
title = "A {Monte Carlo} Approach for $ \epsilon $ Placement in
Fractal-Dimension Calculations for Waveform Graphs",
journal = j-CGF,
volume = "5",
number = "3",
pages = "203--209",
month = sep,
year = "1986",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Fri Jul 18 13:57:17 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "IBM, Yorktown Heights, NY, USA",
affiliationaddress = "IBM, Yorktown Heights, NY, USA",
classification = "723; 922; C1140G (Monte Carlo methods); C4190 (Other
numerical methods)",
corpsource = "Dept. of Comput. Sci., IBM Thomas J. Watson Res.
Center, Yorktown Heights, NY, USA",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "Algorithms; analysis; computational geometry; computer
graphics; computer programming; computerised;
fractal-dimension calculations; fractals; mathematical
statistics --- Monte Carlo Methods; Monte Carlo
methods; natural; self-; shape-characterization; signal
processing; similarity characterization; speech;
structures; theory; waveform; waveform graph; waveform
graphs, design",
subject = "I.5.4 Computing Methodologies, PATTERN RECOGNITION,
Applications, Waveform analysis \\ G.3 Mathematics of
Computing, PROBABILITY AND STATISTICS",
treatment = "T Theoretical or Mathematical",
}
@Article{Pountain:1986:TM,
author = "Dick Pountain",
title = "Turbocharging {Mandelbrot}",
journal = j-BYTE,
volume = "11",
number = "9",
pages = "359--366",
month = sep,
year = "1986",
CODEN = "BYTEDJ",
ISSN = "0360-5280 (print), 1082-7838 (electronic)",
ISSN-L = "0360-5280",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "/usr/local/src/bib/bibliography/Parallel/transputer.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/byte1980.bib",
fjournal = "BYTE Magazine",
}
@Article{Sander:1986:FGP,
author = "Leonard M. Sander",
title = "Fractal growth processes",
journal = j-NATURE,
volume = "322",
number = "6082",
pages = "789--793",
day = "28",
month = aug,
year = "1986",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/322789a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v322/n6082/pdf/322789a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Schroeder:1986:PMS,
author = "Peter B. Schroeder",
title = "Plotting the {Mandelbrot} Set",
journal = j-BYTE,
volume = "11",
number = "13",
pages = "207--211",
month = dec,
year = "1986",
CODEN = "BYTEDJ",
ISSN = "0360-5280 (print), 1082-7838 (electronic)",
ISSN-L = "0360-5280",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/byte1980.bib",
fjournal = "BYTE Magazine",
}
@Article{Termonia:1986:FFC,
author = "Yves Termonia and Paul Meakin",
title = "Formation of fractal cracks in a kinetic fracture
model",
journal = j-NATURE,
volume = "320",
number = "6061",
pages = "429--431",
day = "3",
month = apr,
year = "1986",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/320429a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v320/n6061/pdf/320429a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{VanDamme:1986:FVF,
author = "Henri {Van Damme} and Fran{\c{c}}ois Obrecht and
Pierre Levitz and L. Gatineau and Claude Laroche",
title = "Fractal viscous fingering in clay slurries",
journal = j-NATURE,
volume = "320",
number = "6064",
pages = "731--733",
day = "24",
month = apr,
year = "1986",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/320731a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v320/n6064/pdf/320731a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Vlcek:1986:FAL,
author = "J. Vlcek and E. Cheung",
title = "Fractal analysis of leaf shapes",
journal = j-CAN-J-FOR-RES,
volume = "16",
number = "1",
pages = "124--127",
year = "1986",
CODEN = "CJFRAR",
DOI = "https://doi.org/10.1139/x86-020",
ISSN = "????",
ISSN-L = "0045-5067",
bibdate = "Sat Sep 8 18:28:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/x86-020",
acknowledgement = ack-nhfb,
eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/x86-020",
fjournal = "Canadian Journal of Forest Research = Journal canadien
de la recherche foresti{\`e}re",
journal-URL = "http://www.nrcresearchpress.com/loi/cjfr",
}
@Article{Voss:1986:RFC,
author = "R. F. Voss",
title = "Random fractals: Characterization and measurement",
journal = j-PHYSICA-SCRIPTA,
volume = "T13",
number = "??",
pages = "27--32",
month = "????",
year = "1986",
CODEN = "PHSTBO",
ISSN = "0031-8949 (print), 1402-4896 (electronic)",
ISSN-L = "0031-8949",
bibdate = "Mon Sep 10 17:04:02 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Physica Scripta",
journal-URL = "http://iopscience.iop.org/1402-4896/",
}
@Article{Vrscay:1986:JSM,
author = "Edward R. Vrscay",
title = "{Julia} Sets and {Mandelbrot}-Like Sets Associated
With Higher Order {Schr{\"o}der} Rational Iteration
Functions: a Computer Assisted Study",
journal = j-MATH-COMPUT,
volume = "46",
number = "173",
pages = "151--169",
month = jan,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "58F08 (30D05 65E05)",
MRnumber = "87k:58137",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2008220",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); B0290F (Interpolation
and function approximation); C4120 (Functional
analysis); C4130 (Interpolation and function
approximation)",
corpsource = "Georgia Inst. of Technol., Atlanta, GA, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "complex; cubic polynomials; family; free critical
points; functional analysis; higher order Schroder;
iterative methods; Julia sets; Mandelbrot-like sets;
Newton's method; one-parameter; orbits; polynomials;
rational iteration functions; Riemann sphere",
treatment = "T Theoretical or Mathematical",
}
@Article{Anonymous:1987:BPM,
author = "Anonymous",
title = "Beauty and Profundity: {The Mandelbrot} Set and a
Flock of its Cousins Called {Julia}",
journal = j-SCI-AMER,
volume = "257",
number = "5",
pages = "118--??",
month = nov,
year = "1987",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Thu Jan 28 14:31:50 MST 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
xxnewdata = "1998.01.30",
}
@Article{Campbell:1987:TST,
author = "Philip Campbell",
title = "Is there such a thing as fractal music?",
journal = j-NATURE,
volume = "325",
number = "6107",
pages = "766--766",
day = "26",
month = feb,
year = "1987",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/325766a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v325/n6107/pdf/325766a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Chen:1987:AZL,
author = "Ye-Sho Chen and Ferdinand F. Leimkuhler",
title = "Analysis of {Zipf}'s law: An index approach",
journal = j-INFO-PROC-MAN,
volume = "23",
number = "??",
pages = "171--182",
month = "????",
year = "1987",
CODEN = "IPMADK",
DOI = "https://doi.org/10.1016/0306-4573(87)90002-1",
ISSN = "0306-4573 (print), 1873-5371 (electronic)",
ISSN-L = "0306-4573",
bibdate = "Sat Nov 12 10:49:03 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
ZMnumber = "Zbl 0614.62150",
abstract = "A rigorous analysis of Zipf's law is made using an
index for the sequence of observed values of the
variables in a Zipf-type relationship. Three important
properties relating rank, count, and frequency are
identified. Using this approach, the shape of Zipf-type
curves can be described in terms of three distinct
regions and two parameters of the Mandelbrot--Zipf law.
This result has considerable practical significance,
since it provides rigorous foundations for the
application of Zipf's law.",
acknowledgement = ack-nhfb,
classmath = "62P99 (Appl. of statistics)",
fjournal = "Information Processing and Management",
journal-URL = "http://www.sciencedirect.com/science/journal/03064573",
keywords = "index approach; Mandelbrot-Zipf law; Zipf's law",
}
@Article{Cheng:1987:FNB,
author = "Zheming Cheng and Robert Savit",
title = "Fractal and nonfractal behavior in {L{\'e}vy}
flights",
journal = j-J-MATH-PHYS,
volume = "28",
number = "3",
pages = "592--597",
month = mar,
year = "1987",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.527644",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "60J20 (82A31)",
MRnumber = "88f:60122",
MRreviewer = "Cheng Xun Wu",
bibdate = "Mon Oct 31 11:57:57 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v28/i3/p592_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "6",
}
@Article{Daccord:1987:FPC,
author = "G{\'e}rard Daccord and Roland Lenormand",
title = "Fractal patterns from chemical dissolution",
journal = j-NATURE,
volume = "325",
number = "6099",
pages = "41--43",
day = "1",
month = jan,
year = "1987",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/325041a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v325/n6099/pdf/325041a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Dewdney:1987:CRBb,
author = "A. K. Dewdney",
title = "Computer Recreations: Beauty and profundity: the
{Mandelbrot} set and a flock of its cousins called
{Julia}",
journal = j-SCI-AMER,
volume = "257",
number = "5",
pages = "140--145",
month = nov,
year = "1987",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "Graphics/imager/imager.87.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "fractals",
}
@Article{Grebogi:1987:CSA,
author = "Celso Grebogi and Edward Ott and James A. Yorke",
title = "Chaos, Strange Attractors, and Fractal Basin
Boundaries in Nonlinear Dynamics",
journal = j-SCIENCE,
volume = "238",
number = "4827",
pages = "632--638",
day = "30",
month = oct,
year = "1987",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.238.4827.632",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/238/4827/632.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Guivarch:1987:RSE,
author = "Yves Guivarc'h",
title = "Remarques sur les solutions d'une {\'e}quation
fonctionnelle non lin{\'e}aire de {Beno{\^\i}t
Mandelbrot}",
journal = j-C-R-ACAD-SCI-I,
volume = "305",
number = "4",
pages = "139--141",
month = "????",
year = "1987",
CODEN = "CASMEI",
ISSN = "0249-6291",
ISSN-L = "0764-4442",
MRclass = "60G57 (39B20 60E07 60F15)",
MRnumber = "901628 (88j:60096)",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des
Sciences. S{\'e}rie I. Math{\'e}matique",
}
@Article{Lewis:1987:GSS,
author = "J. P. Lewis",
title = "Generalized Stochastic Subdivision",
journal = j-TOG,
volume = "6",
number = "3",
pages = "167--190",
month = jul,
year = "1987",
CODEN = "ATGRDF",
ISSN = "0730-0301 (print), 1557-7368 (electronic)",
ISSN-L = "0730-0301",
bibdate = "Thu Aug 25 23:56:51 1994",
bibsource = "Graphics/imager/imager.87.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tog.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0730-0301/35069.html",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778",
keywords = "algorithms; color; fractals; modeling of natural
phenomena; shading; shadowing; stochastic
interpolation; stochastic models; texture synthesis;
waves",
subject = "{\bf I.3.3}: Computing Methodologies, COMPUTER
GRAPHICS, Picture/Image Generation. {\bf I.3.7}:
Computing Methodologies, COMPUTER GRAPHICS,
Three-Dimensional Graphics and Realism, Color, shading,
shadowing, and texture. {\bf G.3}: Mathematics of
Computing, PROBABILITY AND STATISTICS, Probabilistic
algorithms (including Monte Carlo).",
}
@Article{Maddox:1987:UFS,
author = "John Maddox",
title = "The {Universe} as a fractal structure",
journal = j-NATURE,
volume = "329",
number = "6136",
pages = "195--195",
day = "17",
month = sep,
year = "1987",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/329195a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v329/n6136/pdf/329195a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{McHardy:1987:FXR,
author = "Ian McHardy and Bozena Czerny",
title = "Fractal {X}-ray time variability and spectral
invariance of the {Seyfert} galaxy {NGC5506}",
journal = j-NATURE,
volume = "325",
number = "6106",
pages = "696--698",
day = "19",
month = feb,
year = "1987",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/325696a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v325/n6106/pdf/325696a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Pickover:1987:GBO,
author = "C. A. Pickover",
title = "Graphics, Bifurcation, Order and Chaos",
journal = j-CGF,
volume = "6",
number = "1",
pages = "26--33",
month = jan,
year = "1987",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Fri Jul 18 13:58:02 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "IBM, Yorktown Heights, NY, USA",
affiliationaddress = "IBM, Yorktown Heights, NY, USA",
classification = "723; 921; C1160 (Combinatorial mathematics); C6130B
(Graphics techniques)",
corpsource = "Dept. of Comput. Sci., IBM Thomas J. Watson Res.
Center, Yorktown Heights, NY, USA",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "algorithms; bifurcation graphics system; bifurcation
maps; bifurcation plot generator; bifurcation theory,
design; chaos equation; chaos theory; computational
geometry; computer graphics; computer-based system;
fractals; Interactive; interactive graphics system;
mathematical techniques --- Applications; nonlinear
systems",
subject = "I.3.m Computing Methodologies, COMPUTER GRAPHICS,
Miscellaneous",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Sander:1987:FGa,
author = "Leonard M. Sander",
title = "Fractal Growth",
journal = j-SCI-AMER,
volume = "256",
number = "1",
pages = "82--88",
month = jan,
year = "1987",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Thu Jan 28 14:31:50 MST 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "A0550 (Lattice theory and statistics; A0560
(Transport processes: theory); A4755K (Multiphase
flows); A6470D (Solid-liquid transitions); Ising
problems)",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "air bubbles; bubbles; crystallisation; diffusion;
fluids; fractals; lattice theory; lattice theory and
statistics; percolation",
treatment = "G General Review",
xxnewdata = "1998.01.30",
}
@Article{Sander:1987:FGb,
author = "Leonard M. Sander",
title = "Fractal Growth",
journal = j-SCI-AMER,
volume = "256",
number = "1",
pages = "94--100",
month = jan,
year = "1987",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0187-94",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/scientificamerican/journal/v256/n1/pdf/scientificamerican0187-94.pdf",
acknowledgement = ack-nhfb,
ajournal = "Sci. Amer.",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Saupe:1987:ECJ,
author = "Dietmar Saupe",
title = "Efficient computation of {Julia} sets and their
fractal dimension",
journal = j-PHYSICA-D,
volume = "28",
number = "??",
pages = "358--370",
month = "????",
year = "1987",
CODEN = "PDNPDT",
ISSN = "0167-2789 (print), 1872-8022 (electronic)",
ISSN-L = "0167-2789",
bibdate = "Mon Sep 10 16:52:11 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Physica. D, Nonlinear phenomena",
journal-URL = "http://www.sciencedirect.com/science/journal/01672789",
}
@Article{Schroeder:1987:TST,
author = "Manfred R. Schroeder",
title = "Is there such a thing as fractal music?",
journal = j-NATURE,
volume = "325",
number = "6107",
pages = "765--766",
day = "26",
month = feb,
year = "1987",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/325765c0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v325/n6107/pdf/325765c0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Book{Anonymous:1988:MM,
author = "Anonymous",
title = "{Mandelbrot} magic",
publisher = "Left Coast Software",
address = "Cupertino, CA, USA",
edition = "Version 3.1",
year = "1988",
LCCN = "QA614.86 .M36 1989",
bibdate = "Mon Sep 10 13:47:00 MDT 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "One computer disk.",
acknowledgement = ack-nhfb,
remark = "Mandelbrot magic generates color displays (``slides'')
of the Mandelbrot set and Julia sets.",
subject = "Fractals",
}
@Article{Bach:1988:AMM,
author = "P. Bach and M. Amanieu and Lam Hoai T. and G.
Lasserre",
title = "Application of Mandelbrot's Model of Abundance
Distribution to the Estimation of Captures in the Thau
Lagoon {France}",
journal = "Journal du Conseil International pour l'Exploration de
la Mer",
volume = "44",
number = "3",
pages = "235--246",
month = "????",
year = "1988",
ISSN = "0020-6466",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Barnsley:1988:BWC,
author = "Michael F. Barnsley and Alan D. Sloan",
title = "A Better Way to Compress Images",
journal = j-BYTE,
volume = "13",
number = "??",
pages = "215--223",
month = jan,
year = "1988",
CODEN = "BYTEDJ",
ISSN = "0360-5280 (print), 1082-7838 (electronic)",
ISSN-L = "0360-5280",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "/usr/local/src/bib/bibliography/Graphics/imager/imager.88.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib;
https://www.math.utah.edu/pub/tex/bib/byte1980.bib",
fjournal = "BYTE Magazine",
}
@Book{Barnsley:1988:FE,
author = "Michael Barnsley",
title = "Fractals Everywhere",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xii + 394",
year = "1988",
ISBN = "0-12-079062-9",
ISBN-13 = "978-0-12-079062-3",
LCCN = "QA614.86 .B37 1988",
MRclass = "*58-01, 00A06, 11K55, 37B99, 37C70, 37D45, 37G15,
28A80, 54H20",
bibdate = "Tue Dec 14 22:40:15 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
ZMnumber = "0691.58001",
abstract = "This book is based on a course called 'Fractal
Geometry' which has been taught in the School of
Mathematics at Georgia Institute of Technology for two
years. \booktitle{Fractals Everywhere} teaches the
tools, methods, and theory of deterministic geometry.
It is useful for describing specific objects and
structures. Models are represented by succinct
formulas.' Once the formula is known, the model can be
reproduced. we do not consider statistical geometry.
The latter aims at discovering general statistical laws
which govern families of similar-looking structures,
such as all cumulus clouds, all maple leaves, or all
mountains. In deterministic geometry, structures are
defined, communicated, and analysed, with the aid of
elementary transformations such as affine
transformations, scalings, rotations, and congruences.
A fractal set generally contains infinitely many points
whose organization is so complicated that it is not
possible to describe the set by specifying directly
where each point in it lies. Instead, the set may be
define by `the relations between the pieces.' It is
rather like describing the solar system by quoting the
law of gravitation and stating the initial conditions.
Everything follows from that. It appears always to be
better to describe in terms of relationships.",
acknowledgement = ack-nhfb,
tableofcontents = "Introduction: Applications for Fractal Functions /
205 \\
Fractal Interpolation Functions / 208 \\
The Fractal Dimension of Fractal Interpolation
Functions / 223 \\
Hidden Variable Fractal Interpolation / 229 \\
Space-Filling Curves / 238 \\
Julia Sets / 246 \\
The Escape Time Algorithm for Computing Pictures of IFS
Attractors and Julia Sets / 246 \\
Iterated Function Systems Whose Attractors Are Julia
Sets / 266 \\
The Application of Julia Set Theory to Newton's Method
/ 276 \\
A Rich Source for Fractals: Invariant Sets of
Continuous Open Mappings / 287 \\
Parameter Spaces and Mandelbrot Sets / 294 \\
The Idea of a Parameter Space: A Map of Fractals / 294
\\
Mandelbrot Sets for Pairs of Transformations / 299 \\
The Mandelbrot Set for Julia Sets / 309 \\
How to Make Maps of Families of Fractals Using Escape
Times / 317 \\
Measures on Fractals / 330 \\
Introduction to Invariant Measures on Fractals / 330
\\
Fields and Sigma-Fields / 337 \\
Measures / 341 \\
Integration / 344 \\
The Compact Metric Space (P (X), d) / 349 \\
A Contraction Mapping on (P (X)) / 350 \\
Elton's Theorem / 364 \\
Application to Computer Graphics / 370 \\
Recurrent Iterated Function Systems / 379 \\
Fractal Systems / 379 \\
Recurrent Iterated Function Systems / 383 \\
Collage Theorem for Recurrent Iterated Function Systems
/ 392 \\
Fractal Systems with Vectors of Measures as Their
Attractors / 403 \\
References / 409 \\
References / 412 \\
Selected Answers / 416 \\
Index / 523 \\
Credits for Figures and Color Plates / 533",
xxtableofcontents = "Metric Spaces \\
Equivalent Spaces \\
Classification of Subsets \\
and the Space of Fractals \\
Spaces \\
Metric Spaces \\
Cauchy Sequences, Limit Points, Closed Sets, Perfect
Sets, and Complete Metric Spaces \\
Compact Sets, Bounded Sets, Open Sets, Interiors, and
Boundaries \\
Connected Sets, Disconnected Sets, and
Pathwise-Connected Sets \\
The Metric Space (H (X), h): The Place Where Fractals
Live \\
The Completeness of the Space of Fractals \\
Additional Theorems about Metric Spaces \\
Transformations on Metric Spaces \\
Contraction Mappings and the Construction of Fractals
\\
Transformations on the Real Line \\
Affine Transformations in the Euclidean Plane \\
Mobius Transformations on the Riemann Sphere \\
Analytic Transformations \\
How to Change Coordinates \\
The Contraction Mapping Theorem \\
Contraction Mappings on the Space of Fractals \\
Two Algorithms for Computing Fractals from Iterated
Function Systems \\
Condensation Sets \\
How to Make Fractal Models with the Help of the Collage
Theorem \\
Blowing in the Wind: The Continuous Dependence of
Fractals on Parameters \\
Chaotic Dynamics on Fractals \\
The Addresses of Points on Fractals \\
Continuous Transformations from Code Space to Fractals
\\
Introduction to Dynamical Systems \\
Dynamics on Fractals: Or How to Compute Orbits by
Looking at Pictures \\
Equivalent Dynamical Systems \\
The Shadow of Deterministic Dynamics \\
The Meaningfulness of Inaccurately Computed Orbits is
Established by Means of a Shadowing Theorem \\
Chaotic Dynamics on Fractals \\
Fractal Dimension",
}
@InCollection{Barnsley:1988:FMR,
author = "Michael F. Barnsley",
title = "Fractal modelling of real world images",
crossref = "Peitgen:1988:SFI",
chapter = "5",
pages = "219--242",
year = "1988",
bibdate = "Wed Mar 8 12:50:12 MST 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
crindex = "DS 516.15 BARN",
keywords = "UCT barcode 1988 03837 401",
}
@Article{Barnsley:1988:HCI,
author = "Michael F. Barnsley and Arnaud Jacquin and
Fran{\c{c}}ois Malassenet and Laurie Reuter and Alan D.
Sloan",
title = "Harnessing Chaos for Image Synthesis",
journal = j-COMP-GRAPHICS,
volume = "22",
number = "4",
pages = "131--140",
month = aug,
year = "1988",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:39 MST 2002",
bibsource = "Graphics/imager/imager.88.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/54852/p131-barnsley/",
acknowledgement = ack-nhfb,
conference = "held in Atlanta, Georgia; 1--5 August 1988",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; design; iterated function systems,
fractals, textures, geometric modeling; theory",
subject = "{\bf I.3.3} Computing Methodologies, COMPUTER
GRAPHICS, Picture/Image Generation, Display algorithms.
{\bf I.3.7} Computing Methodologies, COMPUTER GRAPHICS,
Three-Dimensional Graphics and Realism, Color, shading,
shadowing, and texture. {\bf I.3.3} Computing
Methodologies, COMPUTER GRAPHICS, Picture/Image
Generation, Digitizing and scanning. {\bf I.3.5}
Computing Methodologies, COMPUTER GRAPHICS,
Computational Geometry and Object Modeling, Curve,
surface, solid, and object representations. {\bf F.2.2}
Theory of Computation, ANALYSIS OF ALGORITHMS AND
PROBLEM COMPLEXITY, Nonnumerical Algorithms and
Problems, Geometrical problems and computations.",
}
@Article{Bridger:1988:LMS,
author = "Mark Bridger",
title = "Looking at the {Mandelbrot} Set",
journal = j-COLLEGE-MATH-J,
volume = "19",
number = "4",
pages = "353--363",
month = sep,
year = "1988",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1988.11973139",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:50:45 MST 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1988.11973139",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Chayes:1988:CPM,
author = "J. T. Chayes and L. Chayes and R. Durrett",
title = "Connectivity properties of {Mandelbrot}'s percolation
process",
journal = j-PROBAB-THEORY-RELAT-FIELDS,
volume = "77",
number = "3",
pages = "307--324",
month = mar,
year = "1988",
CODEN = "PTRFEU",
DOI = "https://doi.org/10.1007/BF00319291",
ISSN = "0178-8051 (print), 1432-2064 (electronic)",
ISSN-L = "0178-8051",
bibdate = "Sun Apr 27 11:18:06 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib",
URL = "http://link.springer.com/article/10.1007/BF00319291",
acknowledgement = ack-nhfb,
fjournal = "Probability Theory and Related Fields",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Ciarcia:1988:CCCc,
author = "S. Ciarcia",
title = "{Ciarcia}'s circuit cellar. 3 {A} supercomputer",
journal = j-BYTE,
volume = "13",
number = "13",
pages = "327--339",
month = dec,
year = "1988",
CODEN = "BYTEDJ",
ISSN = "0360-5280 (print), 1082-7838 (electronic)",
ISSN-L = "0360-5280",
bibdate = "Thu Sep 12 17:54:09 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/byte1980.bib",
acknowledgement = ack-nhfb,
classification = "C5440 (Multiprocessor systems and techniques)",
fjournal = "BYTE Magazine",
keywords = "Circuit Cellar Mandelbrot engine; Driver program;
Hardware; IBM PC AT; Multiprocessor architectures;
Supercomputer",
thesaurus = "Multiprocessing systems",
}
@Article{Ciarcia:1988:Sb,
author = "S. Ciarcia",
title = "A supercomputer. 2",
journal = j-BYTE,
volume = "13",
number = "12",
pages = "399--406",
month = nov,
year = "1988",
CODEN = "BYTEDJ",
ISSN = "0360-5280 (print), 1082-7838 (electronic)",
ISSN-L = "0360-5280",
bibdate = "Thu Sep 12 17:54:09 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/byte1980.bib",
acknowledgement = ack-nhfb,
classification = "C5440 (Multiprocessor systems and techniques)",
fjournal = "BYTE Magazine",
keywords = "Algorithms; Design issues; Mandelbrot engine;
Mandelbrot set images; Supercomputer",
thesaurus = "Computerised picture processing; Multiprocessing
systems",
}
@InCollection{Devaney:1988:FPA,
author = "R. L. Devaney",
title = "Fractal Patterns Arising in Chaotic Dynamical
Systems",
crossref = "Peitgen:1988:SFI",
pages = "137--167",
year = "1988",
bibdate = "Fri Jun 07 07:37:58 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Garnett:1988:CAD,
author = "Lucy Garnett",
title = "A computer algorithm for determining the {Hausdorff}
dimension of certain fractals",
journal = j-MATH-COMPUT,
volume = "51",
number = "183",
pages = "291--300",
month = jul,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "58F11 (30D05)",
MRnumber = "89e:58070",
MRreviewer = "Hermann Haase",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation); C7310
(Mathematics)",
corpsource = "Baruch Coll., New York, NY, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "computer algorithm; fractal; fractals; Hausdorff
dimension; Julia set; mathematics computing; Newton
method; nonintegral; numerical methods; quadratic
mapping; self-expanding map",
treatment = "T Theoretical or Mathematical",
}
@Article{Garrison:1988:EEM,
author = "Peter Garrison",
title = "Expeditionary Equipment For {Mandelbrot} Adventurers",
journal = j-CUJ,
volume = "6",
number = "6",
pages = "75--??",
month = jun,
year = "1988",
CODEN = "????",
ISSN = "0898-9788",
bibdate = "Fri Aug 30 16:52:23 MDT 1996",
bibsource = "http://www.cuj.com/cbklist.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "C Users Journal",
}
@Article{H:1988:FS,
author = "J. H.",
title = "Fractal Shorthand",
journal = j-SCI-AMER,
volume = "258",
number = "2",
pages = "28--28",
month = feb,
year = "1988",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0288-28a",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/scientificamerican/journal/v258/n2/pdf/scientificamerican0288-28a.pdf",
acknowledgement = ack-nhfb,
ajournal = "Sci. Amer.",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Kopelman:1988:FRK,
author = "Raoul Kopelman",
title = "Fractal Reaction Kinetics",
journal = j-SCIENCE,
volume = "241",
number = "4873",
pages = "1620--1626",
day = "23",
month = sep,
year = "1988",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.241.4873.1620",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/241/4873/1620.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Milne:1988:MFG,
author = "Bruce T. Milne",
title = "Measuring the fractal geometry of landscapes",
journal = j-APPL-MATH-COMP,
volume = "27",
number = "1",
pages = "67--79",
month = "????",
year = "1988",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
MRclass = "92A17",
MRnumber = "89f:92059",
bibdate = "Thu Feb 27 09:47:09 MST 1997",
bibsource = "http://www.elsevier.com/locate/issn/00963003;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput.bib",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Pendry:1988:STD,
author = "John Pendry",
title = "Symmetry and Transport in Disordered Systems",
journal = j-IBM-JRD,
volume = "32",
number = "1",
pages = "137--143",
month = jan,
year = "1988",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib",
abstract = "The transfer matrix for a disordered system enables
averages of integer powers of the resistance to be
found, R**N; application of the symmetric group
generalizes this formula to fractional and negative N,
providing a powerful tool for the study of transport.
Consequences for fluctuations in resistance, 1/f noise,
and frequency response are discussed, as well as a new
sort of state, of fractal dimension 1/2, which is
responsible for transport in localized systems.",
acknowledgement = ack-nhfb,
classcodes = "A0210 (Algebra, set theory, and graph theory); A0250
(Probability theory, stochastic processes, and
statistics); A0540 (Fluctuation phenomena, random
processes, and Brownian motion); A0560 (Transport
processes: theory); A7290 (Other topics in electronic
transport in condensed matter)",
classification = "531; 701; 921; 933",
corpsource = "Blackett Lab., Imperial Coll., London, UK",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
journalabr = "IBM J Res Dev",
keywords = "1/2; 1/f noise; direct products; disordered systems;
electric conductivity; fluctuations; fluctuations in;
fractal dimension; fractals; frequency response;
materials; matrix algebra; metallic conductors; noise;
Order-Disorder; probability; probability distributions;
random; resistance; symmetric group; symmetry and
transport; transfer matrix; transfer matrix
generalization; transport in disordered systems;
transport in localized systems; transport processes",
treatment = "T Theoretical or Mathematical",
}
@Article{Prusinkiewicz:1988:KCA,
author = "Przemyslaw Prusinkiewicz and Glen Sandness",
title = "{Koch} Curves as Attractors and Repellers",
journal = j-IEEE-CGA,
volume = "8",
number = "6",
pages = "26--40",
month = nov,
year = "1988",
CODEN = "ICGADZ",
ISSN = "0272-1716 (print), 1558-1756 (electronic)",
ISSN-L = "0272-1716",
bibdate = "Sat Jan 25 06:42:48 MST 1997",
bibsource = "Compendex database; Graphics/siggraph/88.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeecga.bib",
acknowledgement = ack-nhfb,
classification = "721; 723; 741; 921",
conference = "Graphics Interface 88, Selected Papers",
fjournal = "IEEE Computer Graphics and Applications",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/cga",
journalabr = "IEEE Comput Graphics Appl",
keywords = "Attracting Method; Automata Theory --- Formal
Languages; Computer Graphics; fractals; Fractals; Image
Processing; Julia Sets; Koch Curves; Mathematical
Techniques --- Iterative Methods; Repelling Method",
meetingaddress = "Edmonton, Alberta, Can",
meetingdate = "Jun 6--10 1988",
meetingdate2 = "06/6--10/88",
sponsor = "Canadian Man-Computer Communications Soc, Can",
}
@Article{Stepoway:1988:PRF,
author = "Stephen L. Stepoway and Michael Christiansen",
title = "Parallel Rendering of Fractal Surfaces",
journal = j-INT-J-PARALLEL-PROG,
volume = "17",
number = "1",
institution = "SMU",
pages = "43--58",
month = feb,
year = "1988",
CODEN = "IJPPE5",
DOI = "https://doi.org/10.1007/BF01379322",
ISSN = "0885-7458 (print), 1573-7640 (electronic)",
ISSN-L = "0885-7458",
bibdate = "Wed Jul 6 16:39:41 MDT 2005",
bibsource = "Graphics/imager/imager.88.bib;
Graphics/rosenfeld/1989.bib; Graphics/siggraph/88.bib;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0885-7458&volume=17&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0885-7458&volume=17&issue=1&spage=43",
acknowledgement = ack-nhfb,
annote = "Fractal surfaces are a useful modeling technique for
terrain in computer graphics. Although an algorithm
exists for ray tracing (Mandelbrot) fractal surfaces,
the technique is computationally very expensive. The
large degree of parallelism inherent in the problem
suggests the use of parallel architectures for
generating these images. A parallel rendering algorithm
is described for shared memory MIMD machines which
takes advantage of image coherence to reduce
computation. This algorithm has, on a Sequent Balance
21000 with 20 processors, demonstrated a near-linear
speedup. The possible synchronization bottlenecks are
examined by statically assigning different numbers of
CPUs to sections of the screen.",
classification = "C5470 (Performance evaluation and testing); C6130B
(Graphics techniques)",
corpsource = "Dept. of Comput. Sci. and Eng., Southern Methodist
Univ., Dallas, TX, USA",
fjournal = "International Journal of Parallel Programming",
journal-URL = "http://link.springer.com/journal/10766",
keywords = "computer graphics; fractal surfaces; fractals; IMAGE
OUTPUT, STATISTICS; MIMD machines; parallel algorithms;
parallel rendering algorithm; performance evaluation;
Sequent Balance 21000; synchronization bottlenecks",
treatment = "P Practical",
}
@Article{Stewart:1988:BFD,
author = "Ian Stewart",
title = "The beat of a fractal drum",
journal = j-NATURE,
volume = "333",
number = "6170",
pages = "206--207",
day = "19",
month = may,
year = "1988",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/333206a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v333/n6170/pdf/333206a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Thiebaut:1988:FDI,
author = "Dominique Thiebaut",
title = "From the fractal dimension of the intermiss gaps to
the cache-miss ratio",
journal = j-IBM-JRD,
volume = "32",
number = "6",
pages = "796--803",
month = nov,
year = "1988",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Tue Mar 25 14:26:59 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib",
abstract = "This work extends a model proposed by Voldman,
Mandelbrot, et al. on the fractal nature of the gaps
separating cache misses, and shows how the fractal
dimension of the gap distribution can be used to
predict the miss ratio experienced by the program that
has generated the series of cache misses. This result
supports the thesis that the fractal dimension of the
distribution of the intermiss gaps is a potentially
powerful measure for program characterization.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Smith Coll.",
affiliationaddress = "Northampton, MA, USA",
classcodes = "C6120 (File organisation)",
classification = "721; 722; 723; C6120 (File organisation)",
corpsource = "Dept. of Comput. Sci., Smith Coll., Northampton, MA,
USA",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
journalabr = "IBM J Res Dev",
keywords = "buffer storage; Cache-miss ratio; Cache-Miss Ratio;
cache-miss ratio; Computer Metatheory; Computer
Software; Data Storage, Digital; Fractal dimension;
fractal dimension; Fractal Dimension; fractals; Gap
Distribution; Gap distribution; gap distribution;
intermiss gaps; Intermiss gaps; Intermiss Gaps; Memory
access pattern; memory access pattern; Memory Caches;
Program characterization; Program Characterization;
program characterization; storage management",
thesaurus = "Buffer storage; Fractals; Storage management",
treatment = "T Theoretical or Mathematical",
}
@InCollection{Voss:1988:FNC,
author = "R. F. Voss",
title = "Fractals in Nature from Characterization to
Simulation",
crossref = "Peitgen:1988:SFI",
pages = "21--70",
year = "1988",
bibdate = "Fri Jun 07 07:37:58 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Wainer:1988:GFL,
author = "M. Wainer",
title = "Generating fractal-like surfaces on general purpose
mesh-connected computers",
journal = j-IEEE-TRANS-COMPUT,
volume = "37",
number = "7",
pages = "882--886",
month = jul,
year = "1988",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/12.2238",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Sat Jul 9 08:33:27 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=2238",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Anonymous:1989:CAC,
author = "Anonymous",
title = "{Conference on Arithmetics and Coding Systems}",
journal = j-THEOR-COMP-SCI,
volume = "65",
number = "2",
pages = "??--??",
day = "28",
month = jun,
year = "1989",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:29:49 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1985.bib",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C1260
(Information theory); C4240 (Programming and algorithm
theory)",
conflocation = "Marseille-Luminy, France; 9-13 June 1989",
conftitle = "Conference on Arithmetics and Coding Systems",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "arithmetic sequences; arithmetics; beta -expansions;
classification; coding systems; combinatorial
mathematics; computational complexity; diagonal
continued fraction; encoding; ergodic properties;
finitely generated sofic systems; formal logic; fractal
functions; Fredholm determinant; fuller identities;
geometry; infinite words; labelled subtrees; linear
subword complexity; piecewise linear transformation;
q-adic spectral analysis; randomly labelled tree;
rational functions; rational probability measures;
real-time constructed sequences; sequence; skew
products; statistic; symbolic dynamics; Weyl sums",
pubcountry = "Netherlands",
}
@Article{Anonymous:1989:TMS,
author = "Anonymous",
title = "A Tour of the {Mandelbrot} Set aboard the
{Mandelbus}",
journal = j-SCI-AMER,
volume = "260",
number = "2",
pages = "88--??",
month = feb,
year = "1989",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Thu Jan 28 14:31:50 MST 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
xxnewdata = "1998.01.30",
}
@Article{Barnsley:1989:HVF,
author = "M. F. Barnsley and J. Elton and D. Hardin and P.
Massopust",
title = "Hidden Variable Fractal Interpolation Functions",
journal = j-SIAM-J-MATH-ANA,
volume = "20",
number = "5",
pages = "1218--1242",
month = sep,
year = "1989",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "26A30 (41A05 58F13)",
MRnumber = "90h:26004",
MRreviewer = "Stephen Demko",
bibdate = "Sun Nov 28 19:24:53 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/20/5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Barnsley:1989:MSW,
author = "M. F. Barnsley and D. P. Hardin",
title = "A {Mandelbrot} Set whose Boundary is Piecewise
Smooth",
journal = j-TRANS-AM-MATH-SOC,
volume = "315",
number = "2",
pages = "641--659",
month = oct,
year = "1989",
CODEN = "TAMTAM",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2001299",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Bialy:1989:FGH,
author = "Harvey Bialy",
title = "The Fractal Geometry of the Heart",
journal = j-NATURE-BIOTECH,
volume = "7",
number = "12",
pages = "1219--1219",
month = dec,
year = "1989",
CODEN = "NABIF9",
DOI = "https://doi.org/10.1038/nbt1289-1219",
ISSN = "1087-0156 (print), 1546-1696 (electronic)",
ISSN-L = "1087-0156",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nbt/journal/v7/n12/full/nbt1289-1219.html",
acknowledgement = ack-nhfb,
fjournal = "Nature Biotechnology",
journal-URL = "http://www.nature.com/nbt",
}
@Article{Cahn:1989:FDF,
author = "Robert W. Cahn",
title = "Fractal dimension and fracture",
journal = j-NATURE,
volume = "338",
number = "6212",
pages = "201--202",
day = "16",
month = mar,
year = "1989",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/338201a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v338/n6212/pdf/338201a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Cawley:1989:HSF,
author = "Robert Cawley",
title = "The Hard Science of Fractals",
journal = j-SCIENCE,
volume = "245",
number = "4920",
pages = "873--873",
day = "25",
month = aug,
year = "1989",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.245.4920.873",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/245/4920/873.1.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Dewdney:1989:CRT,
author = "A. K. Dewdney",
title = "Computer Recreations: a tour of the {Mandelbrot} set
aboard the {Mandelbus}",
journal = j-SCI-AMER,
volume = "260",
number = "2",
pages = "108--111",
month = feb,
year = "1989",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "Graphics/imager/imager.89.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "fractals",
}
@Article{Dubuc:1989:TFS,
author = "Beno{\^\i}t Dubuc",
title = "On {Takagi} fractal surfaces",
journal = j-CAN-MATH-BULL,
volume = "32",
number = "??",
pages = "377--384",
month = "????",
year = "1989",
CODEN = "CMBUA3",
DOI = "https://doi.org/10.4153/CMB-1989-055-3",
ISSN = "0008-4395 (print), 1496-4287 (electronic)",
ISSN-L = "0008-4395",
bibdate = "Thu Sep 8 10:05:48 MDT 2011",
bibsource = "http://cms.math.ca/cmb/v32/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/canmathbull.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian mathematical bulletin = Bulletin canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cmb/",
}
@Article{Dumont:1989:SNF,
author = "J.-M. Dumont and Alain Thomas",
title = "Syst{\'e}mes de num{\'e}ration et fonction fractales
relatifs aux substitutions. ({French}) [{Systems} of
numeration and fractal functions relative to
substitutions]",
journal = j-THEOR-COMP-SCI,
volume = "65",
number = "2",
pages = "153--169",
day = "28",
month = jun,
year = "1989",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:29:49 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1985.bib",
acknowledgement = ack-nhfb,
affiliation = "Dumont, Jean-Marie",
affiliationaddress = "Faculte des Sciences de Luminy, Marseille, Fr",
classification = "723; 921; B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
conference = "Conference on Arithmetics and Coding Systems",
conflocation = "Marseille-Luminy, France; 9-13 June 1989",
conftitle = "Conference on Arithmetics and Coding Systems",
corpsource = "Dept. de Math., Fac. des Sci. de Luminy, Marseille,
France",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
journalabr = "Theor Comput Sci",
keywords = "asymptotic formula; Computer Metatheory; finite
alphabet; Fractal Functions; fractal functions;
integers; Mathematical Techniques; Number Theory;
number theory; numeration systems; real numbers;
Self-Affine Functions; self-affine functions;
Substitutions; substitutions",
language = "French",
meetingaddress = "Marseille, Fr",
meetingdate = "Jun 9--13 1987",
meetingdate2 = "06/09--13/87",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Entwistle:1989:JSA,
author = "Ian D. Entwistle",
title = "{Julia} set art and fractals in the complex plane",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "13",
number = "3",
pages = "389--392",
month = "????",
year = "1989",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.89.bib;
Graphics/siggraph/89.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Woodside Gardens",
affiliationaddress = "Sittingbourne, Engl",
classification = "723; 921; 922",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Chaos; Complex Functions; Computer
Graphics--Applications; Fractals; Julia Sets;
Mathematical Techniques; Nonlinear Equations",
}
@Article{Finkel:1989:FDG,
author = "David L. Finkel",
title = "Fractal displays of genomic {DNA}. {I}. {Eco RI}
fractal lattice of buffalo rat",
journal = j-IJQC,
volume = "36",
number = "5",
pages = "575--586",
month = nov,
year = "1989",
CODEN = "IJQCB2",
DOI = "https://doi.org/10.1002/qua.560360505",
ISSN = "0020-7608 (print), 1097-461X (electronic)",
ISSN-L = "0020-7608",
bibdate = "Mon Oct 3 12:46:01 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ijqc1980.bib",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Quantum Chem.",
fjournal = "International Journal of Quantum Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/",
onlinedate = "19 Oct 2004",
}
@Article{Fortescue:1989:NPU,
author = "Peter D. Fortescue and Geoffrey S. Puterbaugh",
title = "Note on the practical use of the {VGA} monitor for the
display of fractal images",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "13",
number = "4",
pages = "559--560",
month = "????",
year = "1989",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.89.bib;
Graphics/siggraph/89.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "General Atomic",
affiliationaddress = "La Jolla, CA, USA",
classification = "722; 723",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Computer Graphics; Computer Peripheral Equipment ---
Graphics; Fractals; VGA Monitor",
}
@Article{Fowler:1989:DSM,
author = "Anthony D. Fowler and H. Eugene Stanley and G{\'e}rard
Daccord",
title = "Disequilibrium silicate mineral textures: fractal and
non-fractal features",
journal = j-NATURE,
volume = "341",
number = "6238",
pages = "134--138",
day = "14",
month = sep,
year = "1989",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/341134a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v341/n6238/pdf/341134a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Gomes:1989:FDF,
author = "M. A. F. Gomes and G. L. Vasconcelos",
title = "Fragmentation dynamics in fractal and {Euclidean}
systems",
journal = j-COMP-PHYS-COMM,
volume = "54",
number = "2--3",
pages = "257--261",
month = jun # "\slash " # jul,
year = "1989",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(89)90089-1",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 10:28:28 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465589900891",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Hart:1989:RTD,
author = "John C. Hart and Daniel J. Sandin and Louis H.
Kauffman",
title = "Ray tracing deterministic {$3$-D} fractals",
journal = j-COMP-GRAPHICS,
volume = "23",
number = "3",
pages = "289--296",
month = jul,
year = "1989",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:40 MST 2002",
bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p289-hart/",
acknowledgement = ack-nhfb,
annote = "As shown in 1982, Julia sets of quadratic functions as
well as many other deterministic fractals exist in
spaces of higher dimensionality than the complex plane.
Originally a boundary-tracking algorithm was used to
view these structures but required a large amount of
storage space to operate. By ray tracing these objects,
the storage facilities of a graphics workstation frame
buffer are sufficient. A short discussion of a specific
set of 3-D deterministic fractals precedes a full
description of a ray-tracing algorithm applied to these
objects. A comparison with the boundary-tracing method
and applications to other 3-D deterministic fractals
are also included.",
conference = "held in Boston, Massachusetts; 31 July -- 4 August
1989",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; fractal; theory",
subject = "{\bf I.3.5} Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Curve, surface, solid, and object representations. {\bf
I.3.7} Computing Methodologies, COMPUTER GRAPHICS,
Three-Dimensional Graphics and Realism, Color, shading,
shadowing, and texture.",
}
@Article{Keller:1989:TDS,
author = "James M. Keller and Susan Chen and Richard M.
Crownover",
title = "Texture description and segmentation through fractal
geometry",
journal = j-CVGIP,
volume = "45",
number = "2",
pages = "150--166",
month = feb,
year = "1989",
CODEN = "CVGPDB",
ISSN = "0734-189x (print), 1557-895x (electronic)",
ISSN-L = "0734-189X",
bibdate = "Thu Feb 6 18:44:11 MST 1997",
bibsource = "Compendex database; Graphics/rosenfeld/1989.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cvgip.bib",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Electr. and Comput. Eng., Missouri Univ.,
Columbia, MO, USA",
affiliationaddress = "Columbia, MO, USA",
classification = "723; 921; C1250 (Pattern recognition); C5260B
(Computer vision and picture processing)",
fjournal = "Computer Vision, Graphics, and Image Processing",
journal-URL = "http://www.sciencedirect.com/science/journal/0734189X",
journalabr = "Comput Vision Graphics Image Process",
keywords = "Fractal dimension; Fractal Geometry; Fractal geometry;
Image Analysis; Image Processing; Image Segmentation;
Image surfaces; Image Texture Description; Lacunarity,
image property, statistics; Mathematical
Techniques--Geometry; Natural phenomena; Natural
textures; Texture description; Texture measures;
Texture segmentation",
thesaurus = "Computer vision; Fractals; Surface texture",
}
@Article{Landsberg:1989:RBS,
author = "P. T. Landsberg",
title = "Review: {{\booktitle{The Science of Fractal Images}}.
by Heinz-Otto Peitgen, Dietmar Saupe, M. F. Barnsley,
R. L. Devaney, B. B. Mandelbrot, R. F. Voss, Y. Fisher,
M. McGuire}",
journal = j-LEONARDO,
volume = "22",
number = "3/4",
pages = "455--456",
month = "????",
year = "1989",
CODEN = "LEONDP",
ISSN = "0024-094X (print), 1530-9282 (electronic)",
ISSN-L = "0024-094X",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1575447",
acknowledgement = ack-nhfb,
fjournal = "Leonardo (Oxford, England)",
journal-URL = "http://www.jstor.org/journal/leonardo",
}
@Article{Lewis:1989:ASN,
author = "J. P. Lewis",
title = "Algorithms for Solid Noise Synthesis",
journal = j-COMP-GRAPHICS,
volume = "23",
number = "3",
pages = "263--270",
month = jul,
year = "1989",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:40 MST 2002",
bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p263-lewis/",
acknowledgement = ack-nhfb,
conference = "held in Boston, Massachusetts; 31 July -- 4 August
1989",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; solid noise, texture, stochastic modeling,
simulation of natural phenomena, texture synthesis,
fractals",
subject = "{\bf I.3.5} Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Curve, surface, solid, and object representations. {\bf
I.3.7} Computing Methodologies, COMPUTER GRAPHICS,
Three-Dimensional Graphics and Realism, Color, shading,
shadowing, and texture. {\bf I.3.3} Computing
Methodologies, COMPUTER GRAPHICS, Picture/Image
Generation, Display algorithms.",
}
@Article{Meakin:1989:WF,
author = "Paul Meakin",
title = "Work with Fractals",
journal = j-SCIENCE,
volume = "245",
number = "4925",
pages = "1515--1516",
day = "29",
month = sep,
year = "1989",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.245.4925.1515-a",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/245/4925/1515.2.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Musgrave:1989:SRE,
author = "F. Kenton Musgrave and Craig E. Kolb and Robert S.
Mace",
title = "The Synthesis and Rendering of Eroded Fractal
Terrains",
journal = j-COMP-GRAPHICS,
volume = "23",
number = "3",
pages = "41--50",
month = jul,
year = "1989",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:40 MST 2002",
bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p41-musgrave/",
acknowledgement = ack-nhfb,
annote = "info on efficiently ray tracing height fields \\ In
standard fractal terrain models based on fractional
Brownian motion the statistical character of the
surface is, by design, the same everywhere. A new
approach to the synthesis of fractal terrain height
fields is presented which, in contrast to previous
techniques, features locally independent control of the
frequencies composing the surface, and thus local
control of fractal dimension and other statistical
characteristics. The new technique, termed {\em noise
synthesis}, is intermediate in difficulty of
implementation, between simple stochastic subdivision
and Fourier filtering or generalized stochastic
subdivision, and does not suffer the drawbacks of
creases or periodicity. Varying the local crossover
scale of fractal character or the fractal dimension
with altitude or other functions yields more realistic
first approximations to eroded landscapes. A simple
physical erosion model is then suggested which
simulates hydraulic and thermal erosion processes to
create global stream/valley networks and talus slopes.
Finally, an efficient ray tracing algorithm for general
height fields, of which most fractal terrains are a
subset, is presented.",
conference = "held in Boston, Massachusetts; 31 July -- 4 August
1989",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; fractal, terrain models, stochastic
subdivision, fractional Brownian motion, fractal
dimension, lacunarity, crossover scale, erosion models,
height fields, ray tracing",
subject = "{\bf I.3.7} Computing Methodologies, COMPUTER
GRAPHICS, Three-Dimensional Graphics and Realism,
Color, shading, shadowing, and texture. {\bf I.3.3}
Computing Methodologies, COMPUTER GRAPHICS,
Picture/Image Generation, Display algorithms. {\bf
I.3.5} Computing Methodologies, COMPUTER GRAPHICS,
Computational Geometry and Object Modeling, Curve,
surface, solid, and object representations.",
}
@Article{Parsons:1989:IRU,
author = "Michael S. Parsons",
title = "Image Representations using {Miranda Laws}",
journal = j-CGF,
volume = "8",
number = "2",
pages = "99--106",
month = jun,
year = "1989",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Fri Jul 18 14:02:05 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "Rutherford Appleton Lab",
affiliationaddress = "Chilton, Engl",
classification = "723; 902; C6110 (Systems analysis and programming);
C6120 (File organisation); C6130B (Graphics
techniques); C6140D (High level languages)",
conference = "7th Annual Eurographic (UK) Conference",
corpsource = "Rutherford Appleton Lab., Chilton, Didcot, UK",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "Algebraic data type; algebraic data type; applicative
language Miranda; Applicative language Miranda;
computer graphics; Computer Graphics; computer
graphics; Computer Programming Languages--Applications;
Data Processing--Data Structures; data structures;
Fractal images; fractal images; fractals; functional;
graphical ideas; Graphical ideas; high level languages;
image; Image Processing--Image Coding; Image
representations; image structures; Image structures;
image structures; Image Structures, algorithms;
languages, Miranda laws; Miranda laws; Primitives;
primitives; programming; Programming Language Miranda;
quadtrees; Quadtrees; quadtrees; representations;
self-dividing line lists; Self-dividing line lists;
self-dividing line lists; Standards",
meetingaddress = "Manchester, Engl",
meetingdate = "Mar 29--31 1989",
meetingdate2 = "03/29--31/89",
subject = "D.3.2 Software, PROGRAMMING LANGUAGES, Language
Classifications, Miranda \\ I.3.4 Computing
Methodologies, COMPUTER GRAPHICS, Graphics Utilities,
Picture description languages",
thesaurus = "Computer graphics; Data structures; Fractals;
Functional programming; High level languages",
treatment = "P Practical",
}
@Article{Platzman:1989:SCP,
author = "Loren K. Platzman and John J. {Bartholdi, III}",
title = "Spacefilling Curves and the Planar Travelling Salesman
Problem",
journal = j-J-ACM,
volume = "36",
number = "4",
pages = "719--737",
month = oct,
year = "1989",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
bibdate = "Wed Nov 09 18:40:49 1994",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/JACM.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
URL = "http://www.acm.org/pubs/toc/Abstracts/0004-5411/76361.html",
abstract = "To construct a short tour through points in the plane,
the points are sequenced as they appear along a
spacefilling curve. This heuristic consists essentially
of sorting, so it is easily coded and requires only {$
O(N) $} memory and {$ O(N \log N) $} operations. Its
performance is competitive with that of other fast
methods.",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
keywords = "algorithms; Combinatorics and Graph Theory; fractal
geometry; performance; spacefilling curves;
Verification",
subject = "{\bf G.2.1}: Mathematics of Computing, DISCRETE
MATHEMATICS, Combinatorics, Combinatorial algorithms.
{\bf F.2.2}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Sequencing and scheduling.
{\bf F.2.2}: Theory of Computation, ANALYSIS OF
ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
Algorithms and Problems, Sorting and searching.",
}
@Article{Rarity:1989:CSF,
author = "John Rarity",
title = "Colloids stick to fractal rules",
journal = j-NATURE,
volume = "339",
number = "6223",
pages = "340--341",
day = "1",
month = jun,
year = "1989",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/339340a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v339/n6223/pdf/339340a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Schaefer:1989:PFC,
author = "Dale W. Schaefer",
title = "Polymers, Fractals, and Ceramic Materials",
journal = j-SCIENCE,
volume = "243",
number = "4894",
pages = "1023--1027",
day = "24",
month = feb,
year = "1989",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.243.4894.1023",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/243/4894/1023.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Book{Scholz:1989:FG,
editor = "C. H. (Christopher H.) Scholz and Beno{\^\i}t B.
Mandelbrot",
title = "Fractals in geophysics",
volume = "131(1/2)",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "313",
year = "1989",
ISBN = "0-8176-2206-3 (U.S.)",
ISBN-13 = "978-0-8176-2206-0 (U.S.)",
LCCN = "QC801 .G37 v.131, no.1/2; QE33.2.M3 F73 1989",
bibdate = "Sat Sep 8 15:40:34 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
jenson.stanford.edu:2210/unicorn",
note = "Reprinted from Pure and applied geophysics (PAGEOPH),
volume 131 (1989), no. 1.",
series = "Pure and applied geophysics",
acknowledgement = ack-nhfb,
subject = "fractals; geology; mathematics",
}
@Article{Shallit:1989:TMG,
author = "Jeffrey Shallit and Jorge Stolfi",
title = "Two methods for generating fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "13",
number = "2",
pages = "185--191",
month = "????",
year = "1989",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.89.bib;
Graphics/siggraph/89.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Dartmouth Coll",
affiliationaddress = "Hanover, NH, USA",
classification = "723; 741; 921",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Computer Graphics--Applications; Fractals; Image
Coding; Image Processing; Mathematical
Techniques--Algorithms",
}
@Article{Szeliski:1989:SF,
author = "Richard Szeliski and Demetri Terzopoulos",
title = "From Splines to Fractals",
journal = j-COMP-GRAPHICS,
volume = "23",
number = "3",
pages = "51--60",
month = jul,
year = "1989",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:40 MST 2002",
bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p51-szeliski/",
acknowledgement = ack-nhfb,
conference = "held in Boston, Massachusetts; 31 July -- 4 August
1989",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; fractals, splines, constraints, scattered
data interpolation, digital terrain models, physically
based modeling, deformable models",
subject = "{\bf G.1.1} Mathematics of Computing, NUMERICAL
ANALYSIS, Interpolation, Spline and piecewise
polynomial interpolation. {\bf I.3.5} Computing
Methodologies, COMPUTER GRAPHICS, Computational
Geometry and Object Modeling, Curve, surface, solid,
and object representations. {\bf I.3.7} Computing
Methodologies, COMPUTER GRAPHICS, Three-Dimensional
Graphics and Realism. {\bf G.1.2} Mathematics of
Computing, NUMERICAL ANALYSIS, Approximation, Spline
and piecewise polynomial approximation.",
}
@Article{Thiebaut:1989:FDC,
author = "D. Thiebaut",
title = "On the fractal dimension of computer programs and its
application to the prediction of the cache miss ratio",
journal = j-IEEE-TRANS-COMPUT,
volume = "38",
number = "7",
pages = "1012--1026",
month = jul,
year = "1989",
CODEN = "ITCOB4",
DOI = "https://doi.org/10.1109/12.30852",
ISSN = "0018-9340 (print), 1557-9956 (electronic)",
ISSN-L = "0018-9340",
bibdate = "Fri Jul 8 19:00:40 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=30852",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Computers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}
@Article{Viennot:1989:CAR,
author = "Xavier Gerard Viennot and Georges Eyrolles and Nicolas
Janey and Didier Arqu{\'e}s",
title = "Combinatorial Analysis of Ramified Patterns and
Computer Imagery of Trees",
journal = j-COMP-GRAPHICS,
volume = "23",
number = "3",
pages = "31--40",
month = jul,
year = "1989",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:40 MST 2002",
bibsource = "Graphics/imager/imager.89.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/74333/p31-viennot/",
acknowledgement = ack-nhfb,
conference = "held in Boston, Massachusetts; 31 July -- 4 August
1989",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; trees, plants, algorithms, realistic image
synthesis, figurative image synthesis, branching
patterns in physics, stochastic modeling, analysis of
form, fractals, self-similarity, combinatorics,
ramification matrix",
subject = "{\bf J.5} Computer Applications, ARTS AND HUMANITIES,
Arts, fine and performing**. {\bf I.3.5} Computing
Methodologies, COMPUTER GRAPHICS, Computational
Geometry and Object Modeling, Curve, surface, solid,
and object representations. {\bf I.3.7} Computing
Methodologies, COMPUTER GRAPHICS, Three-Dimensional
Graphics and Realism, Color, shading, shadowing, and
texture. {\bf J.3} Computer Applications, LIFE AND
MEDICAL SCIENCES, Biology and genetics.",
}
@Article{Vojta:1989:BRB,
author = "G. Vojta",
title = "Book Review: {Beno{\^\i}t B. Mandelbrot.
\booktitle{Die fraktale Geometrie der Natur}.
Birkh{\"a}user Verlag, Basel, Boston, 1987, 491 S.,
zahlreiche Abb. und Tab., SFr98.--, ISBN
3-7643-1771-X}",
journal = j-CRYST-RES-TECHNOL,
volume = "24",
number = "2",
pages = "166--166",
month = feb,
year = "1989",
CODEN = "CRTEDF",
DOI = "https://doi.org/10.1002/crat.2170240207",
ISSN = "????",
bibdate = "Sat Sep 08 19:23:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/crat.2170240207/abstract",
acknowledgement = ack-nhfb,
fjournal = "Crystal Research and Technology",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4079",
onlinedate = "19 FEB 2006",
}
@Article{Allen:1990:POA,
author = "Norton T. Allen",
title = "A Pixel Ordering Algorithm",
journal = j-DDJ,
volume = "15",
number = "6",
pages = "56--61, 116--117",
month = jun,
year = "1990",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Tue Sep 03 09:13:33 1996",
bibsource = "http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
UnCover database",
abstract = "Recognizing the general character of an image early in
the display process lets you begin fine-tuning much
sooner.",
acknowledgement = ack-nhfb,
classification = "C6110 (Systems analysis and programming); C6130B
(Graphics techniques)",
fjournal = "Dr. Dobb's Journal of Software Tools",
keywords = "Bit reversed numbers; Graphics; Interactive
development; Mandelbrot set; Personal computers; Pixel
ordering algorithm; Ray-tracing; Resolution",
thesaurus = "C listings; Computer graphics; Interactive
programming; Microcomputer applications",
}
@Article{Anonymous:1990:DSS,
author = "Anonymous",
title = "In Darkest {Self-Similarity}: {Hugh Kenner} surveys
the literature on fractals",
journal = j-BYTE,
volume = "15",
number = "6",
pages = "382--??",
month = jun,
year = "1990",
CODEN = "BYTEDJ",
ISSN = "0360-5280 (print), 1082-7838 (electronic)",
ISSN-L = "0360-5280",
bibdate = "Tue Jan 2 10:01:41 MST 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "BYTE Magazine",
}
@Article{Badler:1990:IRI,
author = "Norman I. Badler and Welton Becket",
title = "Imperfection for Realistic Image Synthesis",
journal = j-J-VIS-COMP-ANIMATION,
volume = "1",
number = "1",
pages = "26--32",
month = aug,
year = "1990",
CODEN = "JVCAEO",
ISSN = "1049-8907 (print), 1099-1778 (electronic)",
ISSN-L = "1049-8907",
bibdate = "Tue Jun 3 08:05:21 MDT 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/1990.bib.gz;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
telnet sigggraph.org: login biblio",
acknowledgement = ack-nhfb,
annote = "Creating objects with surface imperfections is
accomplished through texture specification and
generation techniques. Based on fractal subdivision
techniques and relatively simple distribution models, a
wide class of surface imperfections may be generated,
combined and rendered. The surface effects include
scratches, splotches, smudges, corrosion, mold, stains,
and rust. A rule-based system is used to position the
various surface imperfections on the texture map, and a
simple natural language interface is used to specify
the kinds of imperfections and their generative
parameters through adverbs and prepositional phrases.
Results along some of the imperfection dimensions are
illustrated.",
classification = "C5260B (Computer vision and picture processing);
C6170 (Expert systems); C6180N (Natural language
processing)",
corpsource = "Dept. of Comput. and Inf. Sci., Pennsylvania Univ.,
Philadelphia, PA, USA",
fjournal = "Journal of Visualization and Computer Animation",
keywords = "adverbs; computerised pattern recognition;
computerised picture processing; corrosion;
distribution models; fractal subdivision techniques;
fractals; generative parameters; imperfection
dimensions; imperfections; knowledge based systems;
mould; natural language; natural languages;
prepositional phrases; procedural texture; realistic
image synthesis; reflectance models; rule-based system;
rule-based systems; rust; scratches; simple natural
language interface; smudges; splotches; stains; surface
effects; surface imperfections; texture; texture
generation; texture map; texture specification",
treatment = "P Practical",
xxauthor = "W. Becket and N. I. Badler",
}
@Article{Chabert:1990:DSF,
author = "Jean-Luc Chabert",
title = "Un demi-si{\`e}cle de fractales: 1870--1920.
({French}) [{A} half-century of fractals: 1870--1920]",
journal = j-HIST-MATH,
volume = "17",
number = "4",
pages = "339--365",
month = nov,
year = "1990",
CODEN = "HIMADS",
ISSN = "0315-0860 (print), 1090-249X (electronic)",
ISSN-L = "0315-0860",
bibdate = "Wed Jun 26 06:18:25 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/histmath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/031508609090026A",
acknowledgement = ack-nhfb,
fjournal = "Historia Mathematica",
journal-URL = "http://www.sciencedirect.com/science/journal/03150860",
language = "French",
}
@Article{Cortini:1990:FMS,
author = "Massimo Cortini",
title = "Fractal magmatic systems",
journal = j-NATURE,
volume = "346",
number = "6281",
pages = "226--226",
day = "19",
month = jul,
year = "1990",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/346226b0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v346/n6281/pdf/346226b0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Davidoff:1990:DF,
author = "Frank Davidoff",
title = "Dynamic fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "14",
number = "1",
pages = "135--136",
month = "????",
year = "1990",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.90.bib;
Graphics/siggraph/90.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
classification = "723",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Chaos Theory; Color; Computer Graphics; Dynamic
Fractals; Fractal Images",
}
@Article{Davy:1990:SCP,
author = "Ph. Davy and A. Sornette and D. Sornette",
title = "Some consequences of a proposed fractal nature of
continental faulting",
journal = j-NATURE,
volume = "348",
number = "6296",
pages = "56--58",
day = "1",
month = nov,
year = "1990",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/348056a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v348/n6296/pdf/348056a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Dekking:1990:SMP,
author = "F. M. Dekking and R. W. J. Meester",
title = "On the structure of {Mandelbrot}'s percolation process
and other random {Cantor} sets",
journal = j-J-STAT-PHYS,
volume = "58",
number = "5--6",
pages = "1109--1126",
month = mar,
year = "1990",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF01026566",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Sat Aug 30 12:47:08 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=58&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib",
URL = "http://link.springer.com/article/10.1007/BF01026566",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Book{Devaney:1990:TCO,
author = "Robert L. Devaney",
title = "Transition to chaos: the orbit diagram and the
{Mandelbrot} set",
publisher = "Science television",
address = "New York, NY, USA",
year = "1990",
ISBN = "1-878310-08-9",
ISBN-13 = "978-1-878310-08-8",
LCCN = "QA447 .T7 1990",
bibdate = "Mon Sep 10 10:42:39 MDT 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "One VHS videocassette (65 min.).",
acknowledgement = ack-nhfb,
remark = "G{\'e}n{\'e}rique: R{\'e}alisation, Robert L.
Devaney.. Distributeur: Science television.",
subject = "Dynamique diff{\'e}rentiable; Th{\'e}orie de la
bifurcation; Chaos; Chaotic behavior in systems;
Computer graphics; Mathematics; Dynamics; Fractals;
Data processing; Dynamique diff{\'e}rentielle;
Bifurcation, Th{\'e}orie de la; Chaos",
}
@Article{Hart:1990:RBB,
author = "Eric W. Hart",
title = "Review: {{\booktitle{The Beauty and the Complexity of
the Mandelbrot Set: University Edition}}, by John H.
Hubbard}",
journal = j-MATH-TEACH,
volume = "83",
number = "8",
pages = "686",
month = "????",
year = "1990",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27966920",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{Horgan:1990:MS,
author = "John Horgan",
title = "{Mandelbrot} Set-To",
journal = j-SCI-AMER,
volume = "262",
number = "4",
pages = "30--34",
month = apr,
year = "1990",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0490-30b",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 11:06:18 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/scientificamerican/journal/v262/n4/pdf/scientificamerican0490-30b.pdf",
acknowledgement = ack-nhfb,
ajournal = "Sci. Amer.",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Horn:1990:III,
author = "Alastair N. Horn",
title = "{IFSs} and interactive image synthesis",
journal = j-CGF,
volume = "9",
number = "2",
pages = "127--137",
month = jun,
year = "1990",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Fri Jul 18 14:03:37 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "Oxford Univ Computing Lab",
affiliationaddress = "Oxford, Engl",
classification = "722; 723; 741; 921; C6130B (Graphics techniques)",
corpsource = "Comput. Lab., Oxford Univ., UK",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "AMT DAP; computational geometry; computer graphics;
Computer Graphics; computer graphics; Computer Systems,
Digital --- Parallel Processing; Deterministic Fractal
Geometry; deterministic fractals; Deterministic
fractals; deterministic fractals; fractals; geometric
mapping; Geometric mapping; geometric mapping; IFSs;
image generation; Image Generation; Image generation;
image generation; Image Processing --- Synthesis;
Interactive; interactive image synthesis; Interactive
image synthesis; interactive image synthesis;
interactive system for image synthesis; Interactive
system for image synthesis; interactive system for
image synthesis; Interactive System, IFSs; interactive
systems; iterated function; Iterated function systems;
Iterated Function Systems; Mathematical Techniques ---
Geometry; Parallel Algorithms; parallel programming;
self-tiling images; Self-tiling images; self-tiling
images; SIMD parallelism; systems; Tiling Structures",
thesaurus = "Computational geometry; Computer graphics; Fractals;
Interactive systems; Parallel programming",
treatment = "P Practical",
}
@Article{Jones:1990:DGB,
author = "Huw Jones",
title = "{D{\"u}rer}, Gaskets and {Barnsley}'s Chaos Game",
journal = j-CGF,
volume = "9",
number = "4",
pages = "327--332",
month = dec,
year = "1990",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "Middlesex Polytechnic",
affiliationaddress = "London, England",
classification = "723; 921; C4240 (Programming and algorithm theory);
C4290 (Other computer theory); C6130B (Graphics
techniques)",
corpsource = "Fac. of Eng., Sci. and Math., Middlesex Polytech.,
London, UK",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "Chaos Game; Chaos Theory; computational geometry;
computer graphics; Computer Graphics; computer
graphics; Computer Programming --- Algorithms; Fractal
object; fractal object; Fractal Objects, Sierpinski
triangle; fractals; Gasket; gasket; Mathematical
Models; random points; Random points; Regular polygons;
regular polygons; Sierpinski triangle; Sierpinski
Triangles; Tiling pattern; tiling pattern",
thesaurus = "Computational geometry; Computer graphics; Fractals",
treatment = "P Practical",
}
@Article{Jones:1990:TUR,
author = "John Dewey Jones",
title = "Three unconventional representations of the
{Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "14",
number = "1",
pages = "127--129",
month = "????",
year = "1990",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.90.bib;
Graphics/siggraph/90.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Simon Fraser Univ",
affiliationaddress = "Burnaby, BC, Can",
classification = "723",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Chaos Theory; Computer Graphics; Computer
Programming--Algorithms; double exposure; fish-eye
perspective; Fractal Images",
}
@Article{Jurgens:1990:LF,
author = "Hartmut J{\"u}rgens and Heinz-Otto Peitgen and Dietmar
Saupe",
title = "The Language of Fractals",
journal = j-SCI-AMER,
volume = "263",
number = "2",
pages = "60--?? (Intl. ed. 40--??)",
month = aug,
year = "1990",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Thu Jan 28 14:31:50 MST 1999",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
abstract = "With fractal geometry, mathematicians can describe the
beats of a dying heart or the birth of a storm cloud
with the same ease that an architect can draw the
blueprints for a house. They can also generate complex
structures precisely, using only a few mathematical
``words.'' Fractal algorithms may help cut the
complexity and cost of transmitting and storing
images.",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
journalabr = "Sci Am",
xxnewdata = "1998.01.30",
}
@Article{Knill:1990:LNO,
author = "David C. Knill and Daniel Kersten",
title = "Learning a near-optimal estimator for surface shape
from shading",
journal = j-CVGIP,
volume = "50",
number = "1",
pages = "75--100",
month = apr,
year = "1990",
CODEN = "CVGPDB",
ISSN = "0734-189x (print), 1557-895x (electronic)",
ISSN-L = "0734-189X",
bibdate = "Fri Jan 31 15:09:26 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cvgip.bib",
acknowledgement = ack-nhfb,
affiliation = "Brown Univ",
affiliationaddress = "Providence, RI, USA",
classification = "723; 741; 921; C1140Z (Other and miscellaneous);
C1240 (Adaptive system theory); C1250 (Pattern
recognition); C5260B (Computer vision and picture
processing)",
fjournal = "Computer Vision, Graphics, and Image Processing",
journal-URL = "http://www.sciencedirect.com/science/journal/0734189X",
journalabr = "Comput Vision Graphics Image Process",
keywords = "Arbitrary light source directions; Associative
Learning; Bayesian estimation; Bayesian Estimation;
Coarse-scale surface shape; Conditional probability;
Fine-scale details; Gradient descent technique; Image
Analysis; Image data; Image Processing; Imaging
function; Learning Algorithm; Linear estimator; Linear
Estimator; Mathematical Techniques--Estimation; Natural
surfaces model; Posterior probability; Random fractal
surfaces; Shading; Surface conditional; Surface Shape;
Surface shape from shading; Systems Science and
Cybernetics--Learning Systems; Widrow Hoff associative
learning algorithm",
thesaurus = "Computer vision; Estimation theory; Fractals; Learning
systems; Visual perception",
}
@Article{Kurths:1990:BRB,
author = "J. Kurths",
title = "Book Review: {Beno{\^\i}t B. Mandelbrot:
\booktitle{Die fraktale Geometrie der Natur}.
Birkh{\"a}user Verlag, Basel, 1987, 491 Seiten. Preis:
Sfr 98,-. ISBN 3-7643-1771-X}",
journal = j-ASTRO-NACHR,
volume = "311",
number = "1",
pages = "88--88",
month = "????",
year = "1990",
CODEN = "ASNAAN",
DOI = "https://doi.org/10.1002/asna.2113110129",
ISSN = "0004-6337 (print), 1521-3994 (electronic)",
ISSN-L = "0004-6337",
bibdate = "Sat Sep 08 19:25:55 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/asna.2113110129/abstract",
acknowledgement = ack-nhfb,
fjournal = "Astronomische Nachrichten",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3994/issues",
onlinedate = "15 Feb 2006",
}
@Article{Larison:1990:RBM,
author = "Ted Larison",
title = "Review: {{\booktitle{Mandelbrot Magic 3.1}}}",
journal = j-MATH-TEACH,
volume = "83",
number = "2",
pages = "157",
month = "????",
year = "1990",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27966565",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{Mainster:1990:FPR,
author = "Martin A. Mainster",
title = "The fractal properties of retinal vessels:
Embryological and clinical implications",
journal = j-EYE,
volume = "4",
number = "1",
pages = "235--241",
month = jan,
year = "1990",
CODEN = "EYEEEC",
DOI = "https://doi.org/10.1038/eye.1990.33",
ISSN = "0950-222X (print), 1476-5454 (electronic)",
ISSN-L = "0950-222X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/eye/journal/v4/n1/pdf/eye199033a.pdf",
acknowledgement = ack-nhfb,
fjournal = "Eye",
journal-URL = "http://www.nature.com/eye/archive/",
}
@Article{Mirowski:1990:MCE,
author = "Philip Mirowski",
title = "From {Mandelbrot} to Chaos in Economic Theory",
journal = "Southern Economic Journal",
volume = "57",
number = "2",
pages = "289--307",
month = oct,
year = "1990",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/1060611",
acknowledgement = ack-nhfb,
}
@Article{Miyata:1990:MGS,
author = "Kazunori Miyata",
title = "A Method of Generating Stone Wall Patterns",
journal = j-COMP-GRAPHICS,
volume = "24",
number = "4",
pages = "387--394",
month = aug,
year = "1990",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:41 MST 2002",
bibsource = "Graphics/imager/imager.90.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/97879/p387-miyata/",
acknowledgement = ack-nhfb,
conference = "held in Dallas, Texas; 6--10 August 1990",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; design; texture, stone wall, simulation of
natural phenomena, fractal, texture generation",
subject = "{\bf I.3.7} Computing Methodologies, COMPUTER
GRAPHICS, Three-Dimensional Graphics and Realism,
Color, shading, shadowing, and texture. {\bf I.3.3}
Computing Methodologies, COMPUTER GRAPHICS,
Picture/Image Generation, Display algorithms. {\bf
I.3.5} Computing Methodologies, COMPUTER GRAPHICS,
Computational Geometry and Object Modeling, Curve,
surface, solid, and object representations.",
}
@Article{Ohnishi:1990:CRH,
author = "Teruaki Ohnishi",
title = "Is the cosmic-ray hadron shower a fractal?",
journal = j-CAN-J-PHYS,
volume = "68",
number = "9",
pages = "906--911",
year = "1990",
CODEN = "CJPHAD",
DOI = "https://doi.org/10.1139/p90-127",
ISSN = "0008-4204 (print), 1208-6045 (electronic)",
ISSN-L = "0008-4204",
bibdate = "Sat Sep 8 18:28:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/p90-127",
acknowledgement = ack-nhfb,
eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/p90-127",
fjournal = "Canadian Journal of Physics = Journal canadien de
physique",
journal-URL = "http://www.nrcresearchpress.com/journal/cjp",
}
@Article{Palmore:1990:CAC,
author = "J. Palmore and C. Herring",
title = "Computer arithmetic, chaos and fractals",
journal = j-PHYSICA-D,
volume = "42",
number = "1--3",
pages = "99--110",
month = jun,
year = "1990",
CODEN = "PDNPDT",
DOI = "https://doi.org/10.1016/0167-2789(90)90069-2",
ISSN = "0167-2789 (print), 1872-8022 (electronic)",
ISSN-L = "0167-2789",
bibdate = "Tue Dec 12 09:17:24 MST 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Ninth Annual International Conference of the Center
for Nonlinear Studies on Self-Organizing, Collective
and Cooperative Phenomena in Natural and Artificial
Networks",
abstract = "The authors explore aspects of computer arithmetic
from the viewpoint of dynamical systems. They
demonstrate the effects of finite precision arithmetic
in three uniformly hyperbolic chaotic dynamical
systems: Bernoulli shifts, cat maps, and pseudorandom
number generators. They show that elementary
floating-point operations in binary computer arithmetic
possess an inherently fractal structure. Each of these
dynamical systems allows us to compare the exact
results in integer arithmetic with those obtained by
using floating-point arithmetic.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Illinois Univ., Urbana, IL, USA",
classification = "C1160 (Combinatorial mathematics); C5230 (Digital
arithmetic methods)",
confdate = "22-26 May 1989",
conflocation = "Los Alamos, NM, USA",
fjournal = "Physica. D, Nonlinear phenomena",
journal-URL = "http://www.sciencedirect.com/science/journal/01672789",
keywords = "Bernoulli shifts; Binary computer arithmetic; Cat
maps; Chaos; Computer arithmetic; Dynamical systems;
Elementary floating-point operations; Finite precision
arithmetic; Floating-point arithmetic; Fractal
structure; Integer arithmetic; Pseudorandom number
generators; Self-similar structure; Uniformly
hyperbolic chaotic dynamical systems",
pubcountry = "Netherlands",
thesaurus = "Chaos; Digital arithmetic; Fractals; Random number
generation; Roundoff errors",
}
@Article{Pool:1990:FF,
author = "Robert Pool",
title = "Fractal Fracas",
journal = j-SCIENCE,
volume = "249",
number = "4967",
pages = "363--364",
day = "27",
month = jul,
year = "1990",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.249.4967.363",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/249/4967/363.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Schechter:1990:CHM,
author = "Dan Schechter",
title = "{CUG305 HGA Mandelbrot Explorer} and Card Games",
journal = j-CUJ,
volume = "8",
type = "CUG New Release",
number = "3",
pages = "131--??",
month = mar,
year = "1990",
CODEN = "????",
ISSN = "0898-9788",
bibdate = "Fri Aug 30 16:52:23 MDT 1996",
bibsource = "http://www.cuj.com/cbklist.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "C Users Journal",
}
@Article{Senn:1990:MSB,
author = "Peter Senn",
title = "The {Mandelbrot} set for binary numbers",
journal = j-AMER-J-PHYSICS,
volume = "58",
pages = "1018--??",
year = "1990",
CODEN = "AJPIAS",
ISSN = "0002-9505 (print), 1943-2909 (electronic)",
ISSN-L = "0002-9505",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/ajpias/v58/i10/p1018/s1",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Physics",
journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp",
}
@Article{Vanraan:1990:FDC,
author = "A. F. J. Vanraan",
title = "Fractal dimension of co-citations",
journal = j-NATURE,
volume = "347",
number = "6294",
pages = "626--626",
day = "18",
month = oct,
year = "1990",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/347626a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v347/n6294/pdf/347626a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Book{Zahlten:1990:FHE,
author = "Cornelia Zahlten and Heinz-Otto Peitgen and Dietmar
Saupe and H. (Hartmut) J{\"u}rgens",
title = "Fractals: an animated discussion",
publisher = "Films for the humanities and sciences",
address = "Princeton, NJ, USA",
year = "1990",
ISBN = "0-7365-6093-9",
ISBN-13 = "978-0-7365-6093-1",
LCCN = "QA614.86 .F76 2003",
bibdate = "Mon Sep 10 13:35:13 MDT 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "One DVD (63 min).",
abstract = "The Mandelbrot set and the Lorenz attractor are turned
into visible objects as their discoverers, Beno{\^\i}t
Mandelbrot and Edward Lorenz, discuss the background
history and details of their work.",
}
@Article{Anonymous:1991:RPK,
author = "Anonymous",
title = "Up from {Rosie}: {Professor Kenner} examines a new
book of essays about fractals and chaos",
journal = j-BYTE,
volume = "16",
number = "5",
pages = "386--??",
month = may,
year = "1991",
CODEN = "BYTEDJ",
ISSN = "0360-5280 (print), 1082-7838 (electronic)",
ISSN-L = "0360-5280",
bibdate = "Tue Jan 2 10:01:41 MST 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "BYTE Magazine",
}
@Article{Brandt:1991:ACH,
author = "Jonathan Brandt and Carlos Cabrelli and Ursula
Molter",
title = "An algorithm for the computation of the {Hutchinson}
distance",
journal = j-INFO-PROC-LETT,
volume = "40",
number = "2",
pages = "113--117",
day = "25",
month = oct,
year = "1991",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib",
note = "See also corrigendum \cite{Brandt:1992:CAC}.",
acknowledgement = ack-nhfb,
affiliation = "UC Davis",
affiliationaddress = "Davis, CA, USA",
classification = "723; 922; C4130 (Interpolation and function
approximation); C4240 (Programming and algorithm
theory)",
corpsource = "Div. of Comput. Sci., California Univ., Davis, CA,
USA",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "absolute values; algorithm theory; Algorithms;
approximation theory; Computer Programming; finite
one-dimensional sequences; fractals; Hutchinson
distance; Hutchinson Metric; Hutchinson metric; input
measures; linear-time algorithm; partial sums;
pointwise difference; Probability; Probability
Measures",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Cabrelli:1991:DFA,
author = "Carlos Cabrelli and Ursula Molter",
title = "Density of fuzzy attractors: a step towards the
solution of the inverse problem for fractals and other
sets",
crossref = "Byrnes:1992:PSM",
pages = "163--173",
year = "1991",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
}
@Article{Chayes:1991:PTM,
author = "J. T. Chayes and L. Chayes and E. Grannan and G.
Swindle",
title = "Phase transitions in {Mandelbrot}'s percolation
process in three dimensions",
journal = j-PROBAB-THEORY-RELAT-FIELDS,
volume = "90",
number = "3",
pages = "291--300",
month = "????",
year = "1991",
CODEN = "PTRFEU",
DOI = "https://doi.org/10.1007/BF01193747",
ISSN = "0178-8051 (print), 1432-2064 (electronic)",
ISSN-L = "0178-8051",
bibdate = "Sun Apr 27 11:18:27 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib",
URL = "http://link.springer.com/article/10.1007/BF01193747",
acknowledgement = ack-nhfb,
fjournal = "Probability Theory and Related Fields",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Chen:1991:IUS,
author = "Min Chen and Roger Temam",
title = "Incremental unknowns for solving partial differential
equations",
journal = j-NUM-MATH,
volume = "59",
number = "3",
pages = "255--271",
month = jun,
year = "1991",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N06 (65F10)",
MRnumber = "92e:65133",
MRreviewer = "O. Widlund",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
Parallel/mgnet.bib; Parallel/Multi.grid.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Inst. for Appl. Math. and Sci. Comput., Indiana Univ.,
Bloomington, IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "difference equations; evolution equations; finite
difference approximations; fractal attractors;
incremental unknowns; Laplace equations; linear
elliptic problems; partial differential equations;
two-level approximations",
treatment = "T Theoretical or Mathematical",
}
@Article{Corana:1991:ECC,
author = "A. Corana and A. Casaleggio and C. Rolando and S.
Ridella",
title = "Efficient computation of the correlation dimension
from a time series on a {LIW} computer",
journal = j-PARALLEL-COMPUTING,
volume = "17",
number = "6--7",
pages = "809--820",
month = sep,
year = "1991",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Mon Apr 14 11:08:33 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C7310 (Mathematics)",
corpsource = "Istituto per i Circuiti Elettronici, CNR, Genova,
Italy",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
keywords = "12 MFLOPS; 16 MFLOPS; 28 MFLOPS; 38 MFLOPS; chaos;
chaos theory; chaotic attractor; computational kernels;
computer aided analysis; correlation dimension;
evaluation; FPS M645/60 LIW computer; fractal
dimension; LIW computer; mathematics computing;
nonlinear; nonlinear systems; parallel algorithms;
parallel computers; performance; real time series;
recursive computation; series (mathematics); systems;
time series",
treatment = "T Theoretical or Mathematical",
}
@Article{Devaney:1991:ODM,
author = "Robert L. Devaney",
title = "The Orbit Diagram and the {Mandelbrot} Set",
journal = j-COLLEGE-MATH-J,
volume = "22",
number = "1",
pages = "23--38",
month = jan,
year = "1991",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1991.11973355",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:51:11 MST 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1991.11973355",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Dorren:1991:MEN,
author = "H. J. S. Dorren and A. Tip",
title = "{Maxwell}'s equations for nonsmooth media:
fractal-shaped and pointlike objects",
journal = j-J-MATH-PHYS,
volume = "32",
number = "11",
pages = "3060--3070",
month = nov,
year = "1991",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.529052",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "78A25 (35Q60 47F05 47N20 78A40 81Q05)",
MRnumber = "93a:78007",
MRreviewer = "V. H. Weston",
bibdate = "Tue Nov 1 08:57:34 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v32/i11/p3060_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "11",
}
@Article{Flam:1991:BFD,
author = "Faye Flam",
title = "Beating a Fractal Drum",
journal = j-SCIENCE,
volume = "254",
number = "5038",
pages = "1593--1593",
day = "13",
month = dec,
year = "1991",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.254.5038.1593",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/254/5038/1593.1.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{FRANTZ:1991:MSC,
author = "Marny Frantz and Sylvia Lazarnick",
title = "The {Mandelbrot} Set in the Classroom",
journal = j-MATH-TEACH,
volume = "84",
number = "3",
pages = "173--177",
month = "????",
year = "1991",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27967086",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{Garrison:1991:RBB,
author = "Lionel Garrison",
title = "Review: {{\booktitle{The Beauty and the Complexity of
the Mandelbrot Set: School Edition}}, by John H.
Hubbard}",
journal = j-MATH-TEACH,
volume = "84",
number = "4",
pages = "334",
month = "????",
year = "1991",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27967167",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{Goffinet:1991:NSC,
author = "Daniel Goffinet",
title = "Number systems with a complex base: a fractal tool for
teaching topology",
journal = j-AMER-MATH-MONTHLY,
volume = "98",
number = "3",
pages = "249--255",
month = mar,
year = "1991",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "54-01 (28A80)",
MRnumber = "92a:54002",
MRreviewer = "Christoph Bandt",
bibdate = "Wed Dec 3 17:17:33 MST 1997",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Good:1991:RBS,
author = "I. J. Good",
title = "Review: {{\booktitle{The Science of Fractal Images}}.
by Heinz-Otto Peitgen, Dietmar Saupe, M. F. Barnsley,
R. L. Devaney, B. B. Mandelbrot, R. F. Voss, Y. Fisher,
M. McGuire}",
journal = j-SIAM-REVIEW,
volume = "33",
number = "3",
pages = "496--499",
month = sep,
year = "1991",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2031463",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Hart:1991:EAR,
author = "John C. Hart and Thomas A. DeFanti",
title = "Efficient antialiased rendering of {$3$-D} linear
fractals",
journal = j-COMP-GRAPHICS,
volume = "25",
number = "4",
pages = "91--100",
month = jul,
year = "1991",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:42 MST 2002",
bibsource = "Graphics/imager/imager.91.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/122718/p91-hart/",
acknowledgement = ack-nhfb,
conference = "held in Las Vegas, Nevada; 28 July -- 2 August 1991",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms; covers, fractal, object instancing,
procedural modeling, ray tracing; theory",
subject = "{\bf I.3.7} Computing Methodologies, COMPUTER
GRAPHICS, Three-Dimensional Graphics and Realism,
Fractals. {\bf I.3.5} Computing Methodologies, COMPUTER
GRAPHICS, Computational Geometry and Object Modeling,
Curve, surface, solid, and object representations. {\bf
I.3.7} Computing Methodologies, COMPUTER GRAPHICS,
Three-Dimensional Graphics and Realism, Color, shading,
shadowing, and texture. {\bf I.3.3} Computing
Methodologies, COMPUTER GRAPHICS, Picture/Image
Generation, Display algorithms. {\bf I.3.7} Computing
Methodologies, COMPUTER GRAPHICS, Three-Dimensional
Graphics and Realism, Visible line/surface algorithms.
{\bf I.3.5} Computing Methodologies, COMPUTER GRAPHICS,
Computational Geometry and Object Modeling, Hierarchy
and geometric transformations.",
}
@Article{Hooper:1991:NSI,
author = "Kenneth J. Hooper",
title = "Note on some internal structures of the {Mandelbrot}
Set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "15",
number = "2",
pages = "295--297",
month = "????",
year = "1991",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.91.bib;
Graphics/siggraph/91.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Southern California Edison Co",
affiliationaddress = "San Clemente, CA, USA",
classification = "723; 921",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Chaos Theory --- Research; Complex Planes; Computer
Graphics; Epsilon Cross And Star Trails Methods;
Mandelbrot Set Algorithms; Mandelbrot Set Internal
Structures; Mathematical Techniques --- Set Theory;
Research",
}
@Article{Jones:1991:MSA,
author = "J. G. Jones and R. W. Thomas and P. G. Earwicker and
S. Addison",
title = "Multiresolution statistical analysis of
computer-generated fractal imagery",
journal = j-CVGIP-GMIP,
volume = "53",
number = "4",
pages = "349--363",
month = jul,
year = "1991",
CODEN = "CGMPE5",
ISSN = "1049-9652 (print), 1557-7643 (electronic)",
ISSN-L = "1049-9652",
bibdate = "Sat Sep 14 09:31:19 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cvgip.bib",
acknowledgement = ack-nhfb,
affiliation = "R. Aerosp. Establ., Farnborough, UK",
classification = "C1250 (Pattern recognition); C5260B (Computer vision
and picture processing); C7410F (Communications)",
fjournal = "Computer Vision, Graphics, and Image Processing.
Graphical Models and Image Processing",
journal-URL = "http://www.sciencedirect.com/science/journal/10499652",
keywords = "Bars; Blobs; Computer-generated fractal imagery;
Convolution filters; Julia sets; Mandelbrot sets;
Multiresolution statistical analysis; Natural Earth
backgrounds; Remotely sensed images; Strongly
structured stochastic fields",
thesaurus = "Computer graphics; Computerised picture processing;
Fractals; Statistical analysis",
}
@Article{Klein:1991:TBU,
author = "Michael Klein and Otto E. R{\"o}ssler and J{\"u}rgen
Parisi and Joachim Peinke and Gerold Baier and Claus
Kahlert and John L. Hudson",
title = "Toward a better understanding of fractality in
nature",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "15",
number = "4",
pages = "583--596",
month = "????",
year = "1991",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Fri Feb 07 10:58:41 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of T{\"u}bingen",
affiliationaddress = "T{\"u}bingen, Ger",
classification = "723; 921",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Computer Graphics; Fractals; Mathematical
Techniques--Algorithms",
}
@Article{Loyless:1991:ARA,
author = "James E. Loyless",
title = "Autumn --- {A} recipe for artistic fractal images",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "15",
number = "1",
pages = "87--88",
month = "????",
year = "1991",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.91.bib;
Graphics/siggraph/91.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Simons-Eastern Consultants Inc",
affiliationaddress = "Atlanta, GA, USA",
classification = "723; 921",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Chaos Theory; Computer Art; Computer Graphics;
Fractals; Julia set; Mathematical
Techniques--Algorithms",
}
@Article{Nathan:1991:RBC,
author = "Kathirgama Nathan",
title = "Review: {{\booktitle{Fractals for the Classroom. Part
One: Introduction to Fractals and Chaos}} by H. O.
Peitgen, H. J{\"u}rgens, D. Saupe; \booktitle{Fractals
for the Classroom. Part Two: Complex Systems and
Mandelbrot Set} by H. O. Peitgen, H. J{\"u}rgens, D.
Saupe}",
journal = j-COLLEGE-MATH-J,
volume = "22",
number = "5",
pages = "455--456",
month = nov,
year = "1991",
CODEN = "????",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib",
URL = "http://www.jstor.org/stable/2686611",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
}
@Article{Oliver:1991:FRW,
author = "Dick Oliver",
title = "Fractals in the real world",
journal = j-DDJ,
volume = "16",
number = "4",
pages = "68, 71--72, 74--75, 101--107",
month = apr,
year = "1991",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Tue Sep 10 09:11:02 MDT 1996",
bibsource = "http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
UnCover database",
abstract = "Generate fractal images using this ``fractal
template'' drawing tool.",
acknowledgement = ack-nhfb,
classification = "C6130B (Graphics techniques)",
fjournal = "Dr. Dobb's Journal of Software Tools",
keywords = "'Fractal Grafics'; 'Mandelbrot Set' fractal programs;
Fractal images; Fractal template; Fractals; Geometry;
Mouse-oriented fractal drawing system",
thesaurus = "C listings; Computer graphics; Fractals; Geometry",
}
@Book{Peitgen:1991:FC,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
title = "Fractals for the Classroom",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 128 (vol. 1)",
year = "1991",
DOI = "https://doi.org/10.1007/978-1-4613-9047-3",
ISBN = "0-387-97346-X (vol. 1, New York), 3-540-97346-X (vol.
1, Berlin), 0-387-97722-8 (vol. 2, New York),
3-540-97722-8 (vol. 2, Berlin)",
ISBN-13 = "978-0-387-97346-3 (vol. 1, New York),
978-3-540-97346-1 (vol. 1, Berlin), 978-0-387-97722-5
(vol. 2, New York), 978-3-540-97722-3 (vol. 2,
Berlin)",
LCCN = "QA614.86 .P45 1991",
bibdate = "Wed Jun 24 08:29:35 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
note = "Issued in 1991--1992, with corrected second printing
in 1993--1994.",
price = "US\$24.95 (vol. 1), US\$39.95 (vol. 2)",
abstract = "This first volume of strategic activities is designed
to develop through a hands-on approach, a basic
mathematical understanding and appreciation of
fractals. The concepts presented on fractals include
self-similarity, the chaos game, and complexity as it
relates to fractal dimension. These strategic
activities have been developed from a sound
instructional base, stressing the connections to the
contemporary curriculums recommended in the National
Council of Teachers of Mathematics' Curriculum and
Evaluation Standards for School Mathematics. Where
appropriate the activities take advantage of the
technological power of the graphics calculator. These
activites make excellent extensions to many of the
topics that are already taught in the current
curriculum. Together, they can be used as a complete
unit or as the beginning for a semester course on
fractals.",
acknowledgement = ack-nhfb,
libnote = "Not yet in my library.",
shorttableofcontents = "Slide titles: Broccoli romanesco \\
Sierpinski snail-shell \\
The chaos game \\
Pascal's triangle \\
Sierpinski tetrahedron \\
The Mandelbrot set 3D \\
Secco (Mandelbrot set) \\
Escalante 3D \\
Yellowstone Lake 3D \\
v. 1. Introduction to fractals and chaos (V.1 Pt. 1)
\\
v. 2. Strategic activities (V.2 Pt. 1 ; V.2 Pt. 2)",
tableofcontents = "Unit 1 Self-Similarity \\
Key Objectives, Notions, and Connections \\
Mathematical Background \\
Using the Activities Sheets \\
1.1 Sierpinski Triangle and Variations \\
1.2 Number Patterns and Variations \\
1.3 Square Gasket \\
1.4 Sierpinski Tetrahedron \\
1.5 Trees \\
1.6 Self-Similarity: Basic Properties \\
1.7 Self-Similarity: Specifics \\
1.8 Box Self-Similarity: Grasping the Limit \\
1.9 Pascal's Triangle \\
1.10 Sierpinski Triangle Revisited \\
1.11 New Coloring Rules and Patterns \\
1.12 Cellular Automata \\
Unit 2 The Chaos Game \\
Key Objectives, Notions, and Connections \\
Mathematical Background \\
Using the Activities Sheets \\
2.1 The Chaos Game \\
2.2 Simulating the Chaos Game \\
2.3 Addresses in Triangles and Trees \\
2.4 Chaos Game and Sierpinski Triangle \\
2.5 Chaos Game Analysis \\
2.6 Sampling and the Chaos Game \\
2.7 Probability and the Chaos Game \\
2.8 Trees and the Cantor Set \\
2.9 Trees and the Sierpinski Triangle \\
Unit 3 Complexity \\
Key Objectives, Notions, and Connections \\
Mathematical Background \\
Using the Activities Sheets \\
3.1 Construction and Complexity \\
3.2 Fractal Curves \\
3.3 Curve Fitting \\
3.4 Curve Fitting Using Logs \\
3.5 Curve Fitting Using Technology \\
3.6 Box Dimension \\
3.7 Box Dimension and Coastlines \\
3.8 Box Dimension for Self-Similar Objects \\
3.9 Similarity Dimension \\
Answers",
}
@Article{Pentland:1991:PAF,
author = "Alexander P. Pentland and Bradley Horowitz",
title = "Practical approach to fractal-based image
compression",
journal = j-PROC-SPIE,
volume = "1605",
number = "??",
pages = "467--474",
month = "????",
year = "1991",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@InProceedings{Peyriere:1991:MM,
author = "Jacques Peyri{\`e}re",
title = "Multifractal measures",
crossref = "Byrnes:1992:PSM",
pages = "175--186",
year = "1991",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
}
@Article{Rankin:1991:RBL,
author = "John R. Rankin",
title = "Recursive bisection line algorithm",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "15",
number = "1",
pages = "1--8",
month = "????",
year = "1991",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.91.bib;
Graphics/siggraph/91.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "La Trobe Univ",
affiliationaddress = "Bundoora, Aust",
classification = "723",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Computer Graphics; Computer Programming--Algorithms;
fractal; Fractals; line drawing; Line Drawing
Algorithms; Raster Graphics; Recursive Algorithms",
}
@Article{Rojas:1991:TEC,
author = "Raul Rojas",
title = "A tutorial on efficient computer graphic
representations of the {Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "15",
number = "1",
pages = "91--100",
month = "????",
year = "1991",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database; Graphics/imager/imager.91.bib;
Graphics/siggraph/91.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Technical Univ of Berlin",
affiliationaddress = "Berlin, Ger",
classification = "721; 723; 921",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Automata Theory--Recursive Functions; Chaos Theory;
Computer Graphics; Divide and Conquer Method; Fractals;
Mandelbrot Set; Mathematical Techniques--Algorithms",
}
@Article{Smirnov:1991:NMC,
author = "B. M. Smirnov",
title = "From {Newton} to {Mandelbrot}: concepts in theoretical
physics",
journal = j-SOV-PHYS-USP,
volume = "34",
number = "11",
pages = "1021--1021",
month = nov,
year = "1991",
CODEN = "SOPUAP",
DOI = "https://doi.org/10.1070/PU1991v034n11ABEH002510",
ISSN = "0038-5670",
bibdate = "Sat Sep 08 18:39:38 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://ufn.ru/en/articles/1991/11/h/",
acknowledgement = ack-nhfb,
fjournal = "Soviet Physics. Uspekhi",
journal-URL = "http://iopscience.iop.org/0038-5670",
}
@Article{Steacy:1991:AFP,
author = "Sandra J. Steacy and Charles G. Sammis",
title = "An automaton for fractal patterns of fragmentation",
journal = j-NATURE,
volume = "353",
number = "6341",
pages = "250--252",
day = "19",
month = sep,
year = "1991",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/353250a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v353/n6341/pdf/353250a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Suzuki:1991:GTF,
author = "Masuo Suzuki",
title = "General theory of fractal path integrals with
applications to many-body theories and statistical
physics",
journal = j-J-MATH-PHYS,
volume = "32",
number = "2",
pages = "400--407",
month = feb,
year = "1991",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.529425",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "81S40 (81-08 81V70)",
MRnumber = "92k:81096",
bibdate = "Tue Nov 1 08:57:22 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v32/i2/p400_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "8",
}
@Article{Swehosky:1991:RBC,
author = "Frank J. Swehosky",
title = "Review: {{\booktitle{Transition to Chaos: The Orbit
Diagram and the Mandelbrot Set}} by Robert L.
Devaney}",
journal = j-MATH-TEACH,
volume = "84",
number = "9",
pages = "773--774",
month = "????",
year = "1991",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27967426",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{vanWijk:1991:SNT,
author = "Jarke J. van Wijk",
title = "Spot noise: texture synthesis for data visualization",
journal = j-COMP-GRAPHICS,
volume = "25",
number = "4",
pages = "309--318",
month = jul,
year = "1991",
CODEN = "CGRADI, CPGPBZ",
ISSN = "0097-8930 (print), 1558-4569 (electronic)",
ISSN-L = "0097-8930",
bibdate = "Tue Mar 12 17:52:42 MST 2002",
bibsource = "Graphics/imager/imager.91.bib; http://portal.acm.org/;
http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/122718/p309-van_wijk/",
acknowledgement = ack-nhfb,
conference = "held in Las Vegas, Nevada; 28 July -- 2 August 1991",
fjournal = "Computer Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J166",
keywords = "algorithms, texture synthesis, scientific
visualization, flow visualization, fractals, particle
systems",
subject = "{\bf I.3.7} Computing Methodologies, COMPUTER
GRAPHICS, Three-Dimensional Graphics and Realism,
Color, shading, shadowing, and texture. {\bf I.3.3}
Computing Methodologies, COMPUTER GRAPHICS,
Picture/Image Generation. {\bf I.3.7} Computing
Methodologies, COMPUTER GRAPHICS, Three-Dimensional
Graphics and Realism, Fractals.",
}
@Article{Allouche:1992:RRS,
author = "J.-P. Allouche and J. Shallit",
title = "The ring of $k$-regular sequences",
journal = j-THEOR-COMP-SCI,
volume = "98",
number = "2",
pages = "163--197",
day = "18",
month = may,
year = "1992",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Sat Nov 22 13:24:22 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1990.bib",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4210 (Formal
logic)",
corpsource = "Dept. de Math. et Inf., CNRS, Talence, France",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "analysis of algorithms; automatic sequence;
combinatorics; formal languages; formal power series;
fractals; k-regular sequences; number theory; numerical
analysis; topology; Z-rational formal series",
pubcountry = "Netherlands",
treatment = "B Bibliography; T Theoretical or Mathematical",
}
@Article{Bouras:1992:SDC,
author = "A. Bouras and B. Shariat and D. Vandorpe",
title = "A simple description of complex curves",
journal = j-CGF,
volume = "11",
number = "3",
pages = "C425--C433",
month = "????",
year = "1992",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C6130B (Graphics techniques)",
conflocation = "Cambridge, UK; 7-11 Sept. 1992",
conftitle = "European Association for Computer Graphics 13th Annual
Conference. EUROGRAPHICS 92",
corpsource = "Lab. d'Inf. des Syst. de Production Ind., Univ. Claude
Bernard-Lyon I, Villeurbanne, France",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "complex curves description; Complex curves
description; complex curves description; computational
geometry; computer graphics; Curve arcs; curve arcs;
descriptive universal language; Descriptive universal
language; descriptive universal language; design
environment; fractals; Fractals; fractals; general;
General design environment; including boxes; Including
boxes; polyhedrons; Polyhedrons; solids; Solids;
standard primitives; Standard primitives; Surfaces;
surfaces; topology",
thesaurus = "Computational geometry; Computer graphics; Topology",
treatment = "P Practical",
}
@Article{Brandt:1992:CAC,
author = "Jonathan Brandt and Carlos Cabrelli and Ursula
Molter",
title = "Corrigendum: {``An algorithm for the computation of
the Hutchinson distance''} {[Inform. Process. Lett.
{\bf 40}(2), 25 October 1991, pp. 113--117]}",
journal = j-INFO-PROC-LETT,
volume = "41",
number = "6",
pages = "347--347",
day = "17",
month = apr,
year = "1992",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Sat Feb 01 15:22:43 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib",
note = "See \cite{Brandt:1991:ACH}.",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Daubechies:1992:TSD,
author = "Ingrid Daubechies and Jeffrey C. Lagarias",
title = "Two-scale difference equations. {II}. {Local}
regularity, infinite products of matrices and
fractals",
journal = j-SIAM-J-MATH-ANA,
volume = "23",
number = "4",
pages = "1031--1079",
month = jul,
year = "1992",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "39A10",
MRnumber = "93g:39001",
MRreviewer = "Evangelos Ifantis",
bibdate = "Sun Nov 28 19:25:32 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/23/4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Devaney:1992:BRB,
author = "Robert L. Devaney",
title = "Book Review: {{\booktitle{Fractals: An Animated
Discussion with Edward Lorenz and Beno{\^\i}t
Mandelbrot}} (H.-O. Peitgen, H. Jurgens, D. Saupe, and
C. Zahlten)}",
journal = j-SIAM-REVIEW,
volume = "34",
number = "2",
pages = "333--335",
month = jun,
year = "1992",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1034071",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:55:02 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/34/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/siread/v34/i2/p333/s1;
http://www.jstor.org/stable/2132866",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "June 1992",
}
@Article{Dubuc:1992:CHP,
author = "Serge Dubuc and Abdul Malik",
title = "Convex hull of powers of a complex number, trinomial
equations and the {Farey} sequence",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "1",
pages = "1--32",
month = feb,
year = "1992",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "11Z50 (52A10)",
MRnumber = "92m:11154",
MRreviewer = "M. Mend{\`e}s France",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4130
(Interpolation and function approximation); C4260
(Computational geometry)",
corpsource = "Montreal Univ., Que., Canada",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "color; complex number; computational complexity;
computational geometry; convex hull; distribution
modulo 1; Farey sequence; fractal set; number of
vertices; number theory; poles and zeros; polynomial
zeros; polynomials; trinomial equations",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
xxtitle = "Convex hull powers of a complex number, trinomial
equations and the {Farey} sequence",
}
@Article{Ewing:1992:AMS,
author = "John H. Ewing and Glenn Schober",
title = "The area of the {Mandelbrot} set",
journal = j-NUM-MATH,
volume = "61",
number = "1",
pages = "59--72",
month = feb,
year = "1992",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30-04 (30C30 58-04 58F23)",
MRnumber = "93e:30006",
MRreviewer = "Feliks Przytycki",
bibdate = "Thu Jan 23 07:49:52 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InCollection{Fisher:1992:DFI,
author = "Yuval Fisher",
editor = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
booktitle = "Chaos and Fractals: New Frontiers of Science",
title = "A Discussion of Fractal Image Compression",
chapter = "Appendix A",
type = "app.",
publisher = pub-SV,
address = pub-SV:adr,
pages = "903--919",
year = "1992",
ISBN = "0-387-97903-4",
ISBN-13 = "978-0-387-97903-8",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@Article{Frame:1992:GMS,
author = "Michael Frame and James Robertson",
title = "A generalized {Mandelbrot} set and the role of
critical points",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "16",
number = "1",
pages = "35--40",
month = "????",
year = "1992",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Union Coll",
affiliationaddress = "Schenectady, NY, USA",
classification = "723; 921",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Computer Graphics; Julia Sets; Mandelbrot Set;
Mathematical Techniques--Polynomials",
}
@Article{Frame:1992:NSA,
author = "Michael Frame and A. G. Davis Philip and Adam
Robucci",
title = "A new scaling along the spike of the {Mandelbrot}
set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "16",
number = "2",
pages = "223--234",
month = "Summer",
year = "1992",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Fri Feb 07 11:00:35 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Computer Science Dep Union Coll",
affiliationaddress = "Schenectady, NY, USA",
classification = "723; 921",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Chaos Theory --- Mathematical Models; Mandelbrot Set;
Mathematical Techniques; Mathematical Techniques ---
Geometry; Midgets; Pattern Recognition --- Mathematical
Models; Scalings; Set Theory; Spike",
}
@Article{Garcia-Pelayo:1992:NF,
author = "Ricardo Garc{\'\i}a-Pelayo and William C. Schieve",
title = "Noisy fractals",
journal = j-J-MATH-PHYS,
volume = "33",
number = "2",
pages = "570--577",
month = feb,
year = "1992",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.529791",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "58F11 (26A18 58F08 58F30)",
MRnumber = "92k:58157",
MRreviewer = "M. L. Blank",
bibdate = "Tue Nov 1 08:57:39 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v33/i2/p570_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "8",
}
@Article{Groller:1992:FSM,
author = "E. Groller",
title = "Fractals and solid modeling",
journal = j-CGF,
volume = "11",
number = "3",
pages = "C415--C424, C484--C485",
month = "????",
year = "1992",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C6130B (Graphics techniques)",
conflocation = "Cambridge, UK; 7-11 Sept. 1992",
conftitle = "European Association for Computer Graphics 13th Annual
Conference. EUROGRAPHICS 92",
corpsource = "Inst. fur Computergraphik, Tech. Univ. Wien, Wien,
Austria",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "3D objects; 3D solid micro structure; attribute
grammars; Constructive solid geometry; constructive
solid geometry; CSG-modeling; fractal geometry; Fractal
geometry; fractal macro structure; Fractal macro
structure; fractal macro structure; fractals;
geometric; Geometric grammars; geometrical optics;
geometrically complex objects; Geometrically complex
objects; geometrically complex objects; grammars; high;
High quality images; modelling; quality images; ray
tracing; Ray tracing; ray tracing; solid; solid
modeling; Solid modeling; solid modeling",
thesaurus = "Attribute grammars; Fractals; Geometrical optics;
Solid modelling",
treatment = "P Practical",
}
@Article{Heldt:1992:FDA,
author = "Gregory Heldt",
title = "Fractal Dimension of Airspaces of Preterm Rabbit
Lungs",
journal = j-PEDIATRIC-RES,
volume = "32",
number = "5",
pages = "634--634",
month = nov,
year = "1992",
CODEN = "????",
DOI = "https://doi.org/10.1203/00006450-199211000-00177",
ISSN = "0031-3998 (print), 1530-0447 (electronic)",
ISSN-L = "0031-3998",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/pr/journal/v32/n5/pdf/pr1992452a.pdf",
acknowledgement = ack-nhfb,
fjournal = "Pediatric Research",
journal-URL = "http://www.nature.com/pr/archive/",
}
@Book{Kaufmann:1992:MWE,
author = "Stephan Kaufmann",
title = "{Mathematica als Werkzeug: Eine Einf{\"u}hrung mit
Anwendungsbeispielen}. ({German}) [{Mathematica} as a
tool: an introduction with application examples]",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "396",
year = "1992",
ISBN = "3-7643-2832-0",
ISBN-13 = "978-3-7643-2832-0",
LCCN = "????",
bibdate = "Sun May 02 08:01:22 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
note = "See \cite{Baumann:1996:MTP}.",
acknowledgement = ack-nhfb,
language = "German",
}
@Article{Koh:1992:FGS,
author = "Eng-Kiat Koh and D. D. Hearn",
title = "Fast generation and surface structuring methods for
terrain and other natural phenomena",
journal = j-CGF,
volume = "11",
number = "3",
pages = "C169--C180, C472--C473",
month = "????",
year = "1992",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C6130B (Graphics techniques); C7840 (Geography and
cartography)",
conflocation = "Cambridge, UK; 7-11 Sept. 1992",
conftitle = "European Association for Computer Graphics 13th Annual
Conference. EUROGRAPHICS 92",
corpsource = "Inf. Technol. Inst., Singapore",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "Brownian motion; Clouds; clouds; computational
geometry; Computer graphics; computer graphics;
discrete approximations; Discrete approximations;
discrete approximations; Finite grid plane; finite grid
plane; fractal geometry; Fractal geometry; fractal
geometry; fractional; Fractional Brownian motion;
geography; procedure; recursive random
midpoint-displacement; Recursive random
midpoint-displacement procedure; Terrain-rendering
algorithms; terrain-rendering algorithms; topographical
displays; Topographical displays; topographical
displays; topography (Earth); water; Water; water",
thesaurus = "Brownian motion; Computational geometry; Computer
graphics; Geography; Topography [Earth]",
treatment = "P Practical",
}
@Article{Luo:1992:FCL,
author = "Xiaochun Luo and David N. Schramm",
title = "Fractals and Cosmological Large-Scale Structure",
journal = j-SCIENCE,
volume = "256",
number = "5056",
pages = "513--515",
day = "24",
month = apr,
year = "1992",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.256.5056.513",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/256/5056/513.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Meisel:1992:GMR,
author = "L. V. Meisel",
title = "Generalized {Mandelbrot} rule for fractal sections",
journal = j-PHYS-REV-A,
volume = "45",
pages = "654--??",
year = "1992",
CODEN = "PLRAAN",
ISSN = "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
ISSN-L = "1050-2947",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRA/v45/e654",
acknowledgement = ack-nhfb,
fjournal = "Physical Review A (Atomic, Molecular, and Optical
Physics)",
journal-URL = "http://pra.aps.org/browse",
}
@InCollection{Peitgen:1992:CFNa,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
title = "Chaos and Fractals: New Frontiers of Science",
crossref = "Peitgen:1992:CFNb",
chapter = "5",
pages = "229--296",
year = "1992",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@InCollection{Peitgen:1992:EIS,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
booktitle = "Chaos and Fractals: New Frontiers of Science",
title = "Encoding Images By Simple Transformations",
chapter = "5",
publisher = pub-SV,
address = pub-SV:adr,
pages = "229--296",
year = "1992",
ISBN = "0-387-97903-4",
ISBN-13 = "978-0-387-97903-8",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@Book{Peitgen:1992:FCPa,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
title = "Fractals for the Classroom. Part One: Introduction to
Fractals and Chaos",
publisher = pub-SV,
address = pub-SV:adr-NY,
pages = "xiv + 450",
year = "1992",
ISBN = "0-387-97041-X",
ISBN-13 = "978-0-387-97041-7",
LCCN = "????",
bibdate = "Tue Oct 25 10:42:29 GMT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Peitgen:1992:FCPb,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
title = "Fractals for the Classroom. Part Two: Complex Systems
and {Mandelbrot} Set",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 500",
year = "1992",
ISBN = "0-387-97722-8",
ISBN-13 = "978-0-387-97722-5",
LCCN = "????",
bibdate = "Tue Oct 25 10:42:33 GMT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Philip:1992:FLM,
author = "Kenelm W. Philip",
title = "Field lines in the {Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "16",
number = "4",
pages = "443--447",
month = "Winter",
year = "1992",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of Alaska",
affiliationaddress = "Fairbanks, AK, USA",
classification = "701.1; 723.1; 723.2; 921.1; 921.4; 921.6",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Angle slicing decomposition; Color computer graphics;
Color image processing; Computational methods; Contrast
color lookup table; Electric fields; Field lines;
Fractals; Image processing; Iterative methods;
Mandelbrot set; Nonlinear equations; Set theory;
Spatial frequency doubling; Table lookup",
}
@Article{Sakas:1992:FAV,
author = "G. Sakas and R. Westermann",
title = "A functional approach to the visual simulation of
gaseous turbulence",
journal = j-CGF,
volume = "11",
number = "3",
pages = "C107--C117, C467--C468",
month = "????",
year = "1992",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "A4710 (General theory, simulation and other
computational methods); A4725 (Turbulent flows,
convection, and heat transfer); C6130B (Graphics
techniques); C7320 (Physics and Chemistry)",
conflocation = "Cambridge, UK; 7-11 Sept. 1992",
conftitle = "European Association for Computer Graphics 13th Annual
Conference. EUROGRAPHICS 92",
corpsource = "Tech. Hochschule Darmstadt, Germany",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "2D animation; 3D; 3D animation; animation; Clouds;
clouds; computer animation; computer graphics; Computer
graphics; fire; Fire; fire; flow simulation; fractals;
Functional method; functional method; gaseous
turbulence visual simulation; Gaseous turbulence visual
simulation; parallel; Parallel processing; physics
computing; processing; spectral theory of turbulence;
Spectral theory of turbulence; spectral theory of
turbulence; time-varying fractals; Time-varying
fractals; time-varying fractals; turbulence; turbulent
motion; Turbulent motion; turbulent motion",
thesaurus = "Computer animation; Flow simulation; Fractals;
Parallel processing; Physics computing; Turbulence",
treatment = "P Practical",
}
@Article{Setti:1992:GEH,
author = "Alberto G. Setti",
title = "{Gaussian} estimates for the heat kernel of the
weighted {Laplacian} and fractal measures",
journal = j-CAN-J-MATH,
volume = "44",
number = "??",
pages = "1061--1078",
month = "????",
year = "1992",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1992-065-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
bibdate = "Sat Sep 10 15:39:03 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v44/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Sleeman:1992:ABC,
author = "B. D. Sleeman and Chen Hua",
title = "An analogue of {Berry}'s conjecture for the phase in
fractal obstacle scattering",
journal = j-IMA-J-APPL-MATH,
volume = "49",
number = "3",
pages = "193--202",
month = "????",
year = "1992",
CODEN = "IJAMDM",
ISSN = "0272-4960 (print), 1464-3634 (electronic)",
ISSN-L = "0272-4960",
MRclass = "35P25 (58G18 76Q05)",
MRnumber = "94g:35164",
bibdate = "Tue Dec 26 06:37:59 MST 2000",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/imajapplmath.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
fjournal = "IMA journal of applied mathematics",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
}
@Article{Tsonis:1992:NPW,
author = "A. A. Tsonis and J. B. Elsner",
title = "Nonlinear prediction as a way of distinguishing chaos
from random fractal sequences",
journal = j-NATURE,
volume = "358",
number = "6383",
pages = "217--220",
day = "16",
month = jul,
year = "1992",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/358217a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v358/n6383/pdf/358217a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Wang:1992:FNE,
author = "Bennan Wang and Shi Yin",
title = "The fractal nature of an ecological model",
journal = j-CGF,
volume = "11",
number = "1",
pages = "61--64",
month = mar,
year = "1992",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C4260 (Computational geometry); C6130B (Graphics
techniques)",
corpsource = "Dept. of Syst. Ecol., Res. Centre for Eco-Environ.
Sci., Acad. Sinica, Beijing, China",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "computational geometry; Computer graphics; computer
graphics; convergence maps; Convergence maps;
convergence maps; Ecological model; ecological model;
fractal characteristics; fractals; multi-;
Multi-fractal characteristics; Patterns; patterns",
thesaurus = "Computational geometry; Computer graphics; Fractals",
treatment = "P Practical; T Theoretical or Mathematical",
xxauthor = "Bennan Wang and Yin Shi",
}
@Article{Anonymous:1993:BRB,
author = "Anonymous",
title = "Book Review: {{\booktitle{Transition to Chaos: The
Orbit Diagram and the Mandelbrot Set}}, by Robert L.
Devaney and Hassan Aref}",
journal = j-SIAM-REVIEW,
volume = "35",
number = "2",
pages = "308--??",
month = jun,
year = "1993",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Anonymous:1993:MZW,
author = "Anonymous",
title = "{Mandelbrot} and {Zewail} Win {1993 Wolf Prizes in
Physics, Chemistry}",
journal = j-PHYS-TODAY,
volume = "46",
number = "6",
pages = "109--??",
month = jun,
year = "1993",
CODEN = "PHTOAD",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/phtoad/v46/i6/p109/s1",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@Article{Anonymous:1993:TCO,
author = "Anonymous",
title = "Transition to Chaos: The Orbit Diagram and the
{Mandelbrot} Set, with {Robert L. Devaney and Hassan
Aref}",
journal = j-SIAM-REVIEW,
volume = "35",
number = "2",
pages = "308--??",
month = jun,
year = "1993",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Mon Jan 20 09:29:37 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Aref:1993:RBC,
author = "Hassan Aref",
title = "Review: {{\booktitle{Transition to Chaos: The Orbit
Diagram and the Mandelbrot Set}}, with Robert L.
Devaney}",
journal = j-SIAM-REVIEW,
volume = "35",
number = "2",
pages = "308--309",
month = jun,
year = "1993",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1035058",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:55:12 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/35/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/siread/v35/i2/p308/s1;
http://www.jstor.org/stable/2133149",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "June 1993",
}
@Article{Atela:1993:MSA,
author = "Pau Atela",
title = "The {Mandelbrot} Set and $ \sigma $-Automorphisms of
Quotients of the Shift",
journal = j-TRANS-AM-MATH-SOC,
volume = "335",
number = "2",
pages = "683--703",
month = feb,
year = "1993",
CODEN = "TAMTAM",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2154400",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@InCollection{Barnsley:1993:FMR,
author = "Michael F. Barnsley",
title = "Fractal modelling of real world images",
crossref = "Barnsley:1993:FE",
pages = "219--239",
year = "1993",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
crindex = "DS 516.15 BARN",
keywords = "UCT barcode 1988 03837 401",
}
@Article{Bossomaier:1993:PCH,
author = "Terry Bossomaier and Adrian Loeff",
title = "Parallel computation of the {Hausdorff} distance
between images",
journal = j-PARALLEL-COMPUTING,
volume = "19",
number = "10",
pages = "1129--1140",
month = oct,
year = "1993",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
MRclass = "68U05 (68Q22)",
MRnumber = "1 244 726",
bibdate = "Mon Apr 14 12:07:40 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
acknowledgement = ack-nhfb,
classification = "C4240P (Parallel programming and algorithm theory);
C4260 (Computational geometry); C5220P (Parallel
architecture); C6130B (Graphics techniques)",
corpsource = "Comput. Sci. Lab., Australian Nat. Univ., Canberra,
ACT, Australia",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
keywords = "32-node transputer network; algorithms; computational
geometry; data compression; Euclidean; fractals;
Hausdorff distance; images; linear performance; metric;
parallel; parallel architectures; parallel computation;
simulation",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Brivio:1993:FMD,
author = "P. A. Brivio and D. Marini",
title = "A fractal method for digital elevation model
construction and its application to a mountain region",
journal = j-CGF,
volume = "12",
number = "5",
pages = "297--309",
month = dec,
year = "1993",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C4260 (Computational geometry); C6130B (Graphics
techniques); C7340 (Geophysics)",
corpsource = "Nat. Res. Council, Milan, Italy",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "(Earth); cartography; computational geometry; data;
Data set; DEM; digital elevation model; Digital
elevation model; digital elevation model; fBm; FBm;
fBm; fractal dimension; Fractal dimension; fractal
dimension; Fractal geometry; fractal geometry; Fractal
method; fractal method; fractals; High mountain
profiles; high mountain profiles; high relief terrain
modeling; High relief terrain modeling; high relief
terrain modeling; IFS; mathematical principles;
Mathematical principles; Mountain region; mountain
region; photorealistic rendering; Photorealistic
rendering; photorealistic rendering; self; Self
similarity; set; similarity; Surface relief; surface
relief; topography",
thesaurus = "Cartography; Computational geometry; Fractals;
Topography [Earth]",
treatment = "P Practical",
}
@Article{Culik:1993:AAR,
author = "Karel {Culik II} and Simant Dube",
title = "Affine automata and related techniques for generation
of complex images",
journal = j-THEOR-COMP-SCI,
volume = "116",
number = "2",
pages = "373--398",
day = "16",
month = aug,
year = "1993",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:17:28 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1993&volume=116&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1990.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1993&volume=116&issue=2&aid=1241",
acknowledgement = ack-nhfb,
classification = "C4220 (Automata theory); C4260 (Computational
geometry); C6130B (Graphics techniques)",
corpsource = "Dept. of Comput. Sci., South Carolina Univ., Columbia,
SC, USA",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "affine regular sets; affine transformations; automata
theory; automaton; complex images generation;
computational geometry; computer graphics; fractals;
mutually recursive function systems; probabilistic
affine automata; probabilistic finite generators",
pubcountry = "Netherlands",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Culik:1993:ECW,
author = "K. Culik and S. Dube",
title = "Efficient compression of wavelet coefficients for
smooth and fractal-like data",
journal = j-LECT-NOTES-COMP-SCI,
volume = "665",
number = "??",
pages = "343--??",
month = "????",
year = "1993",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Mon May 13 11:49:00 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Culik:1993:PRS,
author = "Karel {Culik II} and Jarkko Kari",
title = "Parametrized recurrent systems for image generation",
journal = j-INFO-PROC-LETT,
volume = "48",
number = "6",
pages = "267--274",
day = "20",
month = dec,
year = "1993",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68U10",
MRnumber = "94m:68195",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ. of South Carolina",
affiliationaddress = "Columbia, SC, USA",
classification = "723.2; 741; 921; C4260 (Computational geometry);
C5260B (Computer vision and picture processing)",
corpsource = "Dept.of Comput. Sci., South Carolina Univ., Columbia,
SC, USA",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
journalabr = "Inf Process Lett",
keywords = "Attractor; Computational geometry; computational
geometry; Computer graphics; fractals; Image design;
Image generation; image generation; image processing;
Imaging techniques; Mutually recursive function
systems; parameterized recurrent systems; Parametrized
recurrent systems; Recursive functions; variable
transformations",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Davis:1993:SSR,
author = "A. B. Davis and S. Lovejoy and D. Schertzer",
title = "Supercomputer simulation of radiative transfer inside
multifractal cloud models",
crossref = "Keevallik:1993:ICP",
pages = "112--115",
year = "1993",
bibdate = "Mon Aug 26 10:38:41 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
}
@Article{deVries:1993:WLD,
author = "Pedro de Vries and Hans de Raedt and Ad Lagendijk",
title = "Wave localization in disordered and fractal systems",
journal = j-COMP-PHYS-COMM,
volume = "75",
number = "3",
pages = "298--310",
month = may,
year = "1993",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(93)90046-F",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:29:38 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/001046559390046F",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Domaszewicz:1993:SLS,
author = "Jaroslaw Domaszewicz and Vinay A. Vaishampayan",
title = "Structural limitations of self-affine and partially
self-affine fractal compression",
journal = j-PROC-SPIE,
volume = "2094",
number = "??",
pages = "1498--1507",
month = "????",
year = "1993",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
LCCN = "TA1632.N478.1992y",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Engel:1993:MJS,
author = "Alejandro B. Engel",
title = "Morphosis of the {Julia} set of the real parameter
family of complex quadratic maps",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "17",
number = "3",
pages = "315--319",
month = may # "--" # jun,
year = "1993",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Rochester Inst of Technology",
affiliationaddress = "Rochester, NY, USA",
classification = "723.5; 921.4; 921.6",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Color computer graphics; Complex quadratic maps;
Fractals; Iterative methods; Julia sets; Mandelbrot
set; Morphosis; Set theory",
}
@InProceedings{Gharavi-Alkhansari:1993:FBI,
author = "Mohammad Gharavi-Alkhansari and Thomas S. Huang",
editor = "Anonymous",
booktitle = "{PCS'93: 1993 Picture Coding Symposium proceedings,
17--19 March, 1993, Swiss Federal Institute of
Technology, Lausanne, Switzerland}",
title = "A fractal-based image block-coding algorithm",
publisher = "Swiss Federal Institute of Technology",
address = "Lausanne, Switzerland",
pages = "1.7",
month = mar,
year = "1993",
LCCN = "TA1632.P611p 1993",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@Article{Gibbs:1993:PF,
author = "W. Wayt Gibbs",
title = "Practical Fractal",
journal = j-SCI-AMER,
volume = "269",
number = "1",
pages = "107--108",
month = jul,
year = "1993",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0793-107",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/scientificamerican/journal/v269/n1/pdf/scientificamerican0793-107.pdf",
acknowledgement = ack-nhfb,
ajournal = "Sci. Amer.",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Gujar:1993:TGF,
author = "Uday G. Gujar and Virendra C. Bhavsar and Stephen Y.
M. Choi and Prem K. Kalra",
title = "Traversed geometric fractals",
journal = j-IEEE-CGA,
volume = "13",
number = "5",
pages = "61--67",
month = sep,
year = "1993",
CODEN = "ICGADZ",
ISSN = "0272-1716 (print), 1558-1756 (electronic)",
ISSN-L = "0272-1716",
bibdate = "Fri Jan 5 07:58:42 MST 1996",
bibsource = "Graphics/siggraph/93.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeecga.bib",
abstract = "We introduced the concept of traversal strategies to
generate numerous fractal images in contrast to a
single image obtainable otherwise.",
acknowledgement = ack-nhfb,
annote = "We introduce the concept of traversal strategies to
generate numerous fractal images in contrast to a
single image obtainable otherwise.",
fjournal = "IEEE Computer Graphics and Applications",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/cga",
}
@Article{Hurtgen:1993:CFT,
author = "Bernd H{\"u}rtgen",
title = "Contractivity of fractal transforms for image coding",
journal = j-ELECT-LETTERS,
volume = "29",
number = "20",
pages = "1749--1750",
month = sep,
year = "1993",
CODEN = "ELLEAK",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Electronics Letters",
}
@Article{Hurtgen:1993:FHC,
author = "Bernd H{\"u}rtgen and Christoph Stiller",
title = "Fast hierarchical codebook search for fractal coding
of still images",
journal = j-PROC-SPIE,
volume = "1977",
number = "??",
pages = "397--408",
month = apr,
year = "1993",
CODEN = "PSISDG",
ISBN = "0-8194-1223-6",
ISBN-13 = "978-0-8194-1223-2",
ISSN = "????",
ISSN-L = "0277-786X",
LCCN = "R857.P52 V53 1993, TS510.S63 v.1977",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Liu:1993:EFT,
author = "Ying Liu",
title = "Extensions of fractal theory",
journal = j-PROC-SPIE,
volume = "1966",
number = "??",
pages = "255--268",
month = "????",
year = "1993",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
LCCN = "TA1632.N478.1992y",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Murphy:1993:PFH,
author = "Nancey Murphy",
title = "Philosophical fractals: Or, history as
metaphilosophy",
journal = j-STUD-HIST-PHILOS-SCI,
volume = "24",
number = "3",
pages = "501--508",
month = aug,
year = "1993",
CODEN = "SHPSB5",
DOI = "https://doi.org/10.1016/0039-3681(93)90041-H",
ISSN = "0039-3681 (print), 1879-2510 (electronic)",
ISSN-L = "0039-3681",
bibdate = "Sun Nov 6 10:27:50 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/shps-a.bib;
http://www.sciencedirect.com/science/journal/00393681",
URL = "http://www.sciencedirect.com/science/article/pii/003936819390041H",
acknowledgement = ack-nhfb,
fjournal = "Studies in History and Philosophy of Science Part A",
journal-URL = "http://www.sciencedirect.com/science/journal/00393681",
}
@Book{Peitgen:1993:CFN,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
title = "Chaos and Fractals: New Frontiers of Science
(corrected second printing)",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 984, with 686 illustrations, 40 in color",
year = "1993",
ISBN = "0-387-97903-4, 3-540-97903-4",
ISBN-13 = "978-0-387-97903-8, 978-3-540-97903-6",
LCCN = "QA614.86 .P43 1993",
bibdate = "Wed Dec 15 08:05:28 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/texbook2.bib",
price = "US\$49",
acknowledgement = ack-nhfb,
}
@Article{Ratliff:1993:MFI,
author = "Michael I. Ratliff",
title = "{Mandelbrot}'s Functional Iteration and Continued
Fractions",
journal = j-FIB-QUART,
volume = "31",
number = "3",
pages = "263--267",
month = aug,
year = "1993",
CODEN = "FIBQAU",
ISSN = "0015-0517",
ISSN-L = "0015-0517",
bibdate = "Thu Oct 20 18:01:59 MDT 2011",
bibsource = "http://www.fq.math.ca/31-3.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://www.fq.math.ca/Scanned/31-3/ratliff.pdf",
acknowledgement = ack-nhfb,
ajournal = "Fib. Quart",
fjournal = "The Fibonacci Quarterly. Official Organ of the
Fibonacci Association",
journal-URL = "http://www.fq.math.ca/",
}
@Article{Sahimi:1993:FPR,
author = "Muhammad Sahimi",
title = "Flow phenomena in rocks: from continuum models to
fractals, percolation, cellular automata, and simulated
annealing",
journal = j-REV-MOD-PHYS,
volume = "65",
number = "4",
pages = "1393--1534",
month = oct,
year = "1993",
CODEN = "RMPHAT",
DOI = "https://doi.org/10.1103/RevModPhys.65.1393",
ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
ISSN-L = "0034-6861",
bibdate = "Tue May 22 16:37:20 MDT 2012",
bibsource = "http://rmp.aps.org/toc/RMP/v65/i4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/revmodphys1990.bib",
URL = "http://link.aps.org/doi/10.1103/RevModPhys.65.1393;
http://rmp.aps.org/abstract/RMP/v65/i4/p1393_1",
acknowledgement = ack-nhfb,
fjournal = "Reviews of Modern Physics",
journal-URL = "http://rmp.aps.org/browse",
}
@Article{Saka:1993:PSF,
author = "G. Saka and F. Schroder and H.-J. Koppert",
title = "Pseudo-satellite film using fractal clouds to enhance
animated weather forecasting",
journal = j-CGF,
volume = "12",
number = "3",
pages = "C329--C338",
month = "????",
year = "1993",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C6130B (Graphics techniques); C7340 (Geophysics)",
conflocation = "Barcelona, Spain; 6-10 Sept. 1993",
conftitle = "European Association for Computer Graphics 14th Annual
Conference and Exhibition. EUROGRAPHICS '93",
corpsource = "Fraunhofer Inst. for Comput. Graphics, Darmstadt,
Germany",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "animated weather; Animated weather forecasting;
clouds; computer animation; data visualisation;
forecasting; fractal clouds; Fractal clouds; fractals;
geophysics computing; National German Meteorological
Office; pseudo-; pseudo-satellite film;
Pseudo-satellite film; Pseudo-satellite images;
satellite images; simulation data; Television stations;
television stations; TRITON; video sequences; Video
sequences; video sequences; weather forecasting;
Weather forecasting simulation data",
thesaurus = "Clouds; Computer animation; Data visualisation;
Fractals; Geophysics computing; Weather forecasting",
treatment = "P Practical",
}
@Article{Shirriff:1993:IFG,
author = "Ken W. Shirriff",
title = "An investigation of fractals generated by $ z
\rightarrow z^{-n} + c $",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "17",
number = "5",
pages = "603--607",
month = sep # "--" # oct,
year = "1993",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Fri Feb 07 11:06:24 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Univ of California",
affiliationaddress = "Berkeley, CA, USA",
classification = "723.5; 731.4; 921.4; 921.6",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Computer graphics; Cycle periodicity; Fractal
generation; Fractals; Function evaluation; Iterative
methods; Julia sets; Lyapunov exponents; Lyapunov
methods; Set theory",
}
@Article{Sommerer:1993:PFM,
author = "John C. Sommerer and Edward Ott",
title = "Particles Floating on a Moving Fluid: {A} Dynamically
Comprehensible Physical Fractal",
journal = j-SCIENCE,
volume = "259",
number = "5093",
pages = "335--339",
day = "15",
month = jan,
year = "1993",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.259.5093.335",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/259/5093/335.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Young:1993:ICP,
author = "Bong Kim Young and Sub Kim Hoi and Oh Kim Hong and
Yong Shin Sung",
title = "Infinite-corner-point fractal image generation by
{Newton}'s method for solving {$ \exp ( - \alpha \zeta
+ Z / \zeta - Z) - 1 = 0 $}",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "17",
number = "6",
pages = "705--711",
month = nov # "--" # dec,
year = "1993",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Korea Advanced Inst of Science and Technology",
affiliationaddress = "Taejon, S Korea",
classification = "723.5; 921.1; 921.4; 921.6",
conferenceyear = "1993",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Attractors; Chaos theory; Computer graphics;
Convergence of numerical methods; Fractal generation;
Fractals; Function evaluation; Julia sets; Newton's
method; Nonlinear equations; Recursive functions; Root
loci; Set theory; Visualization",
xxauthor = "Young Bong Kim and Hoi Sub Kim and Hong Oh Kim and
Sung Yong Shin",
xxnote = "Issue missing from U of Utah Marriott Library??",
}
@Article{Atiyah:1994:RBM,
author = "Michael Atiyah and Armand Borel and G. J. Chaitin and
Daniel Friedan and James Glimm and others",
title = "Responses to {{\booktitle{Theoretical mathematics:
toward a cultural synthesis of mathematics and
theoretical physics}}, by A. Jaffe and F. Quinn}",
journal = j-BULL-AMS,
volume = "30",
number = "??",
pages = "178--207",
month = "????",
year = "1994",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Sat Sep 8 18:45:02 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
archiveprefix = "arXiv",
eprint = "math/9404229",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
primaryclass = "math-ho",
}
@Article{Balkin:1994:CEC,
author = "Sandy D. Balkin and Elizabeth L. Golebiewski and
Clifford A. Reiter",
title = "Chaos and elliptic curves",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "18",
number = "1",
pages = "113--117",
month = jan # "--" # feb,
year = "1994",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib",
acknowledgement = ack-nhfb,
classification = "723.5; 921.4; 921.6",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Calculations; Chaos theory; Computer graphics;
Elliptic curves; Escape time behavior; Function
evaluation; Iterative methods; Julia sets; Mandelbrot
sets; Number theory; Set theory",
}
@Article{Bradley:1994:CSS,
author = "James Bradley",
title = "A complete {$ {L} $}-system specification for
generating an exact self-affine growth-decay function
with a random walk scaling property",
journal = j-COMP-J,
volume = "37",
number = "1",
pages = "58--66",
month = "????",
year = "1994",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Wed Jul 21 09:54:00 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compj1990.bib;
http://www3.oup.co.uk/computer_journal/Volume_37/Issue_01/Vol37_01.index.html",
URL = "http://www3.oup.co.uk/computer_journal/Volume_37/Issue_01/Vol37_01.body.html#AbstractBradley",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Calgary Univ., Alta., Canada",
author-1-adr = "Department of Computer Science, University of Calgary,
Calgary, Alberta, Canada",
classcodes = "C4260 (Computational geometry)",
classification = "C4260 (Computational geometry)",
corpsource = "Dept. of Comput. Sci., Calgary Univ., Alta., Canada",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "affine time functions; computational geometry;
congruent rotation; Congruent rotation; E5:3 functions;
exact replications; Exact replications; exact self-;
Exact self-affine time functions; fractals; functions;
golden; golden mean; Golden mean; Golden spiral;
growth-decay 12345abc structures; Growth-decay 12345abc
structures; L-system specification; processes; random;
random walk scaling property; Random walk scaling
property; spiral",
thesaurus = "Computational geometry; Fractals; Functions; Random
processes",
treatment = "T Theoretical or Mathematical",
}
@Article{Brune:1994:MTF,
author = "Harald Brune and Christoph Romainczyk and Holger
R{\"o}der and Klaus Kern",
title = "Mechanism of the transition from fractal to dendritic
growth of surface aggregates",
journal = j-NATURE,
volume = "369",
number = "6480",
pages = "469--471",
day = "9",
month = jun,
year = "1994",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/369469a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v369/n6480/pdf/369469a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Casey:1994:SSF,
author = "Stephen D. Casey and Nicholas F. Reingold",
title = "Self-Similar Fractal Sets: Theory and Procedure",
journal = j-IEEE-CGA,
volume = "14",
number = "3",
pages = "73--82",
month = may,
year = "1994",
CODEN = "ICGADZ",
ISSN = "0272-1716 (print), 1558-1756 (electronic)",
ISSN-L = "0272-1716",
bibdate = "Sat Jan 25 06:42:48 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeecga.bib",
abstract = "The algorithm presented here generates approximations
of self-similar fractal sets. A program developed from
the algorithm reproduces Mandelboot's self-similar
fractals.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math. and Stat., American Univ., Washington,
DC, USA",
classification = "723.1; 723.5; 921.4; 921.6",
fjournal = "IEEE Computer Graphics and Applications",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/cga",
journalabr = "IEEE Comput Graphics Appl",
keywords = "Algorithms; Approximation theory; Computer software;
Computers; Fractal geometry; Fractals; Geometry;
Iterative methods; Mathematical models; Numerical
analysis; Pattern rewriting system; Self similar
fractals; Set theory; Visual inspection",
}
@Article{Dixon:1994:DSA,
author = "A. R. Dixon and G. H. Kirby and D. P. M. Wills",
title = "A data structure for artificial terrain generation",
journal = j-CGF,
volume = "13",
number = "1",
pages = "37--47",
month = mar,
year = "1994",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C4260 (Computational geometry); C6120 (File
organisation); C6130B (Graphics techniques); C6160S
(Spatial and pictorial databases); C7340 (Geophysics);
C7840 (Geography and cartography)",
corpsource = "Dept. of Comput. Sci., Hull Univ., UK",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "artificial terrain; Artificial terrain; artificial
terrain; artificial terrain generation; Artificial
terrain generation; computational geometry; computer
graphics; Computer graphics; computer graphics;
consistency; Data structure; data structure;
edge-based; Edge-based data structure; fractal; Fractal
geometry; fractal geometry; Fractal modelling;
fractals; Fractional Brownian motion; fractional
Brownian motion; geographic information systems;
geophysics computing; Hexagons; hexagons; modelling;
neighbouring polygons; Neighbouring polygons;
neighbouring polygons; polygons; Polygons; polygons;
polyhedral; Polyhedral data structure; polyhedral data
structures; Polyhedral data structures; quadrilateral;
Quadrilateral; quadrilateral; random midpoint
displacement; Random midpoint displacement; recursive
subdivision; recursive subdivision algorithms;
Recursive subdivision algorithms; recursive subdivision
algorithms; Recursive subdivision techniques; spatial
data; Spatial data consistency; spatial data
structures; techniques; Triangles; triangles",
thesaurus = "Computational geometry; Computer graphics; Fractals;
Geographic information systems; Geophysics computing;
Spatial data structures",
treatment = "A Application; P Practical",
}
@Article{Dixon:1994:TCD,
author = "A. R. Dixon and G. H. Kirby and D. P. M. Wills",
title = "Towards Context Dependent Interpolation of Digital
Elevation Models",
journal = j-CGF,
volume = "13",
number = "3",
pages = "C/23--C/32",
month = "????",
year = "1994",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Mon Apr 14 10:23:20 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4130 (Interpolation and function approximation)C7340
(Geophysics); C4260 (Computational geometry); C6130B
(Graphics techniques); C7340 (Geophysics computing);
C7460 (Aerospace engineering computing); C7460
(Aerospace engineering); C7840 (Geography and
cartography computing); C7840 (Geography and
cartography)",
conflocation = "Oslo, Norway; 12-16 Sept. 1994",
conftitle = "15th Annual Conference and Exhibition.
EUROGRAPHICS'94",
corpsource = "Dept. of Comput. Sci., Hull Univ., UK",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
keywords = "aerospace simulation; Artificial terrain generation;
artificial terrain generation; cartography;
computational geometry; computer graphics; context
dependent interpolation; Context dependent
interpolation; Digital elevation models; digital
elevation models; fBm model; FBm model; Flight
simulation; flight simulation; fractal; Fractal
geometry; fractals; fractional Brownian motion;
Fractional Brownian motion; geometry; Interdependence;
interdependence; interpolation; natural phenomena;
Natural phenomena; neighbouring points; Neighbouring
points; Recursive subdivision algorithm; recursive
subdivision algorithm; run-time; Run-time storage
requirements; spatial resolution; Spatial resolution;
spatial resolution; storage requirements",
thesaurus = "Aerospace simulation; Cartography; Computational
geometry; Computer graphics; Fractals; Interpolation",
treatment = "P Practical",
}
@Article{Egolf:1994:RBF,
author = "David A. Egolf and Henry S. Greenside",
title = "Relation between fractal dimension and spatial
correlation length for extensive chaos",
journal = j-NATURE,
volume = "369",
number = "6476",
pages = "129--131",
day = "12",
month = may,
year = "1994",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/369129a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v369/n6476/pdf/369129a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Fisher:1994:CFM,
author = "Y. Fisher and T. P. Shen and D. Rogovin",
title = "A comparison of fractal methods with discrete cosine
transform ({DCT}) and wavelets",
journal = j-PROC-SPIE,
volume = "2304-16",
number = "??",
pages = "132--143",
day = "28--29",
month = jul,
year = "1994",
CODEN = "PSISDG",
ISSN = "0277-786X (print), 1996-756X (electronic)",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
URL = "http://inls.ucsd.edu/y/Fractals/spie.ps",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Huillet:1994:CSS,
author = "Thierry Huillet and Bernard Jeannet",
title = "On a class of ``skewed'' self-similar and hyperbolic
fractals",
journal = j-J-MATH-PHYS,
volume = "35",
number = "12",
pages = "6511--6524",
month = dec,
year = "1994",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.530688",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "28A80 (60K05)",
MRnumber = "95i:28003",
bibdate = "Tue Nov 1 08:58:20 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v35/i12/p6511_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "14",
}
@Article{Jones:1994:FM,
author = "David Jones",
title = "Fractal money",
journal = j-NATURE,
volume = "370",
number = "6490",
pages = "510--510",
day = "18",
month = aug,
year = "1994",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/370510a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v370/n6490/pdf/370510a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Kokol:1994:SSC,
author = "P. Kokol",
title = "The self-similarity and computer programs",
journal = j-SIGPLAN,
volume = "29",
number = "1",
pages = "9--12",
month = jan,
year = "1994",
CODEN = "SINODQ",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Fri Apr 24 18:36:02 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/sigplan1990.bib",
acknowledgement = ack-nhfb,
classification = "C6130B (Graphics techniques); C6130D (Document
processing techniques)",
corpsource = "Fac. of Tech. Sci., Maribor Univ., Slovenia",
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
keywords = "computer graphics; computer programs; fractals;
operators; reserved words; scientific areas;
self-similarity; word processing",
treatment = "P Practical",
}
@Article{Linde:1994:SRI,
author = "Andrei Linde",
title = "The Self-Reproducing Inflationary Universe",
journal = j-SCI-AMER,
volume = "271",
number = "5",
pages = "48--?? (Intl. ed. 32--39)",
month = nov,
year = "1994",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Thu Jan 28 14:31:51 MST 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
abstract = "Modern cosmological theory involves more than just a
big bang. In the first instant after the explosive
origin, the universe expanded many times faster than
the speed of light to become the immense space observed
today. An originator of this idea explains how that
expansion occurred, as well as a mind-boggling
corollary: this universe is only one of an infinite
swarm constantly replenishing itself.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Phys., Stanford Univ., CA, USA",
classification = "A9880D (Theoretical cosmology)",
corpsource = "Dept. of Phys., Stanford Univ., CA, USA",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
keywords = "cosmology; fractals; Self-generating fractal;
self-generating fractal; Self-reproducing inflationary
universe; self-reproducing inflationary universe",
thesaurus = "Cosmology; Fractals",
treatment = "T Theoretical or Mathematical",
xxjournal = j-SCI-AMER-INT-ED,
xxnewdata = "1998.01.30",
}
@Article{McCloskey:1994:TUR,
author = "John McCloskey and C. J. Bean",
title = "Temporally Unstable Recurrence of Earthquakes Due to
Breaks in Fractal Scaling",
journal = j-SCIENCE,
volume = "266",
number = "5184",
pages = "410--412",
day = "21",
month = oct,
year = "1994",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.266.5184.410",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/266/5184/410.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{McFarlane:1994:ODR,
author = "I. McFarlane and S. G. Hoggar",
title = "Optimal Drivers for the `Random' Iteration Algorithm",
journal = j-COMP-J,
volume = "37",
number = "7",
pages = "629--640",
month = "????",
year = "1994",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Wed Jul 21 09:54:13 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compj1990.bib;
http://www3.oup.co.uk/computer_journal/Volume_37/Issue_07/Vol37_07.index.html",
URL = "http://www3.oup.co.uk/computer_journal/Volume_37/Issue_07/Vol37_07.body.html#AbstractMcFarlane",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Math., Glasgow Univ., UK",
author-1-adr = "Department of Mathematics, Glasgow Caledonian
University, Cowcaddens Road, Glasgow G4 OBA, UK",
author-2-adr = "Department of Mathematics, Glasgow Caledonian
University, Cowcaddens Road, Glasgow G4 OBA, UK",
classcodes = "C4130 (Interpolation and function approximation);
C1160 (Combinatorial mathematics)",
classification = "C1160 (Combinatorial mathematics); C4130
(Interpolation and function approximation)",
corpsource = "Dept. of Math., Glasgow Univ., UK",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "algebra; Attractors; attractors; Collage algorithm;
collage algorithm; finite field; Finite field theory;
fractals; generator driver; Iterated function system;
iterated function system; iterative methods; Latin
squares; Minimal length sequences; minimal length
sequences; Multiplication; multiplication; number;
number generation; Number generator driver; Optimal
drivers; optimal drivers; optimisation; random; Random
iteration algorithm; random iteration algorithm;
theory",
thesaurus = "Algebra; Fractals; Iterative methods; Optimisation;
Random number generation",
treatment = "T Theoretical or Mathematical",
}
@Article{Metzler:1994:MQM,
author = "Wolfgang Metzler",
title = "The ``mystery'' of the quadratic {Mandelbrot} set",
journal = j-AMER-J-PHYSICS,
volume = "62",
pages = "813--??",
year = "1994",
CODEN = "AJPIAS",
ISSN = "0002-9505 (print), 1943-2909 (electronic)",
ISSN-L = "0002-9505",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/ajpias/v62/i9/p813/s1",
acknowledgement = ack-nhfb,
fjournal = "American Journal of Physics",
journal-URL = "http://scitation.aip.org/content/aapt/journal/ajp",
}
@Article{Nakayama:1994:DPF,
author = "Tsuneyoshi Nakayama and Kousuke Yakubo and Raymond L.
Orbach",
title = "Dynamical properties of fractal networks: Scaling,
numerical simulations, and physical realizations",
journal = j-REV-MOD-PHYS,
volume = "66",
number = "2",
pages = "381--443",
month = apr,
year = "1994",
CODEN = "RMPHAT",
DOI = "https://doi.org/10.1103/RevModPhys.66.381",
ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
ISSN-L = "0034-6861",
bibdate = "Tue May 22 16:37:21 MDT 2012",
bibsource = "http://rmp.aps.org/toc/RMP/v66/i2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/revmodphys1990.bib",
URL = "http://link.aps.org/doi/10.1103/RevModPhys.66.381;
http://rmp.aps.org/abstract/RMP/v66/i2/p381_1",
acknowledgement = ack-nhfb,
fjournal = "Reviews of Modern Physics",
journal-URL = "http://rmp.aps.org/browse",
}
@Article{Peskin:1994:MED,
author = "C. S. Peskin and D. M. McQueen",
title = "Mechanical equilibrium determines the fractal fiber
architecture of the aortic heart valve leaflets",
journal = j-AM-J-PHYSIOL,
volume = "266",
number = "1",
pages = "H319--H328",
month = jan,
year = "1994",
CODEN = "AJPHAP",
ISSN = "0002-9513 (print), 2163-5773 (electronic)",
ISSN-L = "0002-9513",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/csmmepcb.bib",
fjournal = "American journal of physiology",
}
@Article{Philip:1994:WMM,
author = "A. G. Davis Philip and Michael Frame and Adam
Robucci",
title = "Warped midgets in the {Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "18",
number = "2",
pages = "239--248",
month = mar # "--" # apr,
year = "1994",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Wed Feb 5 07:22:58 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "Union Coll and Van Vleck Observatory",
affiliationaddress = "Schenectady, NY, USA",
classification = "722.2; 723.1; 723.5; 921.4; 921.6",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Algorithms; Angular distortion; Calculations; Cardioid
atoms; Computer graphics; Computer software; Computer
terminals; Conformal mapping; Convergence of numerical
methods; Geometry; Iteration; Iterative methods; Linear
distortion; Mandelbrot set; Sea horse valley; Tendrils;
Warped midgets",
}
@Article{Pickover:1994:APG,
author = "Clifford A. Pickover",
title = "Automatic parallel generation of {Aeolian} fractals on
the {IBM Power Visualization System}",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "18",
number = "3",
pages = "407--416",
month = may # "--" # jun,
year = "1994",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Mar 25 13:40:59 MST 1997",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
acknowledgement = ack-nhfb,
affiliation = "IBM T. J. Watson Research Cent",
affiliationaddress = "Yorktown Heights, NY, USA",
classcodes = "C6130B (Graphics techniques); C6110P (Parallel
programming)",
classification = "721.1; 722.4; 723.2; 723.5; 741.2; 921.4",
conferenceyear = "1994",
corpsource = "IBM T. J. Watson Res. Center, Yorktown Heights, NY,
USA",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Aeolian fractals; aesthetically appealing fractal
patterns; automatic parallel generation; Automatic
parallel generation; automatic parameter; C listings;
Computational complexity; Computational methods;
computer graphics; Computer graphics; Computer
hardware; Computer software; Computer vision; data
visualisation; fractals; Fractals; IBM computers; IBM
Power Visualization System; IBM Power Visualization
Systems; Iterative methods; microcomputer applications;
parallel; parallel graphics computer; Parallel
processing systems; pattern generation; Pattern
recognition; personal computers; Personal computers;
programming; selection; Set theory",
treatment = "P Practical",
}
@Article{Rice:1994:FC,
author = "Sean Rice",
title = "Fractal Colonies",
journal = j-SCIENCE,
volume = "266",
number = "5185",
pages = "664--665",
day = "28",
month = oct,
year = "1994",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.266.5185.664-a",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/266/5185/664.2.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Sloan:1994:LBR,
author = "Alan D. Sloan",
title = "Low-bit-rate fractal image coding",
journal = j-PROC-SPIE,
volume = "2239",
number = "??",
pages = "210--213",
month = "????",
year = "1994",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
LCCN = "TA1632.N478.1992y",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Vlad:1994:SRG,
author = "Marcel Ovidiu Vlad",
title = "Stochastic renormalization group approach to random
point processes. {A} fractal generalization of
{Poisson} statistics",
journal = j-J-MATH-PHYS,
volume = "35",
number = "2",
pages = "796--807",
month = feb,
year = "1994",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.530612",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "60G55",
MRnumber = "1 257 548",
bibdate = "Tue Nov 1 08:58:08 MDT 2011",
bibsource = "http://jmp.aip.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1990.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v35/i2/p796_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
pagecount = "12",
}
@Article{Westgaard:1994:MA,
author = "Odin Westgaard",
title = "A {Mandelbrot} analog",
journal = j-PERFORM-INSTR,
volume = "33",
number = "8",
pages = "14--16",
month = sep,
year = "1994",
CODEN = "PEISEL",
DOI = "https://doi.org/10.1002/pfi.4160330805",
ISSN = "0884-1985 (print), 1932-0116 (electronic)",
ISSN-L = "0884-1985",
bibdate = "Sat Sep 08 19:17:46 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/pfi.4160330805/abstract",
acknowledgement = ack-nhfb,
fjournal = "Performance + Instruction",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1932-0166",
onlinedate = "12 Feb 2007",
}
@Article{Wood:1994:GDC,
author = "Christopher M. Wood",
title = "General data compression algorithm for space images
using fractal techniques",
journal = j-PROC-SPIE,
volume = "2198",
number = "??",
pages = "1336--1341",
month = "????",
year = "1994",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
LCCN = "TA1632.N478.1992y",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Woolley:1994:RDP,
author = "Stuart J. Woolley and Donald M. Monro",
title = "Rate-distortion performance of fractal transforms for
image compression",
journal = j-FRACTALS,
volume = "2",
number = "3 (or 6??)",
pages = "395--398",
month = "????",
year = "1994",
CODEN = "FRACEG",
ISSN = "0218-348X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
URL = "http://dmsun2.bath.ac.uk:8080/people/papers/montreal.ps.gz",
fjournal = "Fractals",
journal-URL = "http://www.worldscientific.com/loi/fractals",
}
@Article{Zhao:1994:ICU,
author = "Y. Zhao and B. Yuan",
title = "Image compression using fractals and discrete cosine
transform",
journal = j-ELECT-LETTERS,
volume = "30",
number = "6",
pages = "474--475",
month = mar,
year = "1994",
CODEN = "ELLEAK",
ISSN = "0013-5194 (print), 1350-911X (electronic)",
ISSN-L = "0013-5194",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Electronics Letters",
}
@Article{Abbott:1995:RBC,
author = "Steve Abbott",
title = "Review: {{\booktitle{Fractals for the Classroom. Part
One: Introduction to Fractals and Chaos}} by H. O.
Peitgen, H. J{\"u}rgens, D. Saupe; \booktitle{Fractals
for the Classroom. Part Two: Complex Systems and
Mandelbrot Set} by H. O. Peitgen, H. J{\"u}rgens, D.
Saupe}",
journal = j-MATH-GAZ,
volume = "79",
number = "484",
pages = "200",
month = mar,
year = "1995",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3620080",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}
@Book{Anonymous:1995:SHBb,
editor = "Anonymous",
title = "Symposium in Honor of {Beno{\^\i}t Mandelbrot}",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "i--xii + 629--914",
year = "1995",
ISSN = "0218-348X",
LCCN = "????",
MRclass = "00B30",
MRnumber = "1410282 (97c:00060)",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Held in Cura{\c{c}}ao, February 2--4, 1995, Fractals
{{\bf{3}}} (1995), no. 4",
acknowledgement = ack-nhfb,
}
@Article{Bani-Eqbal:1995:ESF,
author = "Behnam Bani-Eqbal",
title = "Enhancing the speed of fractal image compression",
journal = j-OPTICAL-ENG,
volume = "34",
number = "6",
pages = "1705--1710",
month = jun,
year = "1995",
CODEN = "OPEGAR",
ISSN = "0091-3286 (print), 1560-2303 (electronic)",
ISSN-L = "0091-3286",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
URL = "ftp://links.uwaterloo.ca/pub/Fractals/Papers/bani95.ps.gz",
fjournal = "Optical Engineering",
}
@Article{Bani-Eqbal:1995:SFI,
author = "Behnam Bani-Eqbal",
title = "Speeding up fractal image compression",
journal = j-PROC-SPIE,
volume = "2418",
number = "??",
pages = "67--74",
month = feb,
year = "1995",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Bisoi:1995:NRM,
author = "A. K. Bisoi",
title = "{Newton Raphson} method, scaling at fractal boundaries
and {MATHEMATICA}",
journal = j-MATH-COMP-MODELLING,
volume = "21",
number = "10",
pages = "91--102",
month = "????",
year = "1995",
CODEN = "MCMOEG",
ISSN = "0895-7177 (print), 1872-9479 (electronic)",
ISSN-L = "0895-7177",
MRclass = "65D99",
MRnumber = "1 335 594",
bibdate = "Sat Jan 13 19:45:17 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical and computer modelling",
}
@Article{Bohman:1995:HIC,
author = "J. Bohman and C.-E. Fr{\"o}berg",
title = "Heuristic investigation of chaotic mapping producing
fractal objects",
journal = j-BIT-NUM-MATH,
volume = "35",
number = "4",
pages = "609--615",
month = dec,
year = "1995",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01739831",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "28A80 (30B10 30B20 30D05 58F13)",
MRnumber = "97k:28016",
MRreviewer = "Remo Badii",
bibdate = "Wed Jan 4 18:52:24 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=35&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit35.html;
http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=35&issue=4&spage=609",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{David:1995:TFB,
author = "Hollister David",
title = "Two fractals based on {Keplerian} solids",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "19",
number = "6",
pages = "885--888",
month = nov # "--" # dec,
year = "1995",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:29 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1995&volume=19&issue=6;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1995&volume=19&issue=6&aid=9500075",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Drewes:1995:GSA,
author = "F. Drewes and A. Habel and H.-J. Kreowski and S.
Taubenberger",
title = "Generating self-affine fractals by collage grammars",
journal = j-THEOR-COMP-SCI,
volume = "145",
number = "1--2",
pages = "159--187",
day = "10",
month = jul,
year = "1995",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:19:12 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1995&volume=145&issue=1-2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1995&volume=145&issue=1-2&aid=1759",
acknowledgement = ack-nhfb,
classification = "C4210L (Formal languages and computational
linguistics); C6130B (Graphics techniques); C6180 (User
interfaces)",
corpsource = "Fachbereich Math. und Inf., Bremen Univ., Germany",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "circles; collage grammars; computer graphics; fractal
pattern; fractals; generalized Sierpinski grammars;
grammars; hyperedge replacement; line segments;
polygons; polyhedra; self-affine fractals;
self-similarity; syntactic devices",
pubcountry = "Netherlands",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Erzan:1995:FST,
author = "A. Erzan and L. Pietronero and A. Vespignani",
title = "The fixed-scale transformation approach to fractal
growth",
journal = j-REV-MOD-PHYS,
volume = "67",
number = "3",
pages = "545--604",
month = jul,
year = "1995",
CODEN = "RMPHAT",
DOI = "https://doi.org/10.1103/RevModPhys.67.545",
ISSN = "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
ISSN-L = "0034-6861",
bibdate = "Tue May 22 16:37:22 MDT 2012",
bibsource = "http://rmp.aps.org/toc/RMP/v67/i3;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/revmodphys1990.bib",
URL = "http://link.aps.org/doi/10.1103/RevModPhys.67.545;
http://rmp.aps.org/abstract/RMP/v67/i3/p545_1",
acknowledgement = ack-nhfb,
fjournal = "Reviews of Modern Physics",
journal-URL = "http://rmp.aps.org/browse",
}
@Article{Ewing:1995:CWS,
author = "John Ewing",
title = "Can We See the {Mandelbrot} Set?",
journal = j-COLLEGE-MATH-J,
volume = "26",
number = "2",
pages = "90--99",
month = mar,
year = "1995",
CODEN = "????",
DOI = "https://doi.org/10.1080/07468342.1995.11973676",
ISSN = "0746-8342 (print), 1931-1346 (electronic)",
ISSN-L = "0746-8342",
bibdate = "Thu Feb 14 09:51:54 MST 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/collegemathj.bib",
URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.1995.11973676",
acknowledgement = ack-nhfb,
fjournal = "College Mathematics Journal",
journal-URL = "https://maa.tandfonline.com/loi/ucmj20;
https://www.jstor.org/journal/collmathj",
onlinedate = "30 Jan 2018",
}
@Article{Fernau:1995:VLA,
author = "Henning Fernau",
title = "Valuations of languages, with applications to fractal
geometry",
journal = j-THEOR-COMP-SCI,
volume = "137",
number = "2",
pages = "177--217",
day = "23",
month = jan,
year = "1995",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:18:46 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1995&volume=137&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1995&volume=137&issue=2&aid=1690",
acknowledgement = ack-nhfb,
classification = "C4210L (Formal languages and computational
linguistics); C4260 (Computational geometry); C6130B
(Graphics techniques)",
corpsource = "Lehrstuhl Inf. f{\"u}r Ingenieure und
Naturwissenschaftler, Karlsruhe Univ., Germany",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "Bernoulli morphisms; computational geometry;
context-free grammars; context-free languages;
Euclidean spaces; formal languages; fractal geometry;
fractals; Hausdorff dimension; morphisms; valuations of
languages",
pubcountry = "Netherlands",
treatment = "P Practical; T Theoretical or Mathematical",
}
@InProceedings{Forte:1995:TGF,
author = "Bruno Forte and Edward Vrscay",
title = "Theory of generalized fractal transforms",
crossref = "Fisher:1995:NAF",
month = jul,
year = "1995",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@Article{Giarrusso:1995:PPH,
author = "Dante Giarrusso and Yuval Fisher",
title = "A Parameterization of the Period 3 Hyperbolic
Components of the {Mandelbrot} Set",
journal = j-PROC-AM-MATH-SOC,
volume = "123",
number = "12",
pages = "3731--3737",
month = dec,
year = "1995",
CODEN = "PAMYAR",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2161901",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
}
@InProceedings{Hamzaoui:1995:CCS,
author = "Raouf Hamzaoui",
title = "Codebook clustering by self-organizing maps for
fractal image compression",
crossref = "Fisher:1995:NAF",
month = jul,
year = "1995",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
URL = "ftp://ftp.informatik.uni-freiburg.de/papers/fractal/Hamz95.ps.gz",
}
@InProceedings{Hart:1995:SHC,
author = "John C. Hart and Wayne O. Cochran and Patrick J.
Flynn",
title = "Similarity Hashing: a computer vision solution to the
inverse problem of linear fractals",
crossref = "Fisher:1995:NAF",
month = jul,
year = "1995",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib;
https://www.math.utah.edu/pub/tex/bib/hash.bib",
}
@Article{Hough:1995:EAM,
author = "S. E. Hough",
title = "Earthquakes in the {Los Angeles} Metropolitan Region:
{A} Possible Fractal Distribution of Rupture Size",
journal = j-SCIENCE,
volume = "267",
number = "5195",
pages = "211--213",
day = "13",
month = jan,
year = "1995",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.267.5195.211",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/267/5195/211.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@InProceedings{Hurtgen:1995:SEF,
author = "Bernd H{\"u}rtgen",
booktitle = "Proceedings ICIP-95 (IEEE International Conference on
Image Processing)",
title = "Statistical evaluation of fractal coding schemes",
volume = "III",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "280--283",
month = oct,
year = "1995",
LCCN = "TK8315.I222 1995",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@InProceedings{Kim:1995:NFI,
author = "Chang-Su Kim and Rin-Chul Kim and Sang-Uk Lee",
title = "Novel fractal image compression method with
non-iterative decoder",
crossref = "IEEE:1995:IPI",
volume = "III",
pages = "268--271",
month = oct,
year = "1995",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@Article{Kominek:1995:CRF,
author = "John Kominek",
title = "Codebook reduction in fractal image compression",
journal = j-PROC-SPIE,
volume = "2669",
number = "??",
pages = "33--41",
month = "????",
year = "1995",
CODEN = "PSISDG",
ISBN = "0-8194-2043-3",
ISBN-13 = "978-0-8194-2043-5",
ISSN = "????",
ISSN-L = "0277-786X",
LCCN = "TS510.S63 v.2669",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Liu:1995:IBC,
author = "Ying Liu",
title = "Image block coding using exact solutions of fractal
equations",
journal = j-PROC-SPIE,
volume = "2488",
number = "??",
pages = "135--149",
month = "????",
year = "1995",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Liu:1995:SFE,
author = "Ying Liu",
title = "Solution of fractal equation",
journal = j-PROC-SPIE,
volume = "2418",
number = "??",
pages = "48--59",
month = "????",
year = "1995",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Nehlig:1995:FQA,
author = "P. W. Nehlig and J.-P. Reveilles",
title = "Fractals and Quasi-Affine Transformations",
journal = j-CGF,
volume = "14",
number = "2",
pages = "147--158 (or 147--157??)",
month = jun,
year = "1995",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Tue Mar 17 15:44:38 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "Universit{\'e} Louis Pasteur",
affiliationaddress = "Strasbourg, Fr",
classification = "721.1; 723.2; 723.5; 921; 921.3; 921.4; C1160
(Combinatorial mathematics); C4260 (Computational
geometry)",
corpsource = "Centre de Recherches en Informatique, Univ. Louis
Pasteur, Strasbourg, France",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
journalabr = "Comput Graphics Forum",
keywords = "Algorithms; Computational geometry; computational
geometry; Computational methods; Computer graphics;
contracting affine; Contracting affine transformations;
Data structures; Digital arithmetic; Discrete geometry;
discrete geometry; discretization; Discretization;
Dynamical systems; Dynamical systems, Quasi-affine
transformations; Fractal curves; Fractal images;
fractal images; Fractals; fractals; Fractals; fractals;
integer transformation; Integer transformation; integer
transformation; Iterative methods; Mathematical
transformations; Quasi affine transformations;
quasi-affine transformations; rendering; Rendering;
transformations",
thesaurus = "Computational geometry; Fractals",
treatment = "T Theoretical or Mathematical",
}
@Article{Nettleton:1995:EF,
author = "David John Nettleton and Roberto Garigliano",
title = "Evolving fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "19",
number = "5",
pages = "779--782",
month = sep # "--" # oct,
year = "1995",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:25 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1995&volume=19&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1995&volume=19&issue=5&aid=9500058",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Pickover:1995:CFB,
author = "Clifford A. Pickover",
title = "The crying of fractal {Batrachion} 1,489",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "19",
number = "4",
pages = "611--615",
month = jul # "--" # aug,
year = "1995",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:20 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1995&volume=19&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1995&volume=19&issue=4&aid=9500039",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Prodinger:1995:SPY,
author = "H. Prodinger",
title = "Solution of a Problem of {Yekutieli} and
{Mandelbrot}",
journal = j-LECT-NOTES-COMP-SCI,
volume = "911",
number = "??",
pages = "461--??",
month = "????",
year = "1995",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sun Oct 25 11:10:34 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Vlad:1995:GFA,
author = "Marcel Ovidiu Vlad and Michael C. Mackey",
title = "Generating functional approach to multichannel
parallel relaxation with application to the problem of
direct energy transfer in fractal systems with dynamic
disorder",
journal = j-J-MATH-PHYS,
volume = "36",
number = "4",
pages = "1834--1853",
month = apr,
year = "1995",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "82C05",
MRnumber = "95m:82086",
MRreviewer = "Paul Krapivsky",
bibdate = "Fri Jan 2 07:23:17 MST 1998",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Wu:1995:RSR,
author = "En-Hua Wu",
title = "A Radiosity Solution for Random Fractal Surfaces",
journal = j-J-VIS-COMP-ANIMATION,
volume = "6",
number = "4",
pages = "219--230 (or 219--229??)",
month = oct # "--" # dec,
year = "1995",
CODEN = "JVCAEO",
ISSN = "1049-8907 (print), 1099-1778 (electronic)",
ISSN-L = "1049-8907",
bibdate = "Tue Jun 3 08:05:21 MDT 1997",
bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Graphics/rad.bib.gz;
ftp://ftp.ira.uka.de/pub/bibliography/Graphics/siggraph/1995.bib.gz;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
telnet sigggraph.org: login biblio",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4260
(Computational geometry); C6130B (Graphics
techniques)",
corpsource = "Inst. of Comput. Technol., Acad. Sinica, Beijing,
China",
fjournal = "Journal of Visualization and Computer Animation",
keywords = "brightness; computational geometry; diffuse
interreflection; energy shooting process; fractal
geometry; fractal subdivision; fractals; natural
phenomena; progressive refinement procedure; radiosity
redistribution; radiosity solution; random fractal
surfaces; random fractals; ray tracing; ray tracing
methods; recursive process; rendering (computer
graphics); specular illumination; stochastic modeling;
stochastic modelling; visual realism",
treatment = "P Practical",
}
@Book{Baumann:1996:MTP,
author = "Gerd Baumann",
title = "{Mathematica} in Theoretical Physics: selected
examples from classical mechanics to fractals",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 384",
year = "1996",
ISBN = "0-387-94424-9",
ISBN-13 = "978-0-387-94424-1",
LCCN = "QC20.7.E4B3813 1996",
bibdate = "Fri Nov 08 13:54:38 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
note = "Revised, translated, expanded and updated edition of
\cite{Kaufmann:1992:MWE}",
price = "US\$59.00",
acknowledgement = ack-nhfb,
}
@Article{Blackmore:1996:GFD,
author = "Denis Blackmore and Jack G. Zhou",
title = "A general fractal distribution function for rough
surface profiles",
journal = j-SIAM-J-APPL-MATH,
volume = "56",
number = "6",
pages = "1694--1719",
month = dec,
year = "1996",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
MRclass = "82B41",
MRnumber = "97i:82043",
bibdate = "Wed Dec 10 09:59:46 MST 1997",
bibsource = "Compendex database;
http://epubs.siam.org/sam-bin/dbq/toc/SIAP/56/6;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/28312",
acknowledgement = ack-nhfb,
affiliation = "New Jersey Inst of Technology",
affiliationaddress = "NJ, USA",
classification = "921; 921.6; 931.2",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
journalabr = "SIAM J Appl Math",
keywords = "Approximation theory; Bearing area curve; Distribution
functions; Fractals; Mathematical models; Surface
profiles; Surface properties; Surface roughness;
Topothesy",
}
@Article{Camp:1996:RBF,
author = "Dane R. Camp",
title = "Review: {{\booktitle{The Fractal Geometry of Nature}},
by Beno{\^\i}t B. Mandelbrot}",
journal = j-MATH-TEACH,
volume = "89",
number = "3",
pages = "256",
month = mar,
year = "1996",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27969730",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{Carlson:1996:PDR,
author = "Paul W. Carlson",
title = "Pseudo-{$3$-D} rendering methods for fractals in the
complex plane",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "20",
number = "5",
pages = "751--758",
month = sep # "--" # oct,
year = "1996",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:51 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=5&aid=9600048",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Casey:1996:UDT,
author = "Stephen D. Casey",
title = "Using dimension theory to analyze and classify the
generation of fractal sets",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "20",
number = "5",
pages = "731--749",
month = sep # "--" # oct,
year = "1996",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:51 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=5&aid=9600047",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Caso:1996:FMF,
author = "Gregory Caso and Pere Obrador and C.-C. J. Kuo",
title = "Fast methods for fractal image encoding",
journal = j-PROC-SPIE,
volume = "2501",
number = "??",
pages = "583--594",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Caso:1996:NRF,
author = "Gregory Caso and C.-C. J. Kuo",
title = "New results for fractal\slash wavelet image
compression",
journal = j-PROC-SPIE,
volume = "2727",
number = "??",
pages = "536--547",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Davis:1996:IIM,
author = "Geoffrey Davis",
title = "Implicit image models in image fractal compression",
journal = j-PROC-SPIE,
volume = "2569",
number = "??",
pages = "88--97",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISBN = "0-8194-2213-4",
ISBN-13 = "978-0-8194-2213-2",
ISSN = "????",
ISSN-L = "0277-786X",
LCCN = "TS510.S63 v.2825",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Book{Devaney:1996:FGM,
author = "Robert L. Devaney",
title = "Fractal geometry of the {Mandelbrot} set",
publisher = "Key Curriculum Press",
address = "Berkeley, CA, USA",
year = "1996",
ISBN = "1-55953-224-6",
ISBN-13 = "978-1-55953-224-2",
LCCN = "QA614.86 .F732 1996",
bibdate = "Mon Sep 10 13:59:42 MDT 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "One videocassette (70 min.)",
abstract = "Devaney shows how the swirling Mandelbrot set is
generated from a simple quadratic equation. Explores
various patterns and order within the chaos. Using
supercomputer animation, explores exploding Julia
sets.",
acknowledgement = ack-nhfb,
subject = "Fractals",
tableofcontents = "pt. 1. Iteration and the Mandelbrot set (31 min.)
\\
pt. 2. The Mandelbrot set and Julia sets (39 min.)",
}
@Article{deVega:1996:SGE,
author = "H. J. de Vega and N. S{\'a}nchez and F. Combes",
title = "Self-gravity as an explanation of the fractal
structure of the interstellar medium",
journal = j-NATURE,
volume = "383",
number = "6595",
pages = "56--58",
day = "5",
month = sep,
year = "1996",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/383056a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v383/n6595/pdf/383056a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Dixon:1996:GGA,
author = "Stephen L. Dixon and Kevin L. Steele and Robert P.
Burton",
title = "Generation and graphical analysis of {Mandelbrot} and
{Julia} sets in more than four dimensions",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "20",
number = "3",
pages = "451--456",
month = may # "--" # jun,
year = "1996",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:42 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=3&aid=9600015",
acknowledgement = ack-nhfb,
affiliation = "Brigham Young Univ",
affiliationaddress = "Provo, UT, USA",
classification = "721.1; 723.5; 921.4; 921.6",
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
journalabr = "Comput Graphics (Pergamon)",
keywords = "Computer graphics; Four dimensions; Fractals;
Graphical analysis; Hypercomplex number systems;
Iterative methods; Mandelbrot and Julia sets; Number
theory; Numerical analysis; Set theory",
}
@Article{Ewing:1996:CJF,
author = "Gary J. Ewing and Christopher J. Woodruff",
title = "Comparison of {JPEG} and fractal-based image
compression on target acquisition by human observers",
journal = j-OPTICAL-ENG,
volume = "35",
number = "1",
pages = "284--288",
month = jan,
year = "1996",
CODEN = "OPEGAR",
ISSN = "0091-3286 (print), 1560-2303 (electronic)",
ISSN-L = "0091-3286",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Optical Engineering",
}
@InProceedings{Faloutsos:1996:MSD,
author = "Christos Faloutsos and Yossi Matias and Abraham
Silberschatz",
title = "Modeling Skewed Distribution Using Multifractals and
the `$ 80 $--$ 20 $' Law",
crossref = "Vijayaraman:1996:PTS",
pages = "307--317",
year = "1996",
bibdate = "Fri Jan 12 07:50:35 MST 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
http://www.vldb.org/dblp/db/conf/vldb/vldb96.html",
URL = "http://www.vldb.org/dblp/db/conf/vldb/FaloutsosMS96.html",
acknowledgement = ack-nhfb,
annote = "Also known as VLDB '96",
authorurl = "http://www.vldb.org/dblp/db/indices/a-tree/f/Faloutsos:Christos.html;
http://www.vldb.org/dblp/db/indices/a-tree/m/Matias:Yossi.html;
http://www.vldb.org/dblp/db/indices/a-tree/s/Silberschatz:Abraham.html",
keywords = "very large data bases; VLDB",
}
@Article{Grant-Duff:1996:PH,
author = "Z. N. Grant-Duff and P. G. Harrison",
title = "Parallelism via homomorphisms",
journal = j-PARALLEL-PROCESS-LETT,
volume = "6",
number = "2",
pages = "279--295",
month = jun,
year = "1996",
CODEN = "PPLTEE",
ISSN = "0129-6264 (print), 1793-642X (electronic)",
bibdate = "Mon Apr 14 09:48:53 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/parallelprocesslett.bib",
acknowledgement = ack-nhfb,
classification = "C4240P (Parallel programming and algorithm theory);
C6110F (Formal methods); C6140D (High level
languages)",
corpsource = "Dept. of Comput., Imperial Coll. of Sci., Technol. and
Med., London, UK",
countrypub = "Singapore",
fjournal = "Parallel Processing Letters",
journal-URL = "http://www.worldscientific.com/loi/ppl",
keywords = "algorithms; decompression; first-come-first-served
queue; formal specification; fractal-based algorithm;
functional languages; high level functional language;
homomorphisms; image; logarithmic parallel simulation;
parallel; parallelism; server; single; specifications",
treatment = "P Practical",
}
@Article{Hallee:1996:RBF,
author = "Alan P. Hallee",
title = "Review: {{\booktitle{The Fractal Geometry of the
Mandelbrot Set}} by Robert L. Devaney}",
journal = j-MATH-TEACH,
volume = "89",
number = "6",
pages = "518--518",
month = "????",
year = "1996",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27969886",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@InProceedings{Hamzaoui:1996:EFI,
author = "Raouf Hamzaoui and Martin M{\"u}ller and Dietmar
Saupe",
booktitle = "IEEE Digital Signal Processing Workshop",
title = "Enhancing fractal image compression with Vector
Quantization",
publisher = pub-IEEE,
address = pub-IEEE:adr,
month = sep,
year = "1996",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
note = "Preprint",
URL = "ftp://ftp.informatik.uni-freiburg.de/papers/fractal/HaMuSa96b.ps.gz",
}
@InProceedings{Hamzaoui:1996:VEF,
author = "Raouf Hamzaoui and Martin M{\"u}ller and Dietmar
Saupe",
booktitle = "Proceedings ICIP-96 (IEEE International Conference on
Image Processing)",
title = "{VQ}-enhanced fractal image compression",
volume = "I",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "153--156",
month = sep,
year = "1996",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
URL = "ftp://ftp.informatik.uni-freiburg.de/papers/fractal/HaMuSa96a.ps.gz",
}
@Article{Jackson:1996:PAD,
author = "David Jeff Jackson and Greg Scott Tinney",
title = "Performance analysis of distributed implementations of
a fractal image compression algorithm",
journal = j-CPE,
volume = "8",
number = "5",
pages = "357--386",
month = jun,
year = "1996",
CODEN = "CPEXEI",
ISSN = "1040-3108 (print), 1096-9128 (electronic)",
ISSN-L = "1040-3108",
bibdate = "Tue Sep 7 06:06:25 MDT 1999",
bibsource = "http://www.interscience.wiley.com/jpages/1040-3108/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cpe.bib;
http://www3.interscience.wiley.com/journalfinder.html",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=23284",
acknowledgement = ack-nhfb,
fjournal = "Concurrency, practice and experience",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/%28ISSN%291532-0634/issues",
}
@Article{Jackson:1996:PPF,
author = "David Jeff Jackson and Wagdy Mahmoud",
title = "Parallel pipelined fractal image compression using
quadtree recomposition",
journal = j-COMP-J,
volume = "39",
number = "1",
pages = "1--13",
month = "????",
year = "1996",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Wed Jul 21 09:54:42 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compj1990.bib;
http://www3.oup.co.uk/computer_journal/Volume_39/Issue_01/Vol39_01.index.html",
URL = "http://www.oup.co.uk/jnls/list/comjnl/hdb/Volume_39/Issue_01/390001.sgm.abs.html;
http://www3.oup.co.uk/computer_journal/Volume_39/Issue_01/Vol39_01.body.html#AbstractJackson",
acknowledgement = ack-nhfb,
classcodes = "B6140C (Optical information, image and video signal
processing); B6120B (Codes); C5260B (Computer vision
and image processing techniques); C6110P (Parallel
programming); C6120 (File organisation)",
corpsource = "Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL,
USA",
email-1 = "jjackson@tiger.carl.ua.edu",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
keywords = "circular; circulating pipeline computation;
compression ratios; data compression; fractal coding;
fractals; image; image coding; iterative; linear
processor array; nCUBE-2; parallel algorithms; parallel
pipelined fractal image compression; parallel runtime
performance; pipeline processing; quadtree; quadtree
decomposition scheme; quadtree image sub-blocks;
quadtrees; recombination; recomposition; reconstructed
image fidelity; reconstruction; signal to noise ratios;
software performance evaluation; supercomputer",
treatment = "P Practical; X Experimental",
}
@Article{Jan:1996:SIE,
author = "Jinn-Ke Jan and Yuh-Min Tseng",
title = "On the security of image encryption method",
journal = j-INFO-PROC-LETT,
volume = "60",
number = "5",
pages = "261--265",
day = "8",
month = dec,
year = "1996",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "94A60 (68P25)",
MRnumber = "97k:94033",
bibdate = "Fri Oct 25 18:39:09 2002",
bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
classification = "B6120B (Codes); B6140C (Optical information, image
and video signal processing); C1250 (Pattern
recognition); C1260 (Information theory); C6130S (Data
security)",
corpsource = "Inst. of Appl. Math., Nat. Chung-Hsing Univ.,
Taichung, Taiwan",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "2D gray scale images; 2D image transposition
encryption; cipher-sequential data; cryptographic
schemes; cryptography; fractals; image coding; image
encryption method; image transposition; plain-image
data; security; two dimensional gray scale images;
unique key",
treatment = "T Theoretical or Mathematical",
}
@Article{Kuroda:1996:FBM,
author = "Hideo Kuroda and Dan C. Popescu and Hong Yan",
title = "Fast block matching method for image data compression
based on fractal models",
journal = j-PROC-SPIE,
volume = "2501",
number = "??",
pages = "1257--1266",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Lin:1996:PLF,
author = "Huawu Lin and Anastasios N. Venetsanopoulos",
title = "Perceptually lossless fractal image compression",
journal = j-PROC-SPIE,
volume = "2727",
number = "??",
pages = "1394--1399",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Loew:1996:APM,
author = "Murray H. Loew and Dunling Li and Raymond L.
Pickholtz",
title = "Adaptive {PIFS} model in fractal image compression",
journal = j-PROC-SPIE,
volume = "2707",
number = "??",
pages = "284--293",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Lulek:1996:GIF,
author = "T. Lulek and R. Olchawa",
title = "Geometric interpretation of fractal symmetries of a
finite linear chain",
journal = j-J-MATH-PHYS,
volume = "37",
number = "5",
pages = "2472--2483",
month = may,
year = "1996",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
MRclass = "82D25",
MRnumber = "97f:82044",
MRreviewer = "Philippe Audit",
bibdate = "Fri Jan 2 07:23:17 MST 1998",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{McGregor:1996:FFC,
author = "D. R. McGregor and R. J. Fryer and P. Cockshott and P.
Murray",
title = "Faster Fractal Compression",
journal = j-DDJ,
volume = "21",
number = "1",
pages = "34, 36, 38--40",
month = jan,
year = "1996",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Thu Jan 9 09:35:43 MST 1997",
bibsource = "Compendex database;
http://www.ddj.com/index/author/index.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Comput. Sci., Strathclyde Univ.",
affiliationaddress = "Glasgow, Scotl",
classification = "721.1; 722.1; 722.4; 723.2; 921.3; C1130 (Integral
transforms); C1180 (Optimisation techniques); C1250
(Pattern recognition); C4240C (Computational
complexity); C5260B (Computer vision and image
processing techniques); C6130 (Data handling
techniques)",
fjournal = "Dr. Dobb's Journal of Software Tools",
journalabr = "Dr Dobb's J Software Tools Prof Program",
keywords = "Algorithms; Associative storage; Computational
complexity; Compute cost; Data structures; Fast Fourier
transforms; Fast fractal transform; Fractal
compression; Fractal image compression; Fractals; High
compression ratios; Image compression; Image
reconstruction; Optimization techniques; Response time
(COMPUTER systems)",
pagecount = "5",
thesaurus = "Computational complexity; Data compression; Fractals;
Image reconstruction; Optimisation; Transforms",
}
@Article{Morcrette:1996:EDF,
author = "Michelle Morcrette",
title = "Sur l'{\'e}quivalence de descriptions de figures
iter{\'e}es. ({French}) [{On} the equivalence of
descriptions of iterative figures]",
journal = j-THEOR-COMP-SCI,
volume = "165",
number = "2",
pages = "325--354",
day = "10",
month = oct,
year = "1996",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:20:16 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1996&volume=165&issue=2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1996&volume=165&issue=2&aid=2167",
acknowledgement = ack-nhfb,
classification = "C4210 (Formal logic); C4220 (Automata theory)",
corpsource = "Inst. Blaise Pascal, Paris VI Univ., France",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "endomorphism; finite automata; fractal sets; fractals;
free semigroup; IFS; Kiesswetter curve; recurrent
model; recurrent set method; recurrent sets; recursive
functions; regular languages; von Koch curve",
language = "French",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Perline:1996:ZLC,
author = "Richard Perline",
title = "{Zipf}'s law, the {Central Limit Theorem}, and the
random division of the unit interval",
journal = j-PHYS-REV-E,
volume = "54",
number = "1",
pages = "220--223",
day = "1",
month = jul,
year = "1996",
CODEN = "PLEEE8",
DOI = "https://doi.org/10.1103/PhysRevE.54.220",
ISSN = "1539-3755 (print), 1550-2376 (electronic)",
ISSN-L = "1539-3755",
bibdate = "Tue Feb 26 06:40:57 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://link.aps.org/doi/10.1103/PhysRevE.54.220",
acknowledgement = ack-nhfb,
fjournal = "Physical Review E (Statistical physics, plasmas,
fluids, and related interdisciplinary topics)",
journal-URL = "http://pre.aps.org/browse",
keywords = "Mandelbrot's monkey-at-the-typewriter model of Zipf's
inverse power law; Zipf's Law",
}
@Article{Pumar:1996:ZTI,
author = "M. A. Pumar",
title = "Zooming of terrain imagery using fractal-based
interpolation",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "20",
number = "1",
pages = "171--176",
month = jan # "--" # feb,
year = "1996",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:33 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=1&aid=9500102",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Radai:1996:CAM,
author = "Yisrael Radai",
title = "Computer art from the {Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "20",
number = "6",
pages = "925--926",
month = nov # "--" # dec,
year = "1996",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:17:55 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1996&volume=20&issue=6;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1996&volume=20&issue=6&aid=9600062",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Redmill:1996:GAF,
author = "David W. Redmill and David R. Bull and Ralph R.
Martin",
title = "Genetic algorithms for fast search in fractal image
coding",
journal = j-PROC-SPIE,
volume = "2727",
number = "??",
pages = "1367--1376",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@InProceedings{Saupe:1996:EFI,
author = "Dietmar Saupe and Matthias Ruhl",
booktitle = "Proceedings ICIP-96 (IEEE International Conference on
Image Processing)",
title = "Evolutionary fractal image compression",
volume = "I",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "129--132",
month = sep,
year = "1996",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@InProceedings{Saupe:1996:FSI,
author = "Dietmar Saupe",
booktitle = "Proceedings ICIP-96 (IEEE International Conference on
Image Processing)",
title = "The futility of square isometries in fractal image
compression",
volume = "I",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "161--164",
month = sep,
year = "1996",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@InProceedings{Saupe:1996:LAF,
author = "Dietmar Saupe and Hannes Hartenstein",
booktitle = "Proceedings ICIP-96 (IEEE International Conference on
Image Processing)",
title = "Lossless acceleration of fractal image compression by
fast convolution",
volume = "I",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "185--188",
month = sep,
year = "1996",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
}
@Article{Saupe:1996:LDP,
author = "Dietmar Saupe",
title = "Lean domain pools for fractal image compression",
journal = j-PROC-SPIE,
volume = "2669",
number = "??",
pages = "150--157",
month = jan,
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Signes:1996:RCS,
author = "Julien Signes",
title = "Reducing the codebook size in fractal image
compression by geometrical analysis",
journal = j-PROC-SPIE,
volume = "2727",
number = "??",
pages = "1400--1409",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Staiger:1996:CSW,
author = "Ludwig Staiger",
title = "Codes, simplifying words, and open set condition",
journal = j-INFO-PROC-LETT,
volume = "58",
number = "6",
pages = "297--301",
day = "24",
month = jun,
year = "1996",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
MRclass = "68Q45 (20M05 94B35)",
MRnumber = "97f:68101",
MRreviewer = "Dong Yang Long",
bibdate = "Wed Nov 11 12:16:26 MST 1998",
bibsource = "http://www.elsevier.com:80/inca/publications/store/5/0/5/6/1/2/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography1990.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc1990.bib",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); B6120B (Codes);
C1160 (Combinatorial mathematics); C4210L (Formal
languages and computational linguistics)",
corpsource = "Inst. f{\"u}r Inf., Martin-Luther-Univ.,
Halle-Wittenberg, Germany",
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
keywords = "Canter space; code messages; codes; deciphering delay;
finite alphabet; formal language theory; formal
languages; fractals; geometry; infinite strings;
iterated function systems; open set condition;
simplifying words",
treatment = "T Theoretical or Mathematical",
}
@Article{Tempczyk:1996:FGC,
author = "Michal Tempczyk",
title = "Fractal geometry --- The case of a rapid career",
journal = j-INT-STUD-PHILOS-SCI,
volume = "10",
number = "1",
pages = "53--65",
year = "1996",
CODEN = "????",
DOI = "https://doi.org/10.1080/02698599608573529",
ISSN = "0269-8595 (print), 1469-9281 (electronic)",
ISSN-L = "0269-8595",
bibdate = "Tue Sep 25 15:11:41 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/intstudphilossci.bib",
URL = "http://www.tandfonline.com//doi/abs/10.1080/02698599608573529",
acknowledgement = ack-nhfb,
ajournal = "Int. Stud. Philos. Sci.",
fjournal = "International Studies in the Philosophy of Science",
keywords = "Imre Lakatos; Beno{\^\i}t Mandelbrot",
onlinedate = "09 Jun 2008",
}
@Article{Titkov:1996:SBF,
author = "Bronislav Titkov and Anatoli Tikhotskij and Alexandr
Myboroda and Helmut Buley",
title = "Structure-based fractal image coding",
journal = j-PROC-SPIE,
volume = "2952",
number = "??",
pages = "652--663",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@InProceedings{Uhl:1996:PIC,
author = "A. Uhl and J. Hammerle",
title = "Parallel image compression on a workstation cluster
using {PVM}",
crossref = "Bode:1996:PVM",
pages = "301--??",
year = "1996",
bibdate = "Wed Apr 16 06:39:19 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib",
acknowledgement = ack-nhfb,
classification = "B6120B (Codes); B6140C (Optical information, image
and video signal processing); C1250 (Pattern
recognition); C4240P (Parallel programming and
algorithm theory); C5440 (Multiprocessing systems)",
corpsource = "Dept. of Comput. Sci. and Syst. Anal., Salzburg Univ.,
Austria",
keywords = "data compression; FDDI; fractal image compression;
image coding; interconnected workstation-cluster;
parallel algorithms; parallel image compression;
parallel machines; parallel meta-algorithm; PVM;
virtual machines; workstation cluster",
pubcountry = "Germany",
treatment = "A Application; P Practical",
}
@Article{Walter:1996:OFC,
author = "Malcolm Walter",
title = "Old fossils could be fractal frauds",
journal = j-NATURE,
volume = "383",
number = "6599",
pages = "385--386",
day = "3",
month = oct,
year = "1996",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/383385a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v383/n6599/pdf/383385a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Wang:1996:PIF,
author = "Zhou Wang and Ying-Lin Yu",
title = "Partial iterated function system-based fractal image
coding",
journal = j-PROC-SPIE,
volume = "2751",
number = "??",
pages = "42--49",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Zair:1996:FMU,
author = "Chems Eddine Zair and Eric Tosan",
title = "Fractal Modeling using Free Form Techniques",
journal = j-CGF,
volume = "15",
number = "3",
pages = "C269--C278",
month = sep,
year = "1996",
CODEN = "CGFODY",
ISSN = "0167-7055 (print), 1467-8659 (electronic)",
ISSN-L = "0167-7055",
bibdate = "Tue Mar 17 15:44:38 MST 1998",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
affiliation = "LIGIM",
affiliationaddress = "Villeurbanne, Fr",
classification = "723.5; 921; 921.1; 921.4; 921.6; C4130
(Interpolation and function approximation); C4260
(Computational geometry); C6130B (Graphics
techniques)",
conference = "Proceedings of the 1996 17th Annual Conference and
Exhibition of the European Association for Computer
Graphics, EUROGRAPHICS'96",
conflocation = "Poitiers, France; 26-30 Aug. 1996",
conftitle = "European Association for Computer Graphics 17th Annual
Conference and Exhibition. EUROGRAPHICS '96",
corpsource = "LIGIM, Villeurbanne, France",
fjournal = "Com{\-}pu{\-}ter Graphics Forum",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8659/",
journalabr = "Comput Graphics Forum",
keywords = "Attractors; attractors; Attractors; attractors; Bezier
curve; B{\'e}zier curve; complex self-similar figure
generation; Computational geometry; computational
geometry; Computational geometry; Computer graphics;
computer graphics; Computer graphics; computer
graphics; control points; controlled fractal
attractors; deformation; fractal; Fractal modeling;
fractal modeling; Fractal modeling; fractal modeling;
Fractal shape; fractal shape; Fractals; fractals;
Fractals; Free form techniques; free form techniques;
Free form techniques; free form techniques; Functions;
global attractor; IFS models; Iterated function system;
Iterative methods; iterative methods; Iterative
methods; iterative methods; Mathematical models; Matrix
algebra; parametric forms; set construction; smooth
man-made objects; Subdivision matrix",
meetingaddress = "Poitiers, Fr",
meetingdate = "Aug 26--30 1996",
meetingdate2 = "08/26--30/96",
sponsor = "CNRS; ERCIM; BARCO; EDF; SUN; et al",
sponsororg = "CNRS; BARCO; Electr. France; et al",
treatment = "T Theoretical or Mathematical",
}
@Article{Zhang:1996:HFI,
author = "Zhengbing Zhang and Yaoting Zhu and Guangxi Zhu and
Hanqiang Cao and Donghui Xue",
title = "Hybrid fractal image coding method",
journal = j-PROC-SPIE,
volume = "2727",
number = "??",
pages = "1360--1366",
month = "????",
year = "1996",
CODEN = "PSISDG",
ISSN = "????",
ISSN-L = "0277-786X",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
fjournal = "Proceedings of the SPIE --- The International Society
for Optical Engineering",
}
@Article{Alfonseca:1997:SRF,
author = "M. Alfonseca and A. Ortega",
title = "A study of the representation of fractal curves by
{$L$} systems and their equivalences",
journal = j-IBM-JRD,
volume = "41",
number = "6",
pages = "727--736",
month = nov,
year = "1997",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Mon Feb 12 08:11:06 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib;
http://www.research.ibm.com/journal/",
URL = "http://www.almaden.ibm.com/journal/rd/416/alfonseca.html",
acknowledgement = ack-nhfb,
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
}
@Article{Allouche:1997:ADS,
author = "J.-P. Allouche and F. von Haeseler and H.-O. Peitgen
and A. Petersen and G. Skordev",
title = "Automaticity of double sequences generated by
one-dimensional linear cellular automata",
journal = j-THEOR-COMP-SCI,
volume = "188",
number = "1--2",
pages = "195--209",
day = "30",
month = nov,
year = "1997",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:21:22 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=188&issue=1-2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=188&issue=1-2&aid=2498",
acknowledgement = ack-nhfb,
classification = "C4220 (Automata theory)",
corpsource = "LRI, CNRS, Orsay, France",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "$k$-automatic; cellular automata; double sequences
automaticity; one-dimensional linear cellular
automata",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Baines:1997:FDF,
author = "Peter G. Baines",
title = "Fluid dynamics: a fractal world of cloistered waves",
journal = j-NATURE,
volume = "388",
number = "6642",
pages = "518--519",
day = "7",
month = aug,
year = "1997",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/41429",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v388/n6642/full/388518a0.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Chen:1997:DIF,
author = "Yan Qiu Chen and Guoan Bi",
title = "{$3$-D IFS} fractals as real-time graphics model",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "21",
number = "3",
pages = "367--370",
month = may # "--" # jun,
year = "1997",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:18:08 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1997&volume=21&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_sub/browse/browse.cgi?year=1997&volume=21&issue=3&aid=9700014",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Esposito:1997:IIS,
author = "Dino Esposito",
title = "Inside {Iterated Systems' Fractal Development Kit} ---
The {Fractal Development Kit} from {Iterated Systems}
is a library that makes it possible for you to embed
fractal-imaging capabilities into {C\slash C++}
{Windows} and {Macintosh} applications",
journal = j-DDJ,
volume = "22",
number = "1",
pages = "74--??",
month = jan,
year = "1997",
CODEN = "DDJOEB",
ISSN = "1044-789X",
bibdate = "Fri Jan 3 06:17:24 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Dr. Dobb's Journal of Software Tools",
}
@Article{Fleury:1997:BFP,
author = "Vincent Fleury",
title = "Branched fractal patterns in non-equilibrium
electrochemical deposition from oscillatory nucleation
and growth",
journal = j-NATURE,
volume = "390",
number = "6656",
pages = "145--148",
day = "13",
month = nov,
year = "1997",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/36522",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v390/n6656/full/390145a0.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Fromhold:1997:FRT,
author = "Mark Fromhold",
title = "Fractal resistance in a transistor",
journal = j-NATURE,
volume = "386",
number = "6621",
pages = "123--125",
day = "13",
month = mar,
year = "1997",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/386123a0",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v386/n6621/pdf/386123a0.pdf",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Jackson:1997:SYE,
author = "David J. Jackson and Chris W. Humphres",
title = "A simple yet effective load balancing extension to the
{PVM} software system",
journal = j-PARALLEL-COMPUTING,
volume = "22",
number = "12",
pages = "1647--1660",
day = "21",
month = feb,
year = "1997",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibdate = "Fri Aug 6 10:14:46 MDT 1999",
bibsource = "Compendex database;
http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=22&issue=12;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=22&issue=12&aid=1112",
acknowledgement = ack-nhfb,
affiliation = "Univ of Alabama",
affiliationaddress = "AL, USA",
classification = "722.1; 722.2; 722.4; 723; 723.1; 723.2; C4140
(Linear algebra); C5260B (Computer vision and image
processing techniques); C6110P (Parallel programming);
C6150E (General utility programs); C6150N (Distributed
systems software)",
corpsource = "Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL,
USA",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
journalabr = "Parallel Comput",
keywords = "algorithms; application program interfaces; coding;
Computer programming; Computer software; data
compression; Data storage equipment; Distributed
computer systems; host CPU load information; image;
Image compression; information gathering; load; load
balancing; load balancing extension; Load balancing
process; master process; matrix algebra; matrix
oriented; NAS parallel benchmarks; parallel; parallel
algorithms; Parallel algorithms; parallel algorithms;
parallel fractal image compression algorithm; Parallel
processing systems; parallel runtime performance;
Parallel virtual machine; process spawn; processes;
programming; programming interface; PVM software
system; resource allocation; Response time (computer
systems); slave; User interfaces",
pubcountry = "Netherlands",
treatment = "P Practical",
}
@Article{Jaffard:1997:MFFa,
author = "S. Jaffard",
title = "Multifractal Formalism for Functions. {Part I}:
Results Valid for All Functions",
journal = j-SIAM-J-MATH-ANA,
volume = "28",
number = "4",
pages = "944--970",
month = jul,
year = "1997",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/S0036141095282991",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "28A80 (28A78 42C15 76F99)",
MRnumber = "1 453 315",
bibdate = "Sun Nov 28 19:26:42 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/28/4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/28299",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Jaffard:1997:MFFb,
author = "S. Jaffard",
title = "Multifractal Formalism for Functions. {Part II}:
Self-Similar Functions",
journal = j-SIAM-J-MATH-ANA,
volume = "28",
number = "4",
pages = "971--998",
month = jul,
year = "1997",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/S0036141095283005",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "28A80 (28A78 42C15 76F99)",
MRnumber = "1 453 316",
bibdate = "Sun Nov 28 19:26:42 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/28/4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/28300",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Landini:1997:PBF,
author = "G. Landini",
title = "Is periodontal breakdown a fractal process?
{Simulations} using the {Weierstrass--Mandelbrot}
function",
journal = j-J-PERIODONTAL-RES,
volume = "32",
number = "3",
pages = "300--307",
month = apr,
year = "1997",
CODEN = "JPDRAY",
DOI = "https://doi.org/10.1111/j.1600-0765.1997.tb00538.x",
ISSN = "0022-3484 (print), 1600-0765 (electronic)",
ISSN-L = "0022-3484",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Periodontal Research",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1600-0765",
onlinedate = "30 Jun 2006",
}
@Article{Lee:1997:HRF,
author = "Shyi-Long Lee and Chung-Kung Lee",
title = "Heterogeneous Reactions Over Fractal Surfaces: a
Multifractal Scaling Analysis",
journal = j-IJQC,
volume = "64",
number = "3",
pages = "337--350",
month = "????",
year = "1997",
CODEN = "IJQCB2",
DOI = "http://tinyurl.com/jtrhba4",
ISSN = "0020-7608 (print), 1097-461X (electronic)",
ISSN-L = "0020-7608",
bibdate = "Tue Oct 4 06:59:10 MDT 2011",
bibsource = "Compendex database;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ijqc.bib;
https://www.math.utah.edu/pub/tex/bib/ijqc1990.bib;
http://www3.interscience.wiley.com/journalfinder.html;
http://www3.interscience.wiley.comjournalfinder.html",
note = "Special Issue: {\em Second Triennial Congress of the
International Society for Theoretical Chemical
Physics}. Issue Edited by Se{\'a}n P. McGlynn, Kresimir
Rupnik, Janos Ladik.",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=42691;
http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=42691&PLACEBO=IE.pdf",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Quantum Chem.",
fjournal = "International Journal of Quantum Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/",
journalabr = "Int J Quant Chem",
onlinedate = "6 Dec 1998",
xxDOI = "https://doi.org/10.1002/(SICI)1097-461X(1997)64:3<337::AID-QUA6>3.0.CO%3B2-X",
}
@InProceedings{Lee:1997:SSA,
author = "Choong Ho Lee and M. Kawamata and T. Higuchi",
booktitle = "Proceedings of 1997 IEEE International Symposium on
Circuits and Systems: ISCAS '97, 9--12 June 1997",
title = "State-space approach to roundoff error analysis of
fractal image coding",
volume = "2",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "1341--1344",
year = "1997",
CODEN = "????",
ISSN = "????",
bibdate = "Sat Jul 16 11:25:07 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
summary = "Roundoff error due to iterative computation with
finite wordlength degrades the quality of decoded
images in fractal image coding that employs a
deterministic iterated function system. This paper
presents a state-space approach to roundoff error
\ldots{}",
}
@Article{Prodinger:1997:PYM,
author = "Helmut Prodinger",
title = "On a problem of {Yekutieli} and {Mandelbrot} about the
bifurcation ratio of binary trees",
journal = j-THEOR-COMP-SCI,
volume = "181",
number = "1",
pages = "181--194",
day = "15",
month = jul,
year = "1997",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:21:01 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=181&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=181&issue=1&aid=2471",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics); C7310 (Mathematics
computing)",
conflocation = "Valparaiso, Chile; 3-7 April 1995",
conftitle = "Second International Symposium on Latin American
Theoretical Informatics",
corpsource = "Inst. f{\"u}r Algebra und Diskrete Math., Tech. Univ.
Wien, Austria",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "analytic expression; bifurcation ratio; binary trees;
Horton--Strahler number; mathematics computing;
numerical constant; register function; subtrees; trees
(mathematics)",
pubcountry = "Netherlands",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Sirvent:1997:SDS,
author = "V{\'\i}ctor F. Sirvent",
title = "On some dynamical subsets of the {Rauzy} fractal",
journal = j-THEOR-COMP-SCI,
volume = "180",
number = "1--2",
pages = "363--370",
day = "10",
month = jun,
year = "1997",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Mon Jul 19 22:20:59 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1997&volume=180&issue=1-2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs1995.bib",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1997&volume=180&issue=1-2&aid=2533",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4210L (Formal
languages and computational linguistics); C4260
(Computational geometry)",
corpsource = "Departamento de Matematicas, Simon Bolivar Univ.,
Caracas, Venezuela",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
keywords = "adic system; Billingsley dimension; computational
geometry; dynamical subsets; dynamical system; formal
languages; fractals; geometrical realizations;
Hausdorff dimension; Rauzy fractal; substitution;
torus",
pubcountry = "Netherlands",
treatment = "T Theoretical or Mathematical",
}
@Article{Smithe:1997:ESA,
author = "David Smithe and Larry Ludeking",
title = "An eigenmode solution algorithm based on high-order
power iteration with fractally ordered shifts",
journal = j-COMP-PHYS-COMM,
volume = "106",
number = "1--2",
pages = "95--104",
day = "2",
month = oct,
year = "1997",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(97)00081-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:30:20 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465597000817",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Tiihonen:1997:CBR,
author = "J. Tiihonen and J. Kuikka and P. R{\"a}s{\"a}nen and
U. Lepola and H. Koponen and A. Liuska and A.
Lehmusvaara and P. Vainio and M. K{\"o}n{\"o}nen and K.
Bergstr{\"o}m and M. Yu and I. Kinnunen and K.
{\AA}kerman and J. Karhu",
title = "Cerebral benzodiazepine receptor binding and
distribution in generalized anxiety disorder: a fractal
analysis",
journal = j-MOL-PSYCHIATRY,
volume = "2",
number = "6",
pages = "463--471",
day = "23",
month = oct,
year = "1997",
CODEN = "MOPSFQ",
DOI = "https://doi.org/10.1038/sj.mp.4000329",
ISSN = "1359-4184 (print), 1476-5578 (electronic)",
ISSN-L = "1359-4184",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/mp/journal/v2/n6/pdf/4000329a.pdf",
acknowledgement = ack-nhfb,
fjournal = "Molecular Psychiatry",
journal-URL = "http://www.nature.com/mp/archive/",
}
@Article{Williams:1997:BFG,
author = "Nigel Williams",
title = "Biology: Fractal Geometry Gets the Measure of Life's
Scales",
journal = j-SCIENCE,
volume = "276",
number = "5309",
pages = "34--34",
day = "4",
month = apr,
year = "1997",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.276.5309.34",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/276/5309/34.full",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Anonymous:1998:FSF,
author = "Anonymous",
title = "Book Review: {{\booktitle{Fractals and scaling in
finance: Discontinuity, concentration, risk}}: Selecta
Volume E. By Beno{\^\i}t B. Mandelbrot. Springer, Berlin.
(1997). 551 pages. \$39.95, DM 84.00, {{\"o}S} 613.20,
sFr 76.50, GBP 32.50}",
journal = j-COMPUT-MATH-APPL,
volume = "35",
number = "5",
pages = "135--135",
month = mar,
year = "1998",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:48:47 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122198907453",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Anonymous:1998:NPF,
author = "Anonymous",
title = "Net Pics: Fractal Fever",
journal = j-SCIENCE,
volume = "280",
number = "5363",
pages = "491--491",
day = "24",
month = apr,
year = "1998",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.280.5363.491c",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/280/5363/491.3.full",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Avnir:1998:GNF,
author = "David Avnir and Ofer Biham and Daniel Lidar and Ofer
Malcai",
title = "Is the Geometry of Nature Fractal?",
journal = j-SCIENCE,
volume = "279",
number = "5347",
pages = "39--40",
day = "2",
month = jan,
year = "1998",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.279.5347.39",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/279/5347/39.full",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Chen:1998:BSC,
author = "Ning Chen and Weiyong Zhu",
title = "Bud-sequence conjecture on {$M$} fractal image and
{$M$-$J$} conjecture between {$C$} and {$Z$} planes
from $ z \longleftarrow z w + c \qquad (w = a + i b)
$",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "22",
number = "4",
pages = "537--546",
day = "1",
month = aug,
year = "1998",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:18:35 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1998&volume=22&issue=4;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cas/tree/store/cag/sub/1998/22/4/585.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Conci:1998:FIA,
author = "Aura Conci and Claudia Belmiro Proen{\c{c}}a",
title = "A fractal image analysis system for fabric inspection
based on a box-counting method",
journal = j-COMP-NET-ISDN,
volume = "30",
number = "20--21",
pages = "1887--1895",
day = "12",
month = nov,
year = "1998",
CODEN = "CNISE9",
ISSN = "0169-7552 (print), 1879-2324 (electronic)",
ISSN-L = "0169-7552",
bibdate = "Fri Sep 24 20:22:27 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cna/cas_free/browse/browse.cgi?year=1998&volume=30&issue=20-21;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.elsevier.com/cas/tree/store/comnet/sub/1998/30/20-21/2019.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computer Networks and ISDN Systems",
journal-URL = "http://www.sciencedirect.com/science/journal/01697552",
}
@Article{Fernandez-Ranada:1998:RFC,
author = "Antonio Fern{\'a}ndez-Ra{\~n}ada",
title = "Review: Las formas de las cosas: {{\booktitle{La
geometr{\'\i}a fractal de la naturaleza}} by
Beno{\^\i}t Mandelbrot}",
journal = "Revista de libros",
volume = "??",
number = "24",
pages = "21",
month = dec,
year = "1998",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/30228845",
acknowledgement = ack-nhfb,
}
@Book{Flake:1998:CBN,
author = "Gary William Flake",
title = "The computational beauty of nature: computer
explorations of fractals, chaos, complex systems, and
adaptation",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "xviii + 493",
year = "1998",
ISBN = "0-262-06200-3 (hardcover)",
ISBN-13 = "978-0-262-06200-8 (hardcover)",
LCCN = "QA76.6 .F557 1998",
bibdate = "Fri Jul 5 10:31:17 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/physperspect.bib;
z3950.loc.gov:7090/Voyager",
abstract = "In this book, Gary William Flake develops in depth the
simple idea that recurrent rules can produce rich and
complicated behaviors. Distinguishing ``agents'' (e.g.,
molecules, cells, animals, and species) from their
interactions (e.g., chemical reactions, immune system
responses, sexual reproduction, and evolution), Flake
argues that it is the computational properties of
interactions that account for much of what we think of
as ``beautiful'' and ``interesting.'' From this basic
thesis, Flake explores what he considers to be today's
four most interesting computational topics: fractals,
chaos, complex systems, and adaptation.",
acknowledgement = ack-nhfb,
subject = "Computer programming; System analysis",
tableofcontents = "Preface \\
1: Introduction \\
2: Number Systems and Infinity \\
3: Computability and Incomputability \\
4: Postscript: Computation \\
5: Self-Similarity and Fractal Geometry \\
6: L-Systems and Fractal Growth \\
7: Affine Transformation Fractals \\
8: The Mandelbrot Set and Julia Sets \\
9: Postscript: Fractals \\
10: Nonlinear Dynamics in Simple Maps \\
11: Strange Attractors \\
12: Producer-Consumer Dynamics \\
13: Controlling: Chaos \\
14: Postscript: Chaos \\
15: Cellular Automata \\
16: Autonomous Agents and Self-Organization \\
17: Competition and Cooperation \\
18: Natural and Analog Computation \\
19: Postscript' Complex Systems \\
20: Genetics and Evolution \\
21: Classifier Systems \\
22: Neural Networks and Learning \\
23: Postscript: Adaptation \\
24: Duality and Dichotomy \\
Source Code Notes \\
Glossary \\
Bibliography \\
Index",
}
@Article{Frantz:1998:TFW,
author = "Marc Frantz",
title = "Two functions whose powers make fractals",
journal = j-AMER-MATH-MONTHLY,
volume = "105",
number = "7",
pages = "609--617",
month = aug # "\slash " # sep,
year = "1998",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "28A80 (26A27 28A78); 28A80 (26-XX 58F13)",
MRnumber = "99g:28018; 1 633 069",
MRreviewer = "S. Dubuc",
bibdate = "Tue Jun 22 10:29:34 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly1990.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{GonzalezRodriguez:1998:TRM,
author = "Jose Angel {Gonzalez Rodriguez}",
title = "A tutorial and recipe for moving fractal trees",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "22",
number = "2--3",
pages = "301--305",
day = "6",
month = mar,
year = "1998",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:18:30 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1998&volume=22&issue=2-3;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cas/tree/store/cag/sub/1998/22/2-3/548.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Guerin:1998:TDS,
author = "Charles-Antoine Guerin and Matthias Holschneider",
title = "Time-dependent scattering on fractal measures",
journal = j-J-MATH-PHYS,
volume = "39",
number = "8",
pages = "4165--4194",
month = aug,
year = "1998",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 20 08:18:04 MDT 2000",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Hughes:1998:GJR,
author = "Merlin Hughes",
title = "{3D} Graphic {Java}: {Render} fractal landscapes",
journal = j-JAVAWORLD,
volume = "3",
number = "8",
pages = "??--??",
month = aug,
year = "1998",
CODEN = "????",
ISSN = "1091-8906",
bibdate = "Thu Sep 10 14:37:30 MDT 1998",
bibsource = "http://www.javaworld.com/javaworld/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.javaworld.com/javaworld/jw-08-1998/jw-08-step.htm",
acknowledgement = ack-nhfb,
}
@Article{Jaffard:1998:OSP,
author = "St{\'e}phane Jaffard",
title = "Oscillation spaces: {Properties} and applications to
fractal and multifractal functions",
journal = j-J-MATH-PHYS,
volume = "39",
number = "8",
pages = "4129--4141",
month = aug,
year = "1998",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Oct 20 08:18:04 MDT 2000",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys1995.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Juhos:1998:SCD,
author = "Szilveszter Juhos and Lajos Voros",
title = "Structural changes during eutrophication of {Lake
Balaton, Hungary}, as revealed by the
{Zipf--Mandelbrot} model",
journal = j-HYDROBIOLOGIA,
volume = "369--370",
number = "0",
pages = "237--242",
month = "????",
year = "1998",
CODEN = "HYDRB8",
DOI = "https://doi.org/10.1023/A:1017006128228",
ISSN = "0018-8158 (print), 1573-5117 (electronic)",
ISSN-L = "0018-8158",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Hydrobiologia",
journal-URL = "http://link.springer.com/journal/10750",
}
@InProceedings{Laxer:1998:ICF,
author = "Cary Laxer and Aaron Klebanoff",
title = "An interactive course on fractals and chaos",
crossref = "Grisson:1998:CAA",
pages = "44--45",
year = "1998",
bibdate = "Mon Oct 4 19:01:12 MDT 1999",
bibsource = "http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.acm.org:80/pubs/citations/proceedings/graph/280953/p44-laxer/",
acknowledgement = ack-nhfb,
keywords = "design; human factors; management; performance;
theory",
subject = "{\bf J.2} Computer Applications, PHYSICAL SCIENCES AND
ENGINEERING, Physics. {\bf I.3.7} Computing
Methodologies, COMPUTER GRAPHICS, Three-Dimensional
Graphics and Realism, Fractals. {\bf G.1.7} Mathematics
of Computing, NUMERICAL ANALYSIS, Ordinary Differential
Equations, Chaotic systems. {\bf I.3.6} Computing
Methodologies, COMPUTER GRAPHICS, Methodology and
Techniques, Interaction techniques. {\bf K.3.1}
Computing Milieux, COMPUTERS AND EDUCATION, Computer
Uses in Education.",
}
@Article{Majewski:1998:TRV,
author = "Mirek Majewski",
title = "A tutorial on the realistic visualization of {$3$D
Sierpi{\'n}ski} fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "22",
number = "1",
pages = "129--142",
day = "25",
month = feb,
year = "1998",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Oct 5 21:18:26 MDT 1999",
bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/cag/cas_free/browse/browse.cgi?year=1998&volume=22&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/cas/tree/store/cag/sub/1998/22/1/519.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Shishikura:1998:HDB,
author = "Mitsuhiro Shishikura",
title = "The {Hausdorff} Dimension of the Boundary of the
{Mandelbrot} Set and {Julia} Sets",
journal = j-ANN-MATH,
volume = "147",
number = "2",
pages = "225--267",
month = mar,
year = "1998",
CODEN = "ANMAAH",
ISSN = "0003-486X (print), 1939-8980 (electronic)",
ISSN-L = "0003-486X",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/121009",
acknowledgement = ack-nhfb,
fjournal = "Annals of Mathematics",
journal-URL = "http://annals.math.princeton.edu/",
}
@Article{Taubes:1998:FRN,
author = "Gary Taubes",
title = "Fractals Reemerge in the New Math of the {Internet}",
journal = j-SCIENCE,
volume = "281",
number = "5385",
pages = "1947--1948",
day = "25",
month = sep,
year = "1998",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.281.5385.1947",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/281/5385/1947.full",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Verklan:1998:QNH,
author = "M. Terese Verklan and David R. Bickel and Jon Moon",
title = "Quantification of Neonatal Heart Rate Variability From
26--35 Weeks Post-Conceptional Age Using the Fractal
Dimension as Estimated by Dispersional Analysis 1172",
journal = j-PEDIATRIC-RES,
volume = "43",
number = "4s",
pages = "201--201",
month = apr,
year = "1998",
CODEN = "????",
DOI = "https://doi.org/10.1203/00006450-199804001-01193",
ISSN = "????",
ISSN-L = "0031-3998",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/pr/journal/v43/n4s/full/pr19981320a.html",
acknowledgement = ack-nhfb,
fjournal = "Pediatric Research",
journal-URL = "http://www.nature.com/pr/archive",
}
@Article{Anonymous:1999:BRMq,
author = "Anonymous",
title = "Book Review: {{\booktitle{Multifractals and $ 1 / f $
noise: Wild self-affinity in physics (1963--1976)}}: By
Beno{\^\i}t B. Mandelbrot. Springer-Verlag, New York.
(1999). 442 pages. \$42.95, DM 89.00, {{\"o}S} 650.00,
sFr 81.00, GBP 34.00}",
journal = j-COMPUT-MATH-APPL,
volume = "38",
number = "11--12",
pages = "283--283",
month = dec,
year = "1999",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:49:01 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122199911951",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Barlow:1999:BMH,
author = "Martin T. Barlow and Richard F. Bass",
title = "{Brownian} Motion and Harmonic Analysis on
{Sierpinski} Carpets",
journal = j-CAN-J-MATH,
volume = "51",
number = "4",
pages = "673--744",
month = aug,
year = "1999",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-1999-031-4",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "60J60; 60B05, 60J35",
bibdate = "Sat Sep 10 15:39:08 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v51/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath1990.bib",
abstract = "We consider a class of fractal subsets of {$ \R^d $}
formed in a manner analogous to the construction of the
Sierpinski carpet. We prove a uniform Harnack
inequality for positive harmonic functions; study the
heat equation, and obtain upper and lower bounds on the
heat kernel which are, up to constants, the best
possible; construct a locally isotropic diffusion {$X$}
and determine its basic properties; and extend some
classical Sobolev and Poincar{\'e} inequalities to this
setting.",
acknowledgement = ack-nhfb,
ams-subject-primary = "60J60",
ams-subject-secondary = "60B05, 60J35",
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
journalabbrev = "CJM",
keywords = "Brownian motion; coupling; fractal; fundamental
solutions; harmonic functions; Harnack inequality;
Hausdorff dimension; heat equation; potentials;
reflecting Brownian motion; Sierpinski carpet; spectral
dimension; transition densities",
refnum = "0966",
}
@Article{Carlson:1999:TAO,
author = "Paul W. Carlson",
title = "Two artistic orbit trap rendering methods for {Newton}
{$M$}-set fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "23",
number = "6",
pages = "925--931",
month = dec,
year = "1999",
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http://www.elsevier.nl/gej-ng/10/13/20/24/35/47/article.pdf",
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fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Cartwright:1999:NMF,
author = "Julyan H. E. Cartwright",
title = "{Newton} maps: fractals from {Newton}'s method for the
circle map",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "23",
number = "4",
pages = "607--612",
month = aug,
year = "1999",
CODEN = "COGRD2",
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http://www.elsevier.nl/gej-ng/10/13/20/24/34/40/article.pdf",
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fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{daSilva:1999:SEM,
author = "Luciano R. da Silva and Ra{\'u}l O. Vallejos and
Constantino Tsallis and Renio S. Mendes",
title = "Spectrum energy multifractality and equilibrium
thermodynamics",
journal = j-COMP-PHYS-COMM,
volume = "121--122",
number = "??",
pages = "737--737",
month = sep # "\slash " # oct,
year = "1999",
CODEN = "CPHCBZ",
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fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
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author = "P. B. DePetrillo and U. Ruttimann",
title = "Method for determining the {Hurst} exponent of a
fractal time series and its applications to {EKG}
signal analysis",
journal = j-CLIN-PHARMACOL-THER,
volume = "65",
number = "2",
pages = "158--158",
month = feb,
year = "1999",
CODEN = "CLPTAT",
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ISSN-L = "0009-9236",
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acknowledgement = ack-nhfb,
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journal-URL = "http://onlinelibrary.wiley.com/subject/code/MDM1/titles",
}
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author = "Robert L. Devaney",
title = "The {Mandelbrot} set, the {Farey} tree, and the
{Fibonacci} sequence",
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number = "4",
pages = "289--302",
month = apr,
year = "1999",
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URL = "http://www.jstor.org/stable/2589552",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
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author = "V. Drakopoulos and N. Argyropoulos and A. B{\"o}hm",
title = "Generalized Computation of {Schr{\"o}der} Iteration
Functions To Motivate Families of {Julia} and
{Mandelbrot}-Like Sets",
journal = j-SIAM-J-NUMER-ANAL,
volume = "36",
number = "2",
pages = "417--435",
month = apr,
year = "1999",
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http://www.jstor.org/stable/2587202",
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author = "L. G. S. Duarte and L. A. C. P. da Mota and H. P. de
Oliveira and R. O. Ramos and J. E. F. Skea",
title = "Numerical analysis of dynamical systems and the
fractal dimension of boundaries",
journal = j-COMP-PHYS-COMM,
volume = "119",
number = "2--3",
pages = "256--271",
day = "2",
month = jun,
year = "1999",
CODEN = "CPHCBZ",
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ISSN-L = "0010-4655",
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https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
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journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Egghe:1999:RLZ,
author = "L. Egghe",
title = "Research: On the law of {Zipf--Mandelbrot} for
multi-word phrases",
journal = j-J-AM-SOC-INF-SCI,
volume = "50",
number = "3",
pages = "233--241",
month = "????",
year = "1999",
CODEN = "AISJB6",
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acknowledgement = ack-nhfb,
fjournal = "Journal of the American Society for Information
Science",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)2330-1643",
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}
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author = "A. Fern{\'a}ndez-Barbero and B. Vincent and F. J. de
las Nieves",
title = "Effect of the particle sign of charge on mesoscopic
cluster fractal structures",
journal = j-COMP-PHYS-COMM,
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number = "??",
pages = "635--635",
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CODEN = "CPHCBZ",
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fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
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author = "K. Foroutan-pour and P. Dutilleul and D. L. Smith",
title = "Advances in the implementation of the box-counting
method of fractal dimension estimation",
journal = j-APPL-MATH-COMP,
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number = "2--3",
pages = "195--210",
day = "12",
month = nov,
year = "1999",
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bibdate = "Fri Oct 22 17:50:02 MDT 1999",
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fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Karman:1999:LOF,
author = "G. P. Karman and G. S. McDonald and G. H. C. New and
J. P. Woerdman",
title = "Laser optics: Fractal modes in unstable resonators",
journal = j-NATURE,
volume = "402",
number = "6758",
pages = "138--138",
day = "11",
month = nov,
year = "1999",
CODEN = "NATUAS",
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acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Martinez:1999:UF,
author = "Vicent J. Mart{\'\i}nez",
title = "Is the Universe Fractal?",
journal = j-SCIENCE,
volume = "284",
number = "5413",
pages = "445--446",
day = "16",
month = apr,
year = "1999",
CODEN = "SCIEAS",
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fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Book{Peitgen:1999:FCS,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
title = "Fractals for the classroom: strategic activities",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 107",
year = "1999",
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http://www.loc.gov/catdir/enhancements/fy0815/2003535060-t.html",
acknowledgement = ack-nhfb,
subject = "fractals; problems, exercises, etc",
}
@Article{Sato:1999:NCS,
author = "Yuzuru Sato and Makoto Taiji and Takashi Ikegami",
title = "{NP}-completeness of $k$ {SAT} and multifractals",
journal = j-COMP-PHYS-COMM,
volume = "121--122",
number = "??",
pages = "51--53",
month = sep # "\slash " # oct,
year = "1999",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(99)00278-7",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
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https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
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acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Skarbek:1999:PCD,
author = "W. Skarbek",
title = "Perceptual convergence of discrete clamped fractal
operator",
journal = j-LECT-NOTES-COMP-SCI,
volume = "1609",
number = "??",
pages = "395--??",
month = "????",
year = "1999",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Mon Sep 13 16:57:02 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Taylor:1999:FAP,
author = "Richard P. Taylor and Adam P. Micolich and David
Jonas",
title = "Fractal analysis of {Pollock}'s drip paintings",
journal = j-NATURE,
volume = "399",
number = "6735",
pages = "422--422",
day = "3",
month = jun,
year = "1999",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/20833",
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bibdate = "Sat Sep 8 11:26:27 MDT 2012",
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acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{West:1999:FDL,
author = "Geoffrey B. West and James H. Brown and Brian J.
Enquist",
title = "The Fourth Dimension of Life: Fractal Geometry and
Allometric Scaling of Organisms",
journal = j-SCIENCE,
volume = "284",
number = "5420",
pages = "1677--1679",
day = "4",
month = jun,
year = "1999",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.284.5420.1677",
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fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@InProceedings{Wu:1999:MCC,
author = "P.-Y. Wu",
title = "Minimum communication cost fractal image compression
on {PVM}",
crossref = "Dongarra:1999:RAP",
number = "1697",
pages = "434--441",
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@Article{Bak:2000:BRB,
author = "Per Bak",
title = "Book Review: {{\booktitle{Multifractals and $ 1 / f $
noise}}, by Beno{\^\i}t B. Mandelbrot}",
journal = j-COMPLEXITY,
volume = "5",
number = "3",
pages = "46--47",
month = jan # "\slash " # feb,
year = "2000",
CODEN = "COMPFS",
DOI = "http://tinyurl.com/jefcj5y",
ISSN = "????",
ISSN-L = "1076-2787",
bibdate = "Mon Sep 10 05:57:03 2012",
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@Article{Camp:2000:BME,
author = "Dane R. Camp",
title = "{Beno{\^\i}t Mandelbrot}: The {Euclid} of Fractal
Geometry",
journal = j-MATH-TEACH,
volume = "93",
number = "8",
pages = "708--712",
month = nov,
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ISSN = "0025-5769",
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fjournal = "The Mathematics Teacher",
}
@Article{Chung:2000:GMS,
author = "K. W. Chung and H. S. Y. Chan and N. Chen",
title = "General {Mandelbrot} sets and {Julia} sets with color
symmetry from equivariant mappings of the modular
group",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "24",
number = "6",
pages = "911--918",
month = dec,
year = "2000",
CODEN = "COGRD2",
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ISSN-L = "0097-8493",
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http://www.elsevier.nl/gej-ng/10/13/20/47/34/34/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Edgar:2000:FFP,
author = "G. A. Edgar",
title = "The forest fractal puzzle",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "24",
number = "1",
pages = "133--141",
month = feb,
year = "2000",
CODEN = "COGRD2",
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ISSN-L = "0097-8493",
bibdate = "Sat Oct 21 14:18:12 MDT 2000",
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http://www.elsevier.nl/gej-ng/10/13/20/47/27/38/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Frame:2000:ICI,
author = "Michael Frame and Tatiana Cogevina",
title = "An infinite circle inversion limit set fractal",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "24",
number = "5",
pages = "797--804",
month = oct,
year = "2000",
CODEN = "COGRD2",
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ISSN-L = "0097-8493",
bibdate = "Tue Jul 17 08:15:18 MDT 2001",
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http://www.elsevier.nl/gej-ng/10/13/20/47/33/38/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Keller:2000:AMS,
author = "Karsten Keller",
title = "The Abstract {Mandelbrot} set",
journal = j-LECT-NOTES-MATH,
volume = "1732",
pages = "73--139",
year = "2000",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0104002",
ISBN = "3-540-67434-9 (print), 3-540-45589-2 (e-book)",
ISBN-13 = "978-3-540-67434-4 (print), 978-3-540-45589-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:06:54 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/lnm2000.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0104002/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0103999",
book-URL = "http://www.springerlink.com/content/978-3-540-45589-9",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Book{Keller:2000:IFJ,
author = "Karsten Keller",
title = "Invariant Factors, {Julia} Equivalences and the
(Abstract) {Mandelbrot} Set",
volume = "1732",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 206",
year = "2000",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0103999",
ISBN = "3-540-67434-9 (print), 3-540-45589-2 (e-book)",
ISBN-13 = "978-3-540-67434-4 (print), 978-3-540-45589-9
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 1732",
MRclass = "37Fxx (37-02; 37F10; 37F45; 37F50; 37F20; 30D05;
54H20; 37B10); 37F45 (30D05 37F50)",
MRnumber = "1761576 (2001m:37090)",
MRreviewer = "Peter Ha{\"\i}ssinsky",
bibdate = "Tue May 6 14:55:48 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/lnm2000.bib",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0103999;
http://www.springerlink.com/content/978-3-540-45589-9",
ZMnumber = "0970.37032",
acknowledgement = ack-nhfb,
fseries = "Lecture Notes in Mathematics",
series-URL = "http://link.springer.com/bookseries/304",
xxpages = "180 (est.)",
}
@Article{Kelley:2000:LTF,
author = "Alice Kelley",
title = "Layering techniques in fractal art",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "24",
number = "4",
pages = "611--616",
month = aug,
year = "2000",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Sat Oct 21 14:18:19 MDT 2000",
bibsource = "http://www.elsevier.com/locate/issn/00978493;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.nl/gej-ng/10/13/20/47/27/37/abstract.html;
http://www.elsevier.nl/gej-ng/10/13/20/47/32/37/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Kirchner:2000:FSC,
author = "James W. Kirchner and Xiahong Feng and Colin Neal",
title = "Fractal stream chemistry and its implications for
contaminant transport in catchments",
journal = j-NATURE,
volume = "403",
number = "6769",
pages = "524--527",
day = "3",
month = feb,
year = "2000",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/35000537",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v403/n6769/full/403524a0.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Liu:2000:LTM,
author = "Quansheng Liu and Alain Rouault",
title = "Limit Theorems for {Mandelbrot}'s Multiplicative
Cascades",
journal = j-ANN-APPL-PROBAB,
volume = "10",
number = "1",
pages = "218--239",
month = feb,
year = "2000",
CODEN = "????",
ISSN = "1050-5164",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2667193",
acknowledgement = ack-nhfb,
fjournal = "Annals of applied probability",
journal-URL = "http://projecteuclid.org/all/euclid.aoap/;
http://www.jstor.org/journals/10505164.html",
}
@Article{Roughan:2000:RTE,
author = "Matthew Roughan and Darryl Veitch and Patrice Abry",
title = "Real-time estimation of the parameters of long-range
dependence",
journal = j-IEEE-TRANS-NETWORKING,
volume = "8",
number = "4",
pages = "467--478",
month = aug,
year = "2000",
CODEN = "IEANEP",
DOI = "https://doi.org/10.1109/90.865075",
ISSN = "1063-6692 (print), 1558-2566 (electronic)",
ISSN-L = "1063-6692",
bibdate = "Fri Dec 8 17:21:08 MST 2000",
bibsource = "http://www.acm.org/pubs/toc/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib",
URL = "http://www.acm.org/pubs/citations/journals/ton/2000-8-4/p467-roughan/",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Networking",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J771",
keywords = "estimation; fractal; Hurst parameter; long-range
dependence; on-line; real-time; self-similar; traffic
modeling; wavelets",
subject = "Computer Systems Organization ---
Computer-Communication Networks --- Network Operations
(C.2.3): {\bf Network management}; Mathematics of
Computing --- Numerical Analysis --- Approximation
(G.1.2): {\bf Wavelets and fractals}",
}
@Book{Sole:2000:SLH,
author = "Ricard Vicente Sol{\'e} and Brian Goodwin",
title = "Signs of Life: How Complexity Pervades Biology",
publisher = pub-BASIC-BOOKS,
address = pub-BASIC-BOOKS:adr,
pages = "xi + 322",
year = "2000",
ISBN = "0-465-01927-7, 0-465-01928-5 (paperback)",
ISBN-13 = "978-0-465-01927-4, 978-0-465-01928-1 (paperback)",
LCCN = "QH501 .S65 2000",
bibdate = "Thu Feb 28 09:59:50 MST 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
keywords = "Mandelbrot; Zipf's law",
tableofcontents = "Nonlinearity, chaos, and emergence \\
Order, complexity, disorder \\
Genetic networks, cell differentiation, and development
\\
Physiology on the edge of chaos \\
Brain dynamics \\
Ants, brains, and chaos \\
The Baroque of nature \\
Life on the edge of catastrophe \\
Evolution and extinction \\
Fractal cities and market crashes",
}
@Article{Stark:2000:HSF,
author = "Colin P. Stark and Marc Stieglitz",
title = "Hydrology: The sting in a fractal tail",
journal = j-NATURE,
volume = "403",
number = "6769",
pages = "493--495",
day = "3",
month = feb,
year = "2000",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/35000689",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v403/n6769/full/403493a0.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Stewart:2000:FGT,
author = "Ian Stewart",
title = "A Fractal Guide to Tic-Tac-Toe",
journal = j-SCI-AMER,
volume = "283",
number = "2",
pages = "86--88",
month = aug,
year = "2000",
CODEN = "SCAMAC",
DOI = "https://doi.org/10.1038/scientificamerican0800-86",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/scientificamerican/journal/v283/n2/pdf/scientificamerican0800-86.pdf",
acknowledgement = ack-nhfb,
ajournal = "Sci. Amer.",
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Stewart:2000:MRF,
author = "Ian Stewart",
title = "Mathematical Recreations: a fractal guide to
tic-tac-toe",
journal = j-SCI-AMER,
volume = "283",
number = "2",
pages = "86--??",
month = aug,
year = "2000",
CODEN = "SCAMAC",
ISSN = "0036-8733 (print), 1946-7087 (electronic)",
ISSN-L = "0036-8733",
bibdate = "Mon Nov 13 06:19:27 MST 2000",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
OCLC Contents1st database",
acknowledgement = ack-nhfb,
fjournal = "Scientific American",
journal-URL = "http://www.nature.com/scientificamerican",
}
@Article{Alfonseca:2001:DFD,
author = "M. Alfonseca and A. Ortega",
title = "Determination of fractal dimensions from equivalent
{$L$} systems",
journal = j-IBM-JRD,
volume = "45",
number = "6",
pages = "797--805",
month = "????",
year = "2001",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Wed Nov 14 18:58:13 MST 2001",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib;
http://www.research.ibm.com/journal/rd45-6.html",
URL = "http://www.research.ibm.com/journal/rd/456/alfonseca.html;
http://www.research.ibm.com/journal/rd/456/alfonseca.pdf",
acknowledgement = ack-nhfb,
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
ordernumber = "G322-0229",
}
@Article{Allis:2001:VPS,
author = "Ned W. Allis and Jeffrey P. Dumont and Clifford A.
Reiter",
title = "Visualizing point sets, fractals, and quasicrystals
using raster techniques",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "25",
number = "3",
pages = "519--527",
month = jun,
year = "2001",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Jul 17 08:15:19 MDT 2001",
bibsource = "http://www.elsevier.com/locate/issn/00978493;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.nl/gej-ng/10/13/20/57/32/40/abstract.html;
http://www.elsevier.nl/gej-ng/10/13/20/57/32/40/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Drewes:2001:TBG,
author = "Frank Drewes",
title = "Tree-based generation of languages of fractals",
journal = j-THEOR-COMP-SCI,
volume = "262",
number = "1--2",
pages = "377--414",
day = "6",
month = jul,
year = "2001",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Wed Jul 25 18:49:25 MDT 2001",
bibsource = "http://www.elsevier.com/locate/issn/03043975;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2000.bib",
URL = "http://www.elsevier.nl/gej-ng/10/41/16/204/21/41/abstract.html;
http://www.elsevier.nl/gej-ng/10/41/16/204/21/41/article.pdf",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Guerin:2001:NGF,
author = "Charles-Antoine Gu{\'e}rin",
title = "A note on the generalized fractal dimensions of a
probability measure",
journal = j-J-MATH-PHYS,
volume = "42",
number = "12",
pages = "5871--5875",
month = dec,
year = "2001",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Thu Mar 28 19:47:21 MST 2002",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Hahn:2001:CMB,
author = "Horst K. Hahn and Markus G. Lentschig and Burckhard
Terwey and Heinz-Otto Peitgen",
title = "Clinical {MRI} Based Volumetry: The Cerebral
Ventricles",
journal = j-LECT-NOTES-COMP-SCI,
volume = "2208",
number = "??",
pages = "1291--??",
month = "????",
year = "2001",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sat Feb 2 13:06:53 MST 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2208.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/2208/22081291.htm;
http://link.springer-ny.com/link/service/series/0558/papers/2208/22081291.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Herman:2001:FBP,
author = "Peter Herm{\'a}n and L{\'a}szl{\'o} Kocsis and Andras
Eke",
title = "Fractal Branching {Pattern} in the Pial Vasculature in
the Cat",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "21",
number = "6",
pages = "741--753",
month = jun,
year = "2001",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1097/00004647-200106000-00012",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v21/n6/full/9591109a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Isaeva:2001:MSC,
author = "Olga B. Isaeva and Sergey P. Kuznetsov and Vladimir I.
Ponomarenko",
title = "{Mandelbrot} set in coupled logistic maps and in an
electronic experiment",
journal = j-PHYS-REV-E,
volume = "64",
number = "5 (part 2)",
pages = "055201",
month = nov,
year = "2001",
CODEN = "PLEEE8",
DOI = "https://doi.org/10.1103/PhysRevE.64.055201",
ISSN = "1539-3755 (print), 1550-2376 (electronic)",
ISSN-L = "1539-3755",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aps.org/abstract/PRE/v64/e055201",
acknowledgement = ack-nhfb,
fjournal = "Physical Review E (Statistical physics, plasmas,
fluids, and related interdisciplinary topics)",
journal-URL = "http://pre.aps.org/browse",
}
@Article{Malacarne:2001:QED,
author = "L. C. Malacarne and R. S. Mendes and E. K. Lenzi",
title = "$q$-exponential distribution in urban agglomeration",
journal = j-PHYS-REV-E,
volume = "65",
number = "??",
pages = "017106",
day = "21",
month = dec,
year = "2001",
CODEN = "PLEEE8",
DOI = "https://doi.org/10.1103/PhysRevE.65.017106",
ISSN = "1539-3755 (print), 1550-2376 (electronic)",
ISSN-L = "1539-3755",
bibdate = "Tue Feb 26 06:40:57 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://link.aps.org/doi/10.1103/PhysRevE.65.017106",
acknowledgement = ack-nhfb,
fjournal = "Physical Review E (Statistical physics, plasmas,
fluids, and related interdisciplinary topics)",
journal-URL = "http://pre.aps.org/browse",
keywords = "Zipf--Mandelbrot law",
}
@Article{Mirowski:2001:RBS,
author = "Philip E. Mirowski",
title = "Review: {{\booktitle{Fractals and Scaling in Finance:
Discontinuity, Concentration, Risk}} by Beno{\^\i}t B.
Mandelbrot}",
journal = j-J-ECON-LIT,
volume = "39",
number = "2",
pages = "585--587",
month = jun,
year = "2001",
CODEN = "JECLB3",
ISSN = "0022-0515 (print), 1547-1101 (electronic)",
ISSN-L = "0022-0515",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/2698262",
acknowledgement = ack-nhfb,
fjournal = "Journal of Economic Literature",
}
@Article{Montemurro:2001:BZM,
author = "Marcelo A. Montemurro",
title = "Beyond the {Zipf--Mandelbrot} law in quantitative
linguistics",
journal = j-PHYSICA-A,
volume = "300",
number = "3--4",
pages = "567--578",
day = "15",
month = nov,
year = "2001",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/S0378-4371(01)00355-7",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Wed Feb 27 07:32:55 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0378437101003557",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical Mechanics and its
Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
keywords = "Zipf's Law",
}
@Article{Nakano:2001:TON,
author = "M. Nakano and H. Fujita and M. Takahata and S.
Kiribayashi and K. Yamaguchi",
title = "Third-order nonlinear optical properties of dendritic
molecular aggregates: {Effects} of fractal
architecture",
journal = j-IJQC,
volume = "84",
number = "6",
pages = "649--659",
month = "????",
year = "2001",
CODEN = "IJQCB2",
DOI = "https://doi.org/10.1002/qua.1420",
ISSN = "0020-7608 (print), 1097-461X (electronic)",
ISSN-L = "0020-7608",
bibdate = "Fri Feb 22 08:35:35 MST 2002",
bibsource = "http://www.interscience.wiley.com/jpages/0020-7608;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ijqc2000.bib;
http://www3.interscience.wiley.com/journalfinder.html",
URL = "http://www3.interscience.wiley.com/cgi-bin/abstract/85008257/START;
http://www3.interscience.wiley.com/cgi-bin/fulltext/85008257/FILE?TPL=ftx_start;
http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=85008257&PLACEBO=IE.pdf",
acknowledgement = ack-nhfb,
ajournal = "Int. J. Quantum Chem.",
fjournal = "International Journal of Quantum Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0020-7608/",
}
@Article{Oldershaw:2001:SMA,
author = "Robert L. Oldershaw",
title = "{$M$}-set as metaphor: The abuse of algebra",
journal = j-PHYS-EDUC,
volume = "36",
number = "5",
pages = "433",
month = "????",
year = "2001",
CODEN = "PHEDA7",
ISSN = "0031-9120 (print), 1361-6552 (electronic)",
ISSN-L = "0031-9120",
bibdate = "Fri Sep 7 10:04:02 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://stacks.iop.org/0031-9120/36/i=5/a=605",
acknowledgement = ack-nhfb,
fjournal = "Physics Education",
journal-URL = "http://iopscience.iop.org/0031-9120/",
keywords = "Mandelbrot set",
}
@Article{Balamash:2002:PMM,
author = "Abdullah Balamash and Marwan Krunz",
title = "A Parsimonious Multifractal Model for {WWW} Traffic",
journal = j-LECT-NOTES-COMP-SCI,
volume = "2376",
number = "??",
pages = "1--??",
month = "????",
year = "2002",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Sat Nov 30 20:57:15 MST 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2376.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.springer.de/link/service/series/0558/bibs/2376/23760001.htm;
http://link.springer.de/link/service/series/0558/papers/2376/23760001.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Burns:2002:PEA,
author = "Anne M. Burns",
title = "Plotting the Escape: An Animation of Parabolic
Bifurcations in the {Mandelbrot} Set",
journal = j-MATH-MAG,
volume = "75",
number = "2",
pages = "104--116",
month = apr,
year = "2002",
CODEN = "MAMGA8",
ISSN = "0025-570X",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3219143",
acknowledgement = ack-nhfb,
fjournal = "Mathematics Magazine",
journal-URL = "http://www.maa.org/pubs/mathmag.html",
}
@Article{Chacon:2002:MFB,
author = "R. Chac{\'o}n and A. Mart{\'\i}nez Garc{\'\i}a-Hoz",
title = "Modifying fractal basin boundaries by reshaping
periodic terms",
journal = j-J-MATH-PHYS,
volume = "43",
number = "7",
pages = "3586--3591",
month = jul,
year = "2002",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Tue Dec 16 11:35:53 MST 2003",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Gintz:2002:CGA,
author = "Terry W. Gintz",
title = "Chaos and Graphics: Artist's statement {CQUATS}---a
non-distributive quad algebra for {$3$D} renderings of
{Mandelbrot} and {Julia} sets",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "26",
number = "2",
pages = "367--370",
day = "??",
month = apr,
year = "2002",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Fri Nov 22 09:29:35 MST 2002",
bibsource = "http://www.elsevier.com/locate/issn/00978493;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/gej-ng/10/13/20/68/41/42/abstract.html",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Haskell:2002:FGP,
author = "John P. Haskell and Mark E. Ritchie and Han Olff",
title = "Fractal geometry predicts varying body size scaling
relationships for mammal and bird home ranges",
journal = j-NATURE,
volume = "418",
number = "6897",
pages = "527--530",
day = "1",
month = aug,
year = "2002",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/nature00840",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
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URL = "http://www.nature.com/nature/journal/v418/n6897/full/nature00840.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@InProceedings{Manaris:2002:PTR,
author = "B. Manaris and T. Purewal and C. McCormick",
editor = "{IEEE}",
booktitle = "Proceedings: IEEE SoutheastCon 2002: April 5--7, 2002,
Embassy Suites Hotel, Columbia, South Carolina, USA",
title = "Progress Towards Recognizing and Classifying Beautiful
Music with Computers: {MIDI}-Encoded Music and the
{Zipf-Mandelbrot Law}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
bookpages = "xviii + 482",
pages = "52--57",
year = "2002",
DOI = "https://doi.org/10.1109/.2002.995557",
ISBN = "0-7803-7252-2",
ISBN-13 = "978-0-7803-7252-8",
LCCN = "TK7801 .I56 2002",
bibdate = "Mon Feb 18 10:40:27 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=7814",
acknowledgement = ack-nhfb,
}
@Book{Melin:2002:MSC,
author = "Patricia Melin and Oscar Castillo",
title = "Modelling, simulation and control of non-linear
dynamical systems: an intelligent approach using soft
computing and fractal theory",
volume = "2",
publisher = pub-TAYLOR-FRANCIS,
address = pub-TAYLOR-FRANCIS:adr,
pages = "xi + 249",
year = "2002",
ISBN = "0-415-27236-X",
ISBN-13 = "978-0-415-27236-0",
LCCN = "QA427 .M45 2002",
bibdate = "Wed Nov 16 12:14:49 MST 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
z3950.loc.gov:7090/Voyager",
series = "Numerical insights, 1028-5350",
acknowledgement = ack-nhfb,
keywords = "Matlab",
remark = "Diskette contains computer programs for
modeling/simulation.",
subject = "Nonlinear theories; Control theory; Soft computing;
Dynamics; Fractals",
}
@Article{Meson:2002:KLG,
author = "Alejandro M. Mes{\'o}n and Fernando Vericat",
title = "On the {Kolmogorov}-like generalization of {Tsallis}
entropy, correlation entropies and multifractal
analysis",
journal = j-J-MATH-PHYS,
volume = "43",
number = "2",
pages = "904--917",
month = feb,
year = "2002",
CODEN = "JMAPAQ",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Fri Mar 29 05:03:16 MST 2002",
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https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Molnar:2002:QTA,
author = "S{\'a}ndor Moln{\'a}r and Trang Dinh Dang and
Istv{\'a}n Maricza",
title = "On the Queue Tail Asymptotics for General Multifractal
Traffic",
journal = j-LECT-NOTES-COMP-SCI,
volume = "2345",
number = "??",
pages = "105--??",
month = "????",
year = "2002",
CODEN = "LNCSD9",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Tue Sep 10 19:09:42 MDT 2002",
bibsource = "http://link.springer-ny.com/link/service/series/0558/tocs/t2345.htm;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.springer-ny.com/link/service/series/0558/bibs/2345/23450105.htm;
http://link.springer-ny.com/link/service/series/0558/papers/2345/23450105.pdf",
acknowledgement = ack-nhfb,
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Mudge:2002:RBM,
author = "Michael R. Mudge",
title = "Review: {{\booktitle{The Mandelbrot Set, Theme and
Variations}} by Tan Lei}",
journal = j-MATH-GAZ,
volume = "86",
number = "505",
pages = "185",
month = mar,
year = "2002",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3621636",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}
@Article{Ortega:2002:CGP,
author = "Alfonso Ortega and Marina de la Cruz and Manuel
Alfonseca",
title = "Chaos and Graphics: Parametric $2$-dimensional {$L$}
systems and recursive fractal images: {Mandelbrot} set,
{Julia} sets and biomorphs",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "26",
number = "1",
pages = "143--149",
month = feb,
year = "2002",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Fri Feb 22 15:44:40 MST 2002",
bibsource = "http://www.elsevier.com/locate/issn/00978493;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/gej-ng/10/13/20/68/27/40/abstract.html",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Vormoor:2002:LSF,
author = "Oliver Vormoor",
title = "Large scale fractal aggregates using the tunable
dimension cluster-cluster aggregation",
journal = j-COMP-PHYS-COMM,
volume = "144",
number = "2",
pages = "121--129",
day = "1",
month = apr,
year = "2002",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/S0010-4655(02)00142-X",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 23:41:14 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S001046550200142X",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Ye:2002:ACO,
author = "Ruisong Ye",
title = "Another choice for orbit traps to generate artistic
fractal images",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "26",
number = "4",
pages = "629--633",
day = "??",
month = aug,
year = "2002",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Fri Nov 22 09:29:36 MST 2002",
bibsource = "http://www.elsevier.com/locate/issn/00978493;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib",
URL = "http://www.elsevier.com/gej-ng/10/13/20/68/55/44/abstract.html",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Alvarez-Ramirez:2003:ZMS,
author = "Jose Alvarez-Ramirez and Monica Meraz and Gustavo
Gallegos",
title = "{Zipf--Mandelbrot} scaling law for world track
records",
journal = j-PHYSICA-A,
volume = "328",
number = "3--4",
pages = "545--560",
day = "15",
month = oct,
year = "2003",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/S0378-4371(03)00579-X",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Wed Feb 27 07:32:55 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S037843710300579X",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical Mechanics and its
Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
keywords = "Zipf's Law",
}
@Article{Anonymous:2003:BRFb,
author = "Anonymous",
title = "Book Review: {{\booktitle{Fractals, graphics. \&
mathematics education}}: Edited by Michael L. Fame \&
Beno{\^\i}t B. Mandelbrot. The Mathematical Association of
America, Washington, D.C. (2002). 206 pages. \$39.95}",
journal = j-COMPUT-MATH-APPL,
volume = "45",
number = "10--11",
pages = "1776--1776",
month = may # "\slash " # jun,
year = "2003",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:49:27 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122103801360",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Anonymous:2003:BRGc,
author = "Anonymous",
title = "Book Review: {{\booktitle{Gaussian self-affinity and
fractals}}: By B. B. Mandelbrot. Springer, New York.
(2002). 654 pages. \$54.95}",
journal = j-COMPUT-MATH-APPL,
volume = "46",
number = "2--3",
pages = "505--505",
month = jul # "\slash " # aug,
year = "2003",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:49:31 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122103900472",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Balamash:2003:MWR,
author = "Abdullah Balamash and Marwan Krunz",
title = "Modeling {Web} requests: a multifractal approach",
journal = j-COMP-NET-AMSTERDAM,
volume = "43",
number = "2",
pages = "211--226",
day = "7",
month = oct,
year = "2003",
CODEN = "????",
ISSN = "1389-1286 (print), 1872-7069 (electronic)",
ISSN-L = "1389-1286",
bibdate = "Wed Nov 5 08:04:37 MST 2003",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compnetamsterdam2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Computer Networks (Amsterdam, Netherlands: 1999)",
journal-URL = "http://www.sciencedirect.com/science/journal/13891286",
}
@Article{Buzio:2003:CMF,
author = "Renato Buzio and Corrado Boragno and Fabio Biscarini
and Francesco Buatier De Mongeot and Ugo Valbusa",
title = "The contact mechanics of fractal surfaces",
journal = j-NATURE-MATER,
volume = "2",
number = "4",
pages = "233--236",
day = "9",
month = mar,
year = "2003",
CODEN = "NMAACR",
DOI = "https://doi.org/10.1038/nmat855",
ISSN = "1476-1122 (print), 1476-4660 (electronic)",
ISSN-L = "1476-1122",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nmat/journal/v2/n4/full/nmat855.html",
acknowledgement = ack-nhfb,
ajournal = "Nat. Mater.",
fjournal = "Nature Materials",
journal-URL = "http://www.nature.com/nmat/",
}
@Article{Doescher:2003:INC,
author = "Erwin Doescher and Haroldo F. de Campos Velho and
Fernando M. Ramos",
title = "Isothermal and natural convection flows in fractal
cavities",
journal = j-APPL-NUM-MATH,
volume = "47",
number = "3--4",
pages = "407--419",
month = dec,
year = "2003",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Tue Jan 27 16:50:57 MST 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
http://www.sciencedirect.com/science/journal/01689274",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
remark = "Applied and Computational Mathematics: Selected Papers
of the Fourth PanAmerican Workshop.",
}
@Article{Drakopoulos:2003:OPV,
author = "V. Drakopoulos and N. Mimikou and T. Theoharis",
title = "An overview of parallel visualisation methods for
{Mandelbrot} and {Julia} sets",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "27",
number = "4",
pages = "635--646",
month = aug,
year = "2003",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Jan 27 12:04:28 MST 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@InProceedings{Gilbert:2003:FBT,
author = "Anna Gilbert and Howard Karloff",
title = "On the fractal behavior of {TCP}",
crossref = "ACM:2003:PTF",
pages = "297--306",
year = "2003",
bibdate = "Tue Jan 13 06:21:07 MST 2004",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Gupta:2003:BGF,
author = "A. Gupta and R. Krauthgamer and J. R. Lee",
title = "Bounded geometries, fractals, and low-distortion
embeddings",
crossref = "IEEE:2003:PAI",
pages = "534--543",
year = "2003",
bibdate = "Fri Jul 15 16:13:03 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/focs2000.bib",
URL = "http://ieeexplore.ieee.org/iel5/8767/27770/01238226.pdf",
acknowledgement = ack-nhfb,
}
@Article{Kallam:2003:RBG,
author = "Linda Kallam",
title = "Review: {{\booktitle{Fractals, Graphics, and
Mathematics Education}} by Michael L. Frame,
Beno{\^\i}t B. Mandelbrot}",
journal = j-MATH-TEACH,
volume = "96",
number = "5",
pages = "379",
month = "????",
year = "2003",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/20871345",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@InProceedings{Manaris:2003:EMZ,
author = "Bill Manaris and Dallas Vaughan and Christopher Wagner
and Juan Romero and Robert B. Davis",
title = "Evolutionary Music and the {Zipf--Mandelbrot Law}:
Developing Fitness Functions for Pleasant Music",
crossref = "Raidl:2003:AEC",
pages = "522--534",
year = "2003",
bibdate = "Mon Feb 18 10:49:54 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Mitzenmacher:2003:BHG,
author = "Michael Mitzenmacher",
title = "A Brief History of Generative Models for Power Law and
Lognormal Distributions",
journal = j-INTERNET-MATH,
volume = "1",
number = "2",
pages = "226--251",
month = dec,
year = "2003",
CODEN = "????",
DOI = "https://doi.org/10.1080/15427951.2004.10129088",
ISSN = "1542-7951 (print), 1944-9488 (electronic)",
ISSN-L = "1542-7951",
bibdate = "Thu Nov 24 13:38:13 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/fibquart.bib",
URL = "http://projecteuclid.org/euclid.im/1089229510;
http://www.eecs.harvard.edu/~michaelm/CS223/powerlaw.pdf;
http://www.tandfonline.com/toc/uinm20/1/2",
acknowledgement = ack-nhfb,
ajournal = "Internet Math.",
fjournal = "Internet Mathematics",
journal-URL = "http://projecteuclid.org/info/euclid.im",
keywords = "Fibonacci sequence; lognormal distribution; monkeys
typing randomly; Pareto distribution; power-law
distribution; Yule distribution; Zipf's Law",
remark = "This is a survey article with a six-page bibliography
of earlier work, and a clear description of the
differences between lognormal and power-law
distributions, which otherwise look similar on log-log
plots. Lognormal distributions have finite means and
moments, while power-law distributions may have
infinite means and/or moments, depending on the
exponent. The preprint at author's Web site (last URL)
contains additional material on the acrimonious debate
between Beno{\^\i}t Mandelbrot and Herbert A. Simon
(see \cite{Mandelbrot:1959:NCS,Simon:1955:CSD}, and
other references in Mitzenmacher's paper) on the
derivation and modeling of Zipf's Law distributions.",
}
@Article{Naschitz:2003:ACRa,
author = "J. E. Naschitz and R. Itzhak and N. Shaviv and I.
Khorshidi and S. Sundick and H. Isseroff and M. Fields
and R. M. Priselac and D. Yeshurun and E. Sabo and
others",
title = "Assessment of cardiovascular reactivity by fractal and
recurrence quantification analysis of heart rate and
pulse transit time",
journal = j-J-HUM-HYPERTENS,
volume = "17",
number = "2",
pages = "111--118",
day = "4",
month = feb,
year = "2003",
CODEN = "????",
DOI = "https://doi.org/10.1038/sj.jhh.1001517",
ISSN = "????",
ISSN-L = "0950-9240",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jhh/journal/v17/n2/full/1001517a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Human Hypertension",
journal-URL = "http://www.nature.com/jhh/archive",
}
@Article{Naschitz:2003:ACRb,
author = "J. E. Naschitz and R. Itzhak and N. Shaviv and I.
Khorshidi and S. Sundick and H. Isseroff and M. Fields
and R. M. Priselac and D. Yeshurun and E. Sabo and
others",
title = "Assessment of cardiovascular reactivity by fractal and
recurrence quantification analysis of heart rate and
pulse transit time",
journal = j-J-HUM-HYPERTENS,
volume = "17",
number = "8",
pages = "585--585",
day = "22",
month = jul,
year = "2003",
CODEN = "????",
DOI = "https://doi.org/10.1038/sj.jhh.1001615",
ISSN = "????",
ISSN-L = "0950-9240",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jhh/journal/v17/n8/full/1001615a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Human Hypertension",
journal-URL = "http://www.nature.com/jhh/archive",
}
@Article{Nikiel:2003:GVE,
author = "Slawek Nikiel and Adam Goinski",
title = "Generation of volumetric escape time fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "27",
number = "6",
pages = "977--982",
month = dec,
year = "2003",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Jan 27 12:04:28 MST 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Ortega:2003:GED,
author = "A. Ortega and A. A. Dalhoum and M. Alfonseca",
title = "Grammatical evolution to design fractal curves with a
given dimension",
journal = j-IBM-JRD,
volume = "47",
number = "4",
pages = "483--493",
month = "????",
year = "2003",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibdate = "Thu Aug 7 13:37:16 MDT 2003",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib;
http://www.research.ibm.com/journal/",
URL = "http://www.research.ibm.com/journal/rd/474/ortega.pdf",
acknowledgement = ack-nhfb,
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
ordernumber = "G322-0236",
}
@Article{Spehar:2003:UAF,
author = "Branka Spehar and Colin W. G. Clifford and Ben R.
Newell and Richard P. Taylor",
title = "Universal aesthetic of fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "27",
number = "5",
pages = "813--820",
month = oct,
year = "2003",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Tue Jan 27 12:04:28 MST 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Wang:2003:DRT,
author = "Ching-Te Wang and Tung-Shou Chen and Shao-Hau He",
title = "Detecting and restoring the tampered images based on
iteration-free fractal compression",
journal = j-J-SYST-SOFTW,
volume = "67",
number = "2",
pages = "131--140",
day = "15",
month = aug,
year = "2003",
CODEN = "JSSODM",
ISSN = "0164-1212 (print), 1873-1228 (electronic)",
ISSN-L = "0164-1212",
bibdate = "Sat Oct 25 07:14:15 MDT 2003",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jsystsoftw.bib;
http://www.sciencedirect.com/science/journal/01641212",
acknowledgement = ack-nhfb,
fjournal = "The Journal of systems and software",
journal-URL = "http://www.sciencedirect.com/science/journal/01641212",
}
@Article{Devaney:2004:MVM,
author = "Robert L. Devaney",
title = "{Mandelbrot}'s Vision for Mathematics",
journal = j-PROC-SYMP-PURE-MATH,
volume = "72",
number = "1",
pages = "??--??",
month = "????",
year = "2004",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 11:21:52 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.math.yale.edu/mandelbrot/web_pdfs/jubileeletters.pdf",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of Symposia in Pure Mathematics",
}
@Article{Ford:2004:DEM,
author = "Roger Ford",
title = "Discovering and Exploring {Mandelbrot} Set Points with
a Graphing Calculator",
journal = j-MATH-TEACH,
volume = "98",
number = "1",
pages = "38--46",
month = "????",
year = "2004",
CODEN = "????",
ISSN = "0025-5769",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/27971613",
acknowledgement = ack-nhfb,
fjournal = "The Mathematics Teacher",
}
@Article{Friesen:2004:BRS,
author = "John Friesen",
title = "Book Review: {Scott Mandelbrote, Footprints of the
Lion: Isaac Newton at Work. Exhibition at Cambridge
University Library 9 October 2001--23 March 2002.
Cambridge: Cambridge University Library, 2001. Pp. 142.
ISBN 0-902205-58-7. \pounds 7.50 (paperback)}",
journal = j-BRITISH-J-HIST-SCI,
volume = "37",
number = "3",
pages = "349--350",
month = sep,
year = "2004",
CODEN = "BJHSAT",
DOI = "https://doi.org/10.1017/S0007087404266122",
ISSN = "0007-0874 (print), 1474-001X (electronic)",
ISSN-L = "0007-0874",
bibdate = "Thu Sep 23 07:34:43 MDT 2010",
bibsource = "http://journals.cambridge.org/action/displayJournal?jid=BJH;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/bjhs2000.bib",
URL = "http://www.jstor.org/stable/4028130;
http://www.jstor.org/stable/4028432",
acknowledgement = ack-nhfb,
fjournal = "British Journal for the History of Science",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BJH",
}
@Book{Getz:2004:GMF,
author = "Chonat Getz and Janet Helmstedt",
title = "Graphics with {Mathematica}: fractals, {Julia} sets,
patterns and natural forms",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "vii + 322",
year = "2004",
ISBN = "0-444-51760-X (hardback), 0-444-51774-X (CD-ROM)",
ISBN-13 = "978-0-444-51760-9 (hardback), 978-0-444-51774-6
(CD-ROM)",
LCCN = "QA76.95 .G48 2004",
bibdate = "Wed Oct 4 11:03:45 MDT 2006",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
note = "Includes CD-ROM.",
acknowledgement = ack-nhfb,
keywords = "computer graphics; fractals -- data processing;
Mathematica (computer file)",
}
@Article{Giles:2004:BMF,
author = "Jim Giles",
title = "{Beno{\^\i}t Mandelbrot}: Father of fractals",
journal = j-NATURE,
volume = "432",
number = "7015",
pages = "266--267",
day = "17",
month = nov,
year = "2004",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/432266a",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:06:18 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v432/n7015/full/432266a.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Kristiansen:2004:EOZ,
author = "Kai de Lange Kristiansen and Geir Helgesen and Arne T.
Skjeltorp",
title = "Experimental observation of {Zipf--Mandelbrot}
relation",
journal = j-PHYSICA-A,
volume = "335",
number = "3-4",
pages = "413--420",
month = "????",
year = "2004",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/j.physa.2003.12.024",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
MRclass = "82D10 (76T99 82-05)",
MRnumber = "2044153",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical Mechanics and its
Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
}
@Article{Magid:2004:RMB,
author = "Aaron Magid",
title = "Review: The Mystery Behind The {Mandelbrot} Set",
journal = "Math Horizons",
volume = "12",
number = "2",
pages = "27",
month = nov,
year = "2004",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/25678516",
acknowledgement = ack-nhfb,
}
@Article{Martyn:2004:NAM,
author = "Tomek Martyn",
title = "A new approach to morphing {$2$D} affine {IFS}
fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "28",
number = "2",
pages = "249--272",
month = apr,
year = "2004",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Thu Jul 14 18:00:18 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Nguyen:2004:HPF,
author = "Hung Phi Nguyen and Bastien Chopard and Serge Stoll",
title = "Hydrodynamic properties of fractal aggregates in
{$2$D} using {Lattice Boltzmann} simulation",
journal = j-FUT-GEN-COMP-SYS,
volume = "20",
number = "6",
pages = "981--991",
month = aug,
year = "2004",
CODEN = "FGSEVI",
ISSN = "0167-739X (print), 1872-7115 (electronic)",
ISSN-L = "0167-739X",
bibdate = "Fri Jul 15 08:00:45 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/futgencompsys.bib;
http://www.sciencedirect.com/science/journal/0167739X",
acknowledgement = ack-nhfb,
fjournal = "Future Generation Computer Systems",
journal-URL = "http://www.sciencedirect.com/science/journal/0167739X",
}
@Article{Pastor:2004:CBM,
author = "G. Pastor and M. Romera and G. {\'A}lvarez and F.
Montoya",
title = "Chaotic bands in the {Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "28",
number = "5",
pages = "779--784",
month = oct,
year = "2004",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Thu Jul 14 18:00:19 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Pe:2004:XF,
author = "Joseph L. Pe",
title = "The 3 x +1 fractal",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "28",
number = "3",
pages = "431--435",
month = jun,
year = "2004",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Thu Jul 14 18:00:18 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@InCollection{Peitgen:2004:CGH,
author = "Heinz-Otto Peitgen and H. (Hartmut) J{\"u}rgens and
Dietmar Saupe",
title = "The Chaos Game: How Randomness Creates Deterministic
Shapes",
crossref = "Peitgen:2004:CFN",
chapter = "7",
pages = "277--327",
year = "2004",
DOI = "https://doi.org/10.1007/0-387-21823-8_7",
bibdate = "Fri Mar 09 08:30:57 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib",
acknowledgement = ack-nhfb,
}
@Article{Romera:2004:EAD,
author = "M. Romera and G. Pastor and G. {\'A}lvarez and F.
Montoya",
title = "External arguments of {Douady} cauliflowers in the
{Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "28",
number = "3",
pages = "437--449",
month = jun,
year = "2004",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Thu Jul 14 18:00:18 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Anonymous:2005:BBF,
author = "Anonymous",
title = "{Buchbesprechung: \booktitle{Fraktale und Finanzen.
M{\"a}rkte zwischen Risiko und Ruin}. Von Beno{\^\i}t
B. Mandelbrot und Richard L. Hudson}",
journal = j-RISKNEWS,
volume = "2",
number = "4",
pages = "56--57",
month = aug,
year = "2005",
CODEN = "????",
DOI = "https://doi.org/10.1002/risk.200590086",
ISSN = "1612-8931 (print), 1616-0045 (electronic)",
ISSN-L = "1612-8931",
bibdate = "Sat Sep 08 19:24:35 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/risk.200590086/abstract",
acknowledgement = ack-nhfb,
fjournal = "RiskNews",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1616-0045",
onlinedate = "27 JUL 2005",
}
@Book{Baumann:2005:MTP,
author = "Gerd Baumann",
title = "{Mathematica} in theoretical physics",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xvi + 544",
year = "2005",
ISBN = "0-387-01674-0",
ISBN-13 = "978-0-387-01674-0",
LCCN = "QC20.7.E4 B3813 2005",
bibdate = "Thu Oct 20 18:45:40 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "1. Classical mechanics and nonlinear dynamics -- 2.
Electrodynamics, quantum mechanics, general relativity,
and fractals.",
subject = "Mathematical physics; Data processing; Mathematica
(Computer file)",
}
@Article{Dhar:2005:BPG,
author = "Deepak Dhar",
title = "Branched polymers on the {Given--Mandelbrot} family of
fractals",
journal = j-PHYS-REV-E,
volume = "71",
number = "3 (part 1)",
pages = "031801",
month = "????",
year = "2005",
CODEN = "PLEEE8",
ISSN = "1539-3755 (print), 1550-2376 (electronic)",
ISSN-L = "1539-3755",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Physical Review E (Statistical physics, plasmas,
fluids, and related interdisciplinary topics)",
journal-URL = "http://pre.aps.org/browse",
onlinedate = "?? March 2005",
report-number = "Dhar, Deepak/E-5203-2011",
}
@Article{Eke:2005:FNC,
author = "Andras Eke and P{\'e}ter Herm{\'a}n and M{\'a}rton
Hajnal",
title = "Fractal and noisy {CBV} dynamics in humans: influence
of age and gender",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "26",
number = "7",
pages = "891--898",
day = "16",
month = nov,
year = "2005",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1038/sj.jcbfm.9600243",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v26/n7/full/9600243a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Fairthorne:2005:PDE,
author = "Robert A. Fairthorne",
title = "Progress in Documentation: Empirical Hyperbolic
Distributions ({Bradford--Zipf--Mandelbrot}) for
Bibliometric Description and Prediction",
journal = j-J-DOC,
volume = "61",
number = "2",
pages = "171--193",
month = "????",
year = "2005",
CODEN = "JDOCAS",
DOI = "https://doi.org/10.1108/00220410510585179",
ISSN = "0022-0418 (print), 1758-7379 (electronic)",
ISSN-L = "0022-0418",
bibdate = "Fri Nov 25 06:27:27 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
note = "Reprint of \cite{Fairthorne:1969:PDE}.",
acknowledgement = ack-nhfb,
fjournal = "Journal of Documentation",
journal-URL = "http://www.emeraldinsight.com/loi/jd",
remark = "According to \cite{Potter:1981:LLR}, this paper is the
first to link the distributions of Bradford, Zipf,
Mandelbrot, and Lotka.",
}
@Article{Herman:2005:FCS,
author = "Peter Herman and Ikuhiro Kida and Basavaraju G.
Sanganahalli and Fahmeed Hyder and Andras Eke",
title = "Fractal correlation structure in {fMRI} data of rat
brain",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "25",
number = "1s",
pages = "S379--S379",
day = "15",
month = jul,
year = "2005",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1038/sj.jcbfm.9591524.0379",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0379a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Herman:2005:FPL,
author = "Peter Herman and Hubert Tr{\"u}bel and Fahmeed Hyder
and Andras Eke",
title = "Fractal patterns of local and global {CBF} in rat
brain during hypotension",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "25",
number = "1s",
pages = "S195--S195",
day = "15",
month = jul,
year = "2005",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1038/sj.jcbfm.9591524.0195",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0195a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Herman:2005:FPN,
author = "Peter Herman and Shaun A. Wahab and Andras Eke and
Fahmeed Hyder",
title = "Fractal properties of neurophysiologic signals in rat
somatosensory cortex",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "25",
number = "1s",
pages = "S186--S186",
day = "15",
month = jul,
year = "2005",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1038/sj.jcbfm.9591524.0186",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0186a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Hertling:2005:MSC,
author = "Peter Hertling",
title = "Is the {Mandelbrot} set computable?",
journal = j-MATH-LOGIC-QUART,
volume = "51",
number = "1",
pages = "5--18",
month = jan,
year = "2005",
CODEN = "MLQUEF",
DOI = "https://doi.org/10.1002/malq.200310124",
ISSN = "0942-5616 (print), 1521-3870 (electronic)",
ISSN-L = "0942-5616",
bibdate = "Mon Sep 10 06:06:03 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Logic Quarterly: MLQ",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3870",
onlinedate = "25 Nov 2004",
}
@Article{Leversha:2005:RBC,
author = "Gerry Leversha",
title = "Review: {{\booktitle{The Colours of Infinity}} by Ian
Stewart, Arthur C. Clarke, Beno{\^\i}t Mandelbrot,
Michael Barnsley, Louisa Barnsley, Will Rood, Gary
Flake, David Pennock, Robert Prechter, Nigel
Lesmoir-Gordon}",
journal = j-MATH-GAZ,
volume = "89",
number = "514",
pages = "170--171",
month = mar,
year = "2005",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Mon Sep 10 07:17:21 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3620696",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}
@Article{Leys:2005:SIF,
author = "Jos Leys",
title = "Sphere inversion fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "29",
number = "3",
pages = "463--466",
month = jun,
year = "2005",
CODEN = "COGRD2",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Thu Jul 14 18:00:22 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Manaris:2005:ZLM,
author = "Bill Manaris and Juan Romero and Penousal Machado and
Dwight Krehbiel and Timothy Hirzel and Walter Pharr and
Robert B. Davis",
title = "{Zipf}'s law, music classification, and aesthetics",
journal = j-COMP-MUSIC-J,
volume = "29",
number = "1",
pages = "55--69",
month = "Spring",
year = "2005",
CODEN = "CMUJDY",
ISSN = "0148-9267 (print), 1531-5169 (electronic)",
ISSN-L = "0148-9267",
bibdate = "Sat Feb 16 18:40:14 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://muse.jhu.edu/journals/cmj/summary/v029/29.1manaris.html;
http://muse.jhu.edu/journals/computer_music_journal/v029/29.1manaris.pdf",
acknowledgement = ack-nhfb,
fjournal = "Computer Music Journal",
keywords = "Benford's Law; Zipf's Law; Zipf--Mandelbrot Law",
}
@Article{Maslov:2005:GTS,
author = "V. P. Maslov",
title = "On a general theorem of set theory that leads to the
{Gibbs}, {Bose--Einstein}, and {Pareto} distributions
and to the {Zipf--Mandelbrot} law for the stock
market",
journal = j-MAT-ZAMETKI,
volume = "78",
number = "6",
pages = "870--877",
month = "????",
year = "2005",
CODEN = "????",
DOI = "https://doi.org/10.1007/s11006-005-0186-9",
ISSN = "0025-567X",
MRclass = "91B28 (90C29)",
MRnumber = "2249037 (2007b:91077)",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Rossi{\u\i}skaya Akademiya Nauk. Matematicheskie
Zametki",
journal-URL = "https://doi.org/10.1007/s11006-005-0186-9",
}
@Article{Maslov:2005:ZML,
author = "V. P. Maslov",
title = "The {Zipf--Mandelbrot} law: quantization and an
application to the stock market",
journal = j-RUSS-J-MATH-PHYS,
volume = "12",
number = "4",
pages = "483--488",
month = "????",
year = "2005",
CODEN = "RJMPEL",
ISSN = "1061-9208 (print), 1555-6638 (electronic)",
ISSN-L = "1061-9208",
MRclass = "91B28 (82B99)",
MRnumber = "2201312 (2006i:91053)",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Russian Journal of Mathematical Physics",
}
@Article{Melo:2005:EPC,
author = "Cesar A. V. Melo and Nelson L. S. da Fonseca",
title = "Envelope process and computation of the equivalent
bandwidth of multifractal flows",
journal = j-COMP-NET-AMSTERDAM,
volume = "48",
number = "3",
pages = "351--375",
day = "21",
month = jun,
year = "2005",
CODEN = "????",
ISSN = "1389-1286 (print), 1872-7069 (electronic)",
ISSN-L = "1389-1286",
bibdate = "Thu Jul 14 17:03:08 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compnetamsterdam2000.bib;
http://www.sciencedirect.com/science/journal/13891286",
acknowledgement = ack-nhfb,
fjournal = "Computer Networks (Amsterdam, Netherlands: 1999)",
journal-URL = "http://www.sciencedirect.com/science/journal/13891286",
}
@Article{Oku:2005:DMC,
author = "Naohiko Oku and Kenya Murase and Kazuo Kitagawa and
Yasuyuki Kimura and Katsufumi Kajimoto and Ashik Bin
Anser and Makiko Tanaka and Hiroki Katoh and Masatsugu
Hori and Jun Hatazawa and others",
title = "Diagnosis of mild cognitive impairment using fractal
analysis in {CBF SPECT}",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "25",
number = "1s",
pages = "S357--S357",
day = "15",
month = jul,
year = "2005",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1038/sj.jcbfm.9591524.0357",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v25/n1s/full/9591524.0357a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Schilling:2005:RBC,
author = "Ren{\'e} L. Schilling",
title = "Review: {{\booktitle{Fractals and Chaos. The
Mandelbrot Set and beyond}} by Beno{\^\i}t B.
Mandelbrot}",
journal = j-MATH-GAZ,
volume = "89",
number = "514",
pages = "168--168",
month = mar,
year = "2005",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/3620693",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}
@Article{Shlyk:2005:SSE,
author = "V. A. Shlyk",
title = "He has scratched the surface of everything: on the
eightieth birthday of {Beno{\^\i}t Mandelbrot}",
journal = "Izv. Chelyabinsk. Nauchn. Tsentra",
volume = "3",
number = "29",
pages = "107--124",
month = "????",
year = "2005",
CODEN = "????",
ISSN = "1727-7434",
MRclass = "01A70",
MRnumber = "2191830",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Izvestiya Chelyabinskogo Nauchnogo Tsentra.
Proceedings of the Chelyabinsk Scientific Center",
}
@Article{Veitch:2005:MTI,
author = "Darryl Veitch and Nicolas Hohn and Patrice Abry",
title = "Multifractality in {TCP\slash IP} traffic: the case
against",
journal = j-COMP-NET-AMSTERDAM,
volume = "48",
number = "3",
pages = "293--313",
day = "21",
month = jun,
year = "2005",
CODEN = "????",
ISSN = "1389-1286 (print), 1872-7069 (electronic)",
ISSN-L = "1389-1286",
bibdate = "Thu Jul 14 17:03:08 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compnetamsterdam2000.bib;
http://www.sciencedirect.com/science/journal/13891286",
acknowledgement = ack-nhfb,
fjournal = "Computer Networks (Amsterdam, Netherlands: 1999)",
journal-URL = "http://www.sciencedirect.com/science/journal/13891286",
}
@InProceedings{Weibel:2005:MFGa,
author = "E. R. Weibel",
title = "{Mandelbrot}'s Fractals and the Geometry of Life: A
Tribute to {Beno{\^\i}t Mandelbrot} on his 80$^{\rm
th}$ Birthday",
crossref = "Weibel:2005:MFGb",
pages = "3--16",
year = "2005",
bibdate = "Fri Jun 07 08:08:46 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Winslett:2005:CFS,
author = "Marianne Winslett",
title = "{Christos Faloutsos} speaks out: on power laws,
fractals, the future of data mining, sabbaticals, and
more",
journal = j-SIGMOD,
volume = "34",
number = "4",
pages = "85--89",
month = dec,
year = "2005",
CODEN = "SRECD8",
ISSN = "0163-5808 (print), 1943-5835 (electronic)",
ISSN-L = "0163-5808",
bibdate = "Wed Dec 28 05:56:34 MST 2005",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/sigmod.bib",
acknowledgement = ack-nhfb,
fjournal = "SIGMOD Record (ACM Special Interest Group on
Management of Data)",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J689",
}
@Article{Wong:2005:FEF,
author = "Angeline Wong and Leejay Wu and Phillip B. Gibbons and
Christos Faloutsos",
title = "Fast estimation of fractal dimension and correlation
integral on stream data",
journal = j-INFO-PROC-LETT,
volume = "93",
number = "2",
pages = "91--97",
day = "31",
month = jan,
year = "2005",
CODEN = "IFPLAT",
ISSN = "0020-0190 (print), 1872-6119 (electronic)",
ISSN-L = "0020-0190",
bibdate = "Thu Mar 31 18:40:58 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/infoproc2000.bib;
http://www.sciencedirect.com/science/journal/00200190",
acknowledgement = ack-nhfb,
fjournal = "Information Processing Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/00200190",
}
@Article{Agop:2006:GTF,
author = "M. Agop and I. Gottlieb",
title = "Gravitation theory in a fractal space-time",
journal = j-J-MATH-PHYS,
volume = "47",
number = "5",
pages = "053503",
month = may,
year = "2006",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.2196747",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Oct 26 09:04:18 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v47/i5/p053503_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "5 May 2006",
pagecount = "17",
}
@Article{Anonymous:2006:FF,
author = "Anonymous",
title = "Fractal Feat",
journal = j-SCIENCE,
volume = "312",
number = "5781",
pages = "1712--1712",
day = "23",
month = jun,
year = "2006",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.312.5781.1712l",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/312/5781/1712.12.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Bourke:2006:IAF,
author = "Paul Bourke",
title = "An introduction to the {Apollonian} fractal",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "30",
number = "1",
pages = "134--136",
month = feb,
year = "2006",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2005.10.017",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:41:52 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849305002189",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Eftekhari:2006:SED,
author = "Ali Eftekhari and Mahmood Kazemzad and Mansoor
Keyanpour-Rad",
title = "Significant Effect of Dopant Size on Nanoscale Fractal
Structure of Polypyrrole Film",
journal = j-POLYMER-J-TOKYO,
volume = "38",
number = "8",
pages = "781--785",
day = "30",
month = jun,
year = "2006",
CODEN = "POLJB8",
DOI = "https://doi.org/10.1295/polymj.PJ2005173",
ISSN = "????",
ISSN-L = "0032-3896",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/pj/journal/v38/n8/abs/pj2006105a.html",
acknowledgement = ack-nhfb,
fjournal = "Polymer Journal (Tokyo, Japan)",
journal-URL = "http://www.nature.com/pj/archive",
}
@Article{Gaite:2006:CSZ,
author = "Jos{\'e} Gaite",
title = "Cut-out sets and the {Zipf} law for fractal voids",
journal = j-PHYSICA-D,
volume = "223",
number = "2",
pages = "248--255",
month = "????",
year = "2006",
CODEN = "PDNPDT",
DOI = "https://doi.org/10.1016/j.physd.2006.09.021",
ISSN = "0167-2789 (print), 1872-8022 (electronic)",
ISSN-L = "0167-2789",
MRclass = "28A80",
MRnumber = "2307212",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Physica D. Nonlinear Phenomena",
journal-URL = "http://www.sciencedirect.com/science/journal/01672789",
}
@Article{Imre:2006:AFD,
author = "Attila R. Imre",
title = "Artificial fractal dimension obtained by using
perimeter--area relationship on digitalized images",
journal = j-APPL-MATH-COMP,
volume = "173",
number = "1",
pages = "443--449",
day = "1",
month = feb,
year = "2006",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2005.04.042",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:02:52 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300305003644",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Izsak:2006:MLE,
author = "F. Izs{\'a}k",
title = "Maximum likelihood estimation for constrained
parameters of multinomial distributions --- application
to {Zipf--Mandelbrot} models",
journal = j-COMPUT-STAT-DATA-ANAL,
volume = "51",
number = "3",
pages = "1575--1583",
month = "????",
year = "2006",
CODEN = "CSDADW",
DOI = "https://doi.org/10.1016/j.csda.2006.05.008",
ISSN = "0167-9473 (print), 1872-7352 (electronic)",
ISSN-L = "0167-9473",
MRnumber = "2307527",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Computational Statistics \& Data Analysis",
journal-URL = "http://www.sciencedirect.com/science/journal/01679473",
}
@Article{Izsak:2006:SPA,
author = "J{\'a}nos Izs{\'a}k",
title = "Some practical aspects of fitting and testing the
{Zipf--Mandelbrot} model",
journal = j-SCIENTOMETRICS,
volume = "67",
number = "1",
pages = "107--120",
month = apr,
year = "2006",
CODEN = "SCNTDX",
DOI = "https://doi.org/10.1007/s11192-006-0052-x",
ISSN = "0138-9130 (print), 1588-2861 (electronic)",
ISSN-L = "0138-9130",
bibdate = "Wed Sep 2 12:04:48 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/scientometrics2000.bib",
URL = "http://link.springer.com/article/10.1007/s11192-006-0052-x",
acknowledgement = ack-nhfb,
fjournal = "Scientometrics",
journal-URL = "http://link.springer.com/journal/11192",
}
@Article{Jones-Smith:2006:FAR,
author = "Katherine Jones-Smith and Harsh Mathur",
title = "Fractal Analysis: Revisiting {Pollock}'s drip
paintings",
journal = j-NATURE,
volume = "444",
number = "7119",
pages = "E9--E10",
day = "29",
month = nov,
year = "2006",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/nature05398",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v444/n7119/full/nature05398.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Kohler:2006:OSA,
author = "Eddie Kohler and Jinyang Li and Vern Paxson and Scott
Shenker",
title = "Observed structure of addresses in {IP} traffic",
journal = j-IEEE-TRANS-NETWORKING,
volume = "14",
number = "6",
pages = "1207--1218",
month = dec,
year = "2006",
CODEN = "IEANEP",
ISSN = "1063-6692 (print), 1558-2566 (electronic)",
ISSN-L = "1063-6692",
bibdate = "Thu Jun 19 09:53:08 MDT 2008",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib",
abstract = "We investigate the structure of addresses contained in
IPv4 traffic--specifically, the structural
characteristics of destination IP addresses seen on
Internet links, considered as a subset of the address
space. These characteristics have implications for
algorithms that deal with IP address aggregates, such
as routing lookups and aggregate-based congestion
control. Several example address structures are well
modeled by multifractal Cantor-like sets with two
parameters. This model may be useful for simulations
where realistic IP addresses are preferred. We also
develop concise characterizations of address
structures, including active aggregate counts and
discriminating prefixes. Our structural
characterizations are stable over short time scales at
a given site, and different sites have visibly
different characterizations, so that the
characterizations make useful `fingerprints' of the
traffic seen at a site. Also, changing traffic
conditions, such as worm propagation, significantly
alter these fingerprints.",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Networking",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J771",
keywords = "address space; address structures; multifractals;
network measurement",
}
@Article{Kristiansen:2006:BTZ,
author = "K. de Lange Kristiansen and G. Helgesen and A. T.
Skjeltorp",
title = "Braid theory and {Zipf--Mandelbrot} relation used in
microparticle dynamics",
journal = j-EUR-PHYS-J-B,
volume = "51",
number = "3",
pages = "363--371",
month = jun,
year = "2006",
CODEN = "EPJBFY",
DOI = "https://doi.org/10.1140/epjb/e2006-00241-7",
ISSN = "1434-6028 (print), 1434-6036 (electronic)",
ISSN-L = "1434-6028",
bibdate = "Sat Sep 8 18:31:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "European Physical Journal B: Condensed Matter and
Complex Systems",
journal-URL = "http://link.springer.com/journal/10051",
}
@Article{Liu:2006:BRS,
author = "Nelson Liu",
title = "Book Reviews: a Summary of Multifractal Traffic
Modeling",
journal = j-IEEE-DISTRIB-SYST-ONLINE,
volume = "7",
number = "3",
pages = "??--??",
month = mar,
year = "2006",
CODEN = "????",
ISSN = "1541-4922 (print), 1558-1683 (electronic)",
ISSN-L = "1541-4922",
bibdate = "Mon Aug 30 23:14:33 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeedistribsystonline.bib",
URL = "http://csdl.computer.org/comp/mags/ds/2006/03/o3008.pdf",
acknowledgement = ack-nhfb,
fjournal = "IEEE Distributed Systems Online",
}
@Article{Maslov:2006:RZM,
author = "V. P. Maslov",
title = "A refinement of the {Zipf--Mandelbrot} law and
lacunarity in an ideal gas",
journal = j-TEORET-MATH-FIZ,
volume = "147",
number = "3",
pages = "511--512",
month = "????",
year = "2006",
CODEN = "TMFZAL",
DOI = "https://doi.org/10.1007/s11232-006-0083-8",
ISSN = "0564-6162",
MRclass = "82B10",
MRnumber = "2254729 (2007d:82007)",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Rossi{\u\i}skaya Akademiya Nauk. Teoreticheskaya i
Matematicheskaya Fizika",
journal-URL = "http://link.springer.com/journal/11232",
}
@Article{Newkome:2006:NFP,
author = "George R. Newkome and Pingshan Wang and Charles N.
Moorefield and Tae Joon Cho and Prabhu P. Mohapatra and
Sinan Li and Seok-Ho Hwang and Olena Lukoyanova and
Luis Echegoyen and Judith A. Palagallo and Violeta
Iancu and Saw-Wai Hla",
title = "Nanoassembly of a Fractal Polymer: {A} Molecular
{`Sierpinski Hexagonal Gasket'}",
journal = j-SCIENCE,
volume = "312",
number = "5781",
pages = "1782--1785",
day = "23",
month = jun,
year = "2006",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.1125894",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/312/5781/1782.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Park:2006:UOS,
author = "Moongyu Park and John H. Cushman",
title = "On upscaling operator-stable {L{\'e}vy} motions in
fractal porous media",
journal = j-J-COMPUT-PHYS,
volume = "217",
number = "1",
pages = "159--165",
day = "1",
month = sep,
year = "2006",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2006.01.027",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 22:13:23 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999106000362",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Ribeiro:2006:MQA,
author = "Vinay J. Ribeiro and Rudolf H. Riedi and Richard G.
Baraniuk",
title = "Multiscale queueing analysis",
journal = j-IEEE-TRANS-NETWORKING,
volume = "14",
number = "5",
pages = "1005--1018",
month = oct,
year = "2006",
CODEN = "IEANEP",
ISSN = "1063-6692 (print), 1558-2566 (electronic)",
ISSN-L = "1063-6692",
bibdate = "Thu Jun 19 09:52:20 MDT 2008",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib",
abstract = "This paper introduces a new multiscale framework for
estimating the tail probability of a queue fed by an
arbitrary traffic process. Using traffic statistics at
a small number of time scales, our analysis extends the
theoretical concept of the critical time scale and
provides practical approximations for the tail queue
probability. These approximations are non-asymptotic;
that is, they apply to any finite queue threshold.
While our approach applies to any traffic process, it
is particularly apt for long-range-dependent (LRD)
traffic. For LRD fractional Brownian motion, we prove
that a sparse exponential spacing of time scales yields
optimal performance. Simulations with LRD traffic
models and real Internet traces demonstrate the
accuracy of the approach. Finally, simulations reveal
that the marginals of traffic at multiple time scales
have a strong influence on queueing that is not
captured well by its global second-order correlation in
non-Gaussian scenarios.",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Networking",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J771",
keywords = "admission control; critical time scale; fractional
Brownian motion; long-range dependence; marginals;
multifractals; multiscale; network provisioning;
queueing; wavelets",
}
@Article{Risser:2006:HFN,
author = "Laurent Risser and Franck Plourabou{\'e} and Alexandre
Steyer and Peter Cloetens and G{\'e}raldine Le Duc and
Caroline Fonta and others",
title = "From homogeneous to fractal normal and tumorous
microvascular networks in the brain",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "27",
number = "2",
pages = "293--303",
day = "24",
month = may,
year = "2006",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1038/sj.jcbfm.9600332",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v27/n2/full/9600332a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Ritter:2006:RTI,
author = "Felix Ritter and Christian Hansen and Volker Dicken
and Olaf Konrad and Bernhard Preim and Heinz-Otto
Peitgen",
title = "Real-Time Illustration of Vascular Structures",
journal = j-IEEE-TRANS-VIS-COMPUT-GRAPH,
volume = "12",
number = "5",
pages = "877--884",
month = sep # "\slash " # oct,
year = "2006",
CODEN = "ITVGEA",
DOI = "https://doi.org/10.1109/TVCG.2006.172",
ISSN = "1077-2626 (print), 1941-0506 (electronic), 2160-9306",
ISSN-L = "1077-2626",
bibdate = "Thu Jul 3 15:20:21 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransviscomputgraph.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Visualization and Computer
Graphics",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2945",
}
@Article{Romera:2006:EAM,
author = "M. Romera and G. Pastor and G. Alvarez and F.
Montoya",
title = "External arguments in the multiple-spiral medallions
of the {Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "30",
number = "3",
pages = "460--469",
month = jun,
year = "2006",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2006.02.010",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:41:53 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849306000690",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Taylor:2006:FAR,
author = "R. P. Taylor and A. P. Micolich and D. Jonas",
title = "Fractal Analysis: Revisiting {Pollock}'s drip
paintings (Reply)",
journal = j-NATURE,
volume = "444",
number = "7119",
pages = "E10--E11",
day = "29",
month = nov,
year = "2006",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/nature05399",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v444/n7119/full/nature05399.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Turiel:2006:NME,
author = "Antonio Turiel and Conrad J. P{\'e}rez-Vicente and
Jacopo Grazzini",
title = "Numerical methods for the estimation of multifractal
singularity spectra on sampled data: a comparative
study",
journal = j-J-COMPUT-PHYS,
volume = "216",
number = "1",
pages = "362--390",
day = "20",
month = jul,
year = "2006",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2005.12.004",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 22:13:21 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999105005565",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{VanLoocke:2006:SBF,
author = "Philip {Van Loocke} and Yannick Joye",
title = "Symmetry breaking in fields as a methodology for
three-dimensional fractal form generation",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "30",
number = "5",
pages = "843--853",
month = oct,
year = "2006",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2006.07.026",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:41:54 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849306001324",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Wang:2006:RFS,
author = "Xingyuan Wang and Peijun Chang",
title = "Research on fractal structure of generalized {M--J}
sets utilized {Lyapunov} exponents and periodic
scanning techniques",
journal = j-APPL-MATH-COMP,
volume = "175",
number = "2",
pages = "1007--1025",
day = "15",
month = apr,
year = "2006",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2005.08.015",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:02:54 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300305006582",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Zakeri:2006:BPM,
author = "Saeed Zakeri",
title = "On Biaccessible Points of the {Mandelbrot} Set",
journal = j-PROC-AM-MATH-SOC,
volume = "134",
number = "8",
pages = "2239--2250",
month = aug,
year = "2006",
CODEN = "PAMYAR",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
bibdate = "Mon Sep 10 07:17:32 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.jstor.org/stable/4098261",
acknowledgement = ack-nhfb,
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
}
@Article{Zhu:2006:AFT,
author = "Xuegui Zhu and Yi Wang and Jianming Zan and Chuanbing
Li",
title = "Application of fractal theory in generation and
refinement of finite element mesh",
journal = j-APPL-MATH-COMP,
volume = "175",
number = "2",
pages = "1039--1045",
day = "15",
month = apr,
year = "2006",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2005.08.017",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:02:54 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300305006600",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Achdou:2007:TBC,
author = "Yves Achdou and Christophe Sabot and Nicoletta Tchou",
title = "Transparent boundary conditions for the {Helmholtz}
equation in some ramified domains with a fractal
boundary",
journal = j-J-COMPUT-PHYS,
volume = "220",
number = "2",
pages = "712--739",
day = "10",
month = jan,
year = "2007",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2006.05.033",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 22:13:27 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999106002567",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Alderton:2007:CDF,
author = "Gemma K. Alderton",
title = "Cell division: Fractal cycling",
journal = j-NATURE-REV-MOL-CELL-BIOL,
volume = "8",
number = "11",
pages = "850--851",
month = nov,
year = "2007",
CODEN = "NRMCBP",
DOI = "https://doi.org/10.1038/nrm2284",
ISSN = "1471-0072 (print), 1471-0080 (electronic)",
ISSN-L = "1471-0072",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nrm/journal/v8/n11/full/nrm2284.html",
acknowledgement = ack-nhfb,
fjournal = "Nature Reviews Molecular Cell Biology",
journal-URL = "http://www.nature.com/nrm/archive/",
}
@Article{Browne:2007:IF,
author = "Cameron Browne",
title = "Impossible fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "31",
number = "4",
pages = "659--667",
month = aug,
year = "2007",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2007.02.016",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:41:56 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849307000799",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Cheskidov:2007:EDF,
author = "Alexey Cheskidov and Charles R. Doering and Nikola P.
Petrov",
title = "Energy dissipation in fractal-forced flow",
journal = j-J-MATH-PHYS,
volume = "48",
number = "6",
pages = "065208",
month = jun,
year = "2007",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.2425101",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Oct 26 09:05:10 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v48/i6/p065208_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "7 June 2007",
pagecount = "10",
}
@Article{Chester:2007:MTF,
author = "Stuart Chester and Charles Meneveau and Marc B.
Parlange",
title = "Modeling turbulent flow over fractal trees with
renormalized numerical simulation",
journal = j-J-COMPUT-PHYS,
volume = "225",
number = "1",
pages = "427--448",
day = "1",
month = jul,
year = "2007",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2006.12.009",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 22:13:38 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999106005997",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Fraysse:2007:GVM,
author = "A. Fraysse",
title = "Generic Validity of the Multifractal Formalism",
journal = j-SIAM-J-MATH-ANA,
volume = "39",
number = "2",
pages = "593--607",
month = "????",
year = "2007",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
bibdate = "Wed May 19 06:45:12 MDT 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/39/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana2000.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Gurevich:2007:MAT,
author = "B. M. Gurevich and A. A. Tempelman",
title = "Multifractal Analysis of Time Averages for Continuous
Vector Functions on Configuration Space",
journal = j-THEORY-PROBAB-APPL,
volume = "51",
number = "1",
pages = "78--91",
month = "????",
year = "2007",
CODEN = "TPRBAU",
DOI = "https://doi.org/10.1137/S0040585X97982207",
ISSN = "0040-585X (print), 1095-7219 (electronic)",
ISSN-L = "0040-585X",
bibdate = "Wed May 19 18:14:58 MDT 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/TVP/51/1;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/theoryprobabappl.bib",
acknowledgement = ack-nhfb,
fjournal = "Theory of Probability and its Applications",
journal-URL = "http://epubs.siam.org/tvp",
}
@Article{Hasumi:2007:ITS,
author = "Tomohiro Hasumi",
title = "Interoccurrence time statistics in the two-dimensional
{Burridge--Knopoff} earthquake model",
journal = j-PHYS-REV-E,
volume = "76",
number = "??",
pages = "026117",
day = "29",
month = aug,
year = "2007",
CODEN = "PLEEE8",
DOI = "https://doi.org/10.1103/PhysRevE.76.026117",
ISSN = "1539-3755 (print), 1550-2376 (electronic)",
ISSN-L = "1539-3755",
bibdate = "Tue Feb 26 06:40:57 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://link.aps.org/doi/10.1103/PhysRevE.76.026117",
acknowledgement = ack-nhfb,
fjournal = "Physical Review E (Statistical physics, plasmas,
fluids, and related interdisciplinary topics)",
journal-URL = "http://pre.aps.org/browse",
keywords = "Zipf--Mandelbrot law",
}
@Article{Narayaninsamy:2007:MCI,
author = "T. Narayaninsamy",
title = "A method to construct irregular fractal curves",
journal = j-APPL-MATH-COMP,
volume = "192",
number = "1",
pages = "260--273",
day = "1",
month = sep,
year = "2007",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2007.02.120",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:08 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300307002925",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Pickstone:2007:BRM,
author = "John Pickstone",
title = "Book Review: {Margaret Pelling and Scott Mandelbrote
(eds.), The Practice of Reform in Health, Medicine, and
Science, 1500--2000: Essays for Charles Webster.
Aldershot: Ashgate, 2005. Pp. xv + 376. ISBN
0-7546-3933-9. \pounds 60.00 (hardback)}",
journal = j-BRITISH-J-HIST-SCI,
volume = "40",
number = "3",
pages = "465--466",
month = sep,
year = "2007",
CODEN = "BJHSAT",
DOI = "https://doi.org/10.1017/S0007087407000246",
ISSN = "0007-0874 (print), 1474-001X (electronic)",
ISSN-L = "0007-0874",
bibdate = "Thu Sep 23 07:34:43 MDT 2010",
bibsource = "http://journals.cambridge.org/action/displayJournal?jid=BJH;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/bjhs2000.bib",
URL = "http://www.jstor.org/stable/4500767",
acknowledgement = ack-nhfb,
fjournal = "British Journal for the History of Science",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=BJH",
}
@Article{Singh:2007:VU,
author = "Gary Singh",
title = "Vamping on Ultrafractal",
journal = j-IEEE-CGA,
volume = "27",
number = "1",
pages = "4--5",
month = jan # "\slash " # feb,
year = "2007",
CODEN = "ICGADZ",
DOI = "https://doi.org/10.1109/MCG.2007.24",
ISSN = "0272-1716 (print), 1558-1756 (electronic)",
ISSN-L = "0272-1716",
bibdate = "Thu Jul 3 10:16:13 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeecga.bib",
URL = "http://csdl.computer.org/comp/mags/cg/2007/01/g1004.pdf",
acknowledgement = ack-nhfb,
fjournal = "IEEE Computer Graphics and Applications",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/cga",
}
@Article{Slater:2007:FFR,
author = "P. B. Slater",
title = "Fractal fits to {Riemann} zeros",
journal = j-CAN-J-PHYS,
volume = "85",
number = "4",
pages = "345--357",
year = "2007",
CODEN = "CJPHAD",
DOI = "https://doi.org/10.1139/p07-050",
ISSN = "0008-4204 (print), 1208-6045 (electronic)",
ISSN-L = "0008-4204",
bibdate = "Sat Sep 8 18:28:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nrcresearchpress.com/doi/abs/10.1139/p07-050",
acknowledgement = ack-nhfb,
eprint = "http://www.nrcresearchpress.com/doi/pdf/10.1139/p07-050",
fjournal = "Canadian Journal of Physics = Journal canadien de
physique",
journal-URL = "http://www.nrcresearchpress.com/journal/cjp",
}
@Article{Soehle:2007:VFA,
author = "Martin Soehle and Marek Czosnyka and Doris A.
Chatfield and Andreas Hoeft and Alonso Pe{\~n}a",
title = "Variability and fractal analysis of middle cerebral
artery blood flow velocity and arterial blood pressure
in subarachnoid hemorrhage",
journal = j-J-CEREB-BLOOD-FLOW-METAB,
volume = "28",
number = "1",
pages = "64--73",
day = "2",
month = may,
year = "2007",
CODEN = "JCBMDN",
DOI = "https://doi.org/10.1038/sj.jcbfm.9600506",
ISSN = "0271-678X (print), 1559-7016 (electronic)",
ISSN-L = "0271-678X",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/jcbfm/journal/v28/n1/full/9600506a.html",
acknowledgement = ack-nhfb,
fjournal = "Journal of Cerebral Blood Flow and Metabolism",
journal-URL = "http://jcb.sagepub.com/content/by/year",
}
@Article{Uthayakumar:2007:ACF,
author = "R. Uthayakumar and P. Paramanathan",
title = "An algorithm for computing fractal dimension of
rectifiable irregular graphs",
journal = j-APPL-MATH-COMP,
volume = "190",
number = "1",
pages = "305--308",
day = "1",
month = jul,
year = "2007",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2007.01.048",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:06 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300307000501",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Wang:2007:APG,
author = "Xing-yuan Wang and Pei-jun Chang and Ni-ni Gu",
title = "Additive perturbed generalized {Mandelbrot--Julia}
sets",
journal = j-APPL-MATH-COMP,
volume = "189",
number = "1",
pages = "754--765",
day = "1",
month = jun,
year = "2007",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2006.11.137",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:05 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300306016535",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Xingyuan:2007:VGF,
author = "Wang Xingyuan and Yu Xuejing",
title = "Visualizing generalized $ 3 x + 1 $ function dynamics
based on fractal",
journal = j-APPL-MATH-COMP,
volume = "188",
number = "1",
pages = "234--243",
day = "1",
month = may,
year = "2007",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2006.07.168",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:04 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300306013439",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@InCollection{Barcellos:2008:BM,
author = "Anthony Barcellos",
title = "{Beno{\^\i}t Mandelbrot}",
crossref = "Albers:2008:MPP",
pages = "213--234",
year = "2008",
bibdate = "Thu May 14 06:36:55 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Article{Korkut:2008:GFI,
author = "Luka Korkut and Domagoj Vlah and Darko
{\v{Z}}ubrini{\'c} and Vesna {\v{Z}}upanovi{\'c}",
title = "Generalized {Fresnel} integrals and fractal properties
of related spirals",
journal = j-APPL-MATH-COMP,
volume = "206",
number = "1",
pages = "236--244",
day = "1",
month = dec,
year = "2008",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2008.09.009",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:23 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300308006723",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Book{Lapidus:2008:SRZ,
author = "Michel L. (Michel Laurent) Lapidus",
title = "In search of the {Riemann} zeros: strings, fractal
membranes and noncommutative spacetimes",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xxix + 558",
year = "2008",
ISBN = "0-8218-4222-6",
ISBN-13 = "978-0-8218-4222-5",
LCCN = "QA333 .L37 2008",
bibdate = "Fri Aug 14 21:10:27 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Riemann surfaces; functions, zeta; string models;
number theory; fractals; space and time; geometry",
}
@Article{Liao:2008:FBR,
author = "Iman Yi Liao and Maria Petrou and Rongchun Zhao",
title = "A fractal-based relaxation algorithm for shape from
terrain image",
journal = j-COMP-VIS-IMAGE-UNDERSTANDING,
volume = "109",
number = "3",
pages = "227--243",
month = mar,
year = "2008",
CODEN = "CVIUF4",
ISSN = "1077-3142 (print), 1090-235X (electronic)",
ISSN-L = "1077-3142",
bibdate = "Sat Apr 2 10:55:54 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cvgip.bib;
http://www.sciencedirect.com/science/journal/10773142",
acknowledgement = ack-nhfb,
fjournal = "Computer Vision and Image Understanding",
journal-URL = "http://www.sciencedirect.com/science/journal/10773142",
}
@Article{Ma:2008:PLS,
author = "D. Ma and A. D. Stoica and X.-L. Wang",
title = "Power-law scaling and fractal nature of medium-range
order in metallic glasses",
journal = j-NATURE-MATER,
volume = "8",
number = "1",
pages = "30--34",
day = "7",
month = dec,
year = "2008",
CODEN = "NMAACR",
DOI = "https://doi.org/10.1038/nmat2340",
ISSN = "1476-1122 (print), 1476-4660 (electronic)",
ISSN-L = "1476-1122",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nmat/journal/v8/n1/full/nmat2340.html",
acknowledgement = ack-nhfb,
ajournal = "Nat. Mater.",
fjournal = "Nature Materials",
journal-URL = "http://www.nature.com/nmat/",
}
@Article{Maccari:2008:CFC,
author = "Attilio Maccari",
title = "Chaotic, fractal, and coherent solutions for a new
integrable system of equations in $ 2 + 1 $
dimensions",
journal = j-J-MATH-PHYS,
volume = "49",
number = "2",
pages = "022702",
month = feb,
year = "2008",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1063/1.2840915",
ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
ISSN-L = "0022-2488",
bibdate = "Wed Oct 26 09:05:45 MDT 2011",
bibsource = "http://www.aip.org/ojs/jmp.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jmathphys2005.bib",
URL = "http://jmp.aip.org/resource/1/jmapaq/v49/i2/p022702_s1",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
onlinedate = "12 February 2008",
pagecount = "14",
}
@Article{McIntyre-Mills:2008:MBM,
author = "Janet J. McIntyre-Mills",
title = "{M{\"o}bius} bands and {Mandelbrot} sets as metaphors
for systemic praxis",
journal = j-SYST-RES-BEHAV-SCI,
volume = "25",
number = "2",
pages = "323--329",
month = mar,
year = "2008",
CODEN = "SRBSF9",
DOI = "https://doi.org/10.1002/sres.889",
ISSN = "1092-7026 (print), 1099-1743 (electronic)",
ISSN-L = "1092-7026",
bibdate = "Mon Sep 10 06:10:51 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Systems Research and Behavioral Science",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1743a",
onlinedate = "29 Jul 2008",
}
@Article{Paramanathan:2008:ACF,
author = "P. Paramanathan and R. Uthayakumar",
title = "An algorithm for computing the fractal dimension of
waveforms",
journal = j-APPL-MATH-COMP,
volume = "195",
number = "2",
pages = "598--603",
day = "1",
month = feb,
year = "2008",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2007.05.011",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Sat Jul 12 09:03:10 MDT 2008",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300307005899",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Romera:2008:DCE,
author = "M. Romera and G. Alvarez and D. Arroyo and A. B. Orue
and V. Fernandez and G. Pastor",
title = "Drawing and computing external rays in the
multiple-spiral medallions of the {Mandelbrot} set",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "32",
number = "5",
pages = "597--610",
month = oct,
year = "2008",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2008.04.005",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:41:58 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849308000484",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Tsujii:2008:FMT,
author = "Kaoru Tsujii",
title = "Fractal Materials and Their Functional Properties",
journal = j-POLYMER-J-TOKYO,
volume = "40",
number = "9",
pages = "785--799",
day = "28",
month = may,
year = "2008",
CODEN = "POLJB8",
DOI = "https://doi.org/10.1295/polymj.PJ2008053",
ISSN = "0032-3896 (print), 1349-0540 (electronic)",
ISSN-L = "0032-3896",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/pj/journal/v40/n9/abs/pj2008129a.html",
acknowledgement = ack-nhfb,
fjournal = "Polymer Journal (Tokyo, Japan)",
journal-URL = "http://www.nature.com/pj/archive/",
}
@Article{Wang:2008:INS,
author = "Xing-Yuan Wang and Shu-Guo Wang",
title = "An improved no-search fractal image coding method
based on a modified gray-level transform",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "32",
number = "4",
pages = "445--450",
month = aug,
year = "2008",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2008.02.004",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:41:57 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849308000320",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Barral:2009:DMC,
author = "Julien Barral and Jacques Peyri{\`e}re and Zhi-Ying
Wen",
title = "Dynamics of {Mandelbrot} cascades",
journal = j-PROBAB-THEORY-RELAT-FIELDS,
volume = "144",
number = "3--4",
pages = "615--631",
month = jul,
year = "2009",
CODEN = "PTRFEU",
DOI = "https://doi.org/10.1007/s00440-008-0156-8",
ISSN = "0178-8051 (print), 1432-2064 (electronic)",
ISSN-L = "0178-8051",
bibdate = "Fri Jun 6 08:20:01 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/probab-theory-relat-fields.bib",
URL = "http://link.springer.com/article/10.1007/s00440-008-0156-8",
acknowledgement = ack-nhfb,
fjournal = "Probability Theory and Related Fields",
journal-URL = "http://link.springer.com/journal/440",
}
@Article{Bouboulis:2009:COM,
author = "P. Bouboulis",
title = "Construction of orthogonal multi-wavelets using
generalized-affine fractal interpolation functions",
journal = j-IMA-J-APPL-MATH,
volume = "74",
number = "6",
pages = "904--933",
month = dec,
year = "2009",
CODEN = "IJAMDM",
DOI = "https://doi.org/10.1093/imamat/hxp027",
ISSN = "0272-4960 (print), 1464-3634 (electronic)",
ISSN-L = "0272-4960",
bibdate = "Tue Mar 16 22:03:39 MDT 2010",
bibsource = "http://imamat.oxfordjournals.org/content/vol74/issue6/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/imajapplmath.bib",
URL = "http://imamat.oxfordjournals.org/cgi/content/abstract/74/6/904;
http://imamat.oxfordjournals.org/cgi/reprint/74/6/904",
acknowledgement = ack-nhfb,
fjournal = "IMA journal of applied mathematics",
journal-URL = "http://imamat.oxfordjournals.org/content/by/year",
}
@Article{Bourke:2009:ESL,
author = "Paul Bourke",
title = "Evaluating {Second Life} for the collaborative
exploration of {$3$D} fractals",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "33",
number = "1",
pages = "113--117",
month = feb,
year = "2009",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2008.08.004",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:41:58 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849308000964",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Chakrabarty:2009:FUI,
author = "Rajan K. Chakrabarty and Mark A. Garro and Shammah
Chancellor and Christopher Herald and Hans
Moosm{\"u}ller",
title = "{FracMAP}: a user-interactive package for performing
simulation and orientation-specific morphology analysis
of fractal-like solid nano-agglomerates",
journal = j-COMP-PHYS-COMM,
volume = "180",
number = "8",
pages = "1376--1381",
month = aug,
year = "2009",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2009.01.026",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 23:42:43 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465509000411",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Feng:2009:FBB,
author = "Benjamin Zhong Ming Feng and Changcheng Huang and
Michael Devetsikiotis",
title = "{FISTE}: a black box approach for end-to-end {QoS}
management",
journal = j-TOMACS,
volume = "19",
number = "4",
pages = "16:1--16:??",
month = oct,
year = "2009",
CODEN = "ATMCEZ",
DOI = "https://doi.org/10.1145/1596519.1596521",
ISSN = "1049-3301 (print), 1558-1195 (electronic)",
ISSN-L = "1049-3301",
bibdate = "Mon Mar 15 09:03:47 MDT 2010",
bibsource = "http://www.acm.org/pubs/contents/journals/tomacs/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tomacs.bib",
abstract = "The goal of traffic engineering is to achieve a target
Quality of Service (QoS) while maximizing network
utilization. While determining the QoS for end-to-end
paths in a network under self-similar traffic models is
difficult, end-to-end network performance analysis is
still essential in providing QoS to networks such as
Virtual Private Networks (VPN) and Peer-to-Peer (P2P)
networks. The Fast Importance Sampling based Traffic
Engineering (FISTE) approach proposed in this article
is a prediction-based approach that maps the ingress
traffic levels of a network to the QoS of end-to-end
path(s) in the network. Because FISTE is a hybrid of
simulation analysis and closed-form analysis, it can
treat a complex network as a black box. When we
combined Simulated Annealing (SA) with FISTE, the
resulting approach can provide a traffic engineering
solution so that multiple end-to-end QoS requirements
are satisfied while the network resource utilization is
maximized. FISTE originated from the concept of
Importance Sampling (IS), and our approach differs from
the previous Importance Sampling based approaches since
this is the first time that IS is applied to
multi-queue systems under Fractional Gaussian Noise
(FGN) input and traffic engineering.",
acknowledgement = ack-nhfb,
articleno = "16",
fjournal = "ACM Transactions on Modeling and Computer Simulation",
journal-URL = "http://portal.acm.org/browse_dl.cfm?&idx=J781",
keywords = "buffer overflow; congestion; end-to-end QoS; fractal
gaussian noise; heuristic search; importance Sampling;
latency; Monte Carlo; Overlay network; packet loss;
peer-to-peer; prediction; response surface;
self-similar; simulated annealing; traffic engineering;
virtual private network",
}
@Article{Gisin:2009:EEV,
author = "Vladimir Gisin and Andrey Markov and Igor Vinukov",
title = "Estimation of extreme values of returns using the
{Zipf--Mandelbrot} flow",
journal = j-INT-J-PURE-APPL-MATH,
volume = "50",
number = "2",
pages = "245--250",
month = "????",
year = "2009",
CODEN = "????",
ISSN = "1311-8080 (print), 1314-3395 (electronic)",
ISSN-L = "1314-3395",
MRclass = "60G70 (91B28 91B84)",
MRnumber = "2488836",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "International Journal of Pure and Applied
Mathematics",
journal-URL = "http://ijpam.eu/",
}
@Article{Grossu:2009:VTE,
author = "I. V. Grossu and C. Besliu and M. V. Rusu and Al. Jipa
and C. C. Bordeianu and D. Felea",
title = "Visual tool for estimating the fractal dimension of
images",
journal = j-COMP-PHYS-COMM,
volume = "180",
number = "10",
pages = "1999--2001",
month = oct,
year = "2009",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2009.05.015",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 23:42:45 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465509001635",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{LaTorre:2009:MVI,
author = "D. {La Torre} and E. R. Vrscay and M. Ebrahimi and M.
F. Barnsley",
title = "Measure-Valued Images, Associated Fractal Transforms,
and the Affine Self-Similarity of Images",
journal = j-SIAM-J-IMAGING-SCI,
volume = "2",
number = "2",
pages = "470--507",
month = "????",
year = "2009",
CODEN = "SJISBI",
ISSN = "1936-4954",
MRclass = "28A80 (28B20 62H35 68U10)",
MRnumber = "MR2519920",
MRreviewer = "Myung-Sin Song",
bibdate = "Wed May 19 21:20:46 MDT 2010",
bibsource = "http://epubs.siam.org/SIIMS/siims_toc.html/2/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjimagingsci.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Imaging Sciences",
journal-URL = "http://epubs.siam.org/siims",
}
@Article{Navarro:2009:UFD,
author = "Juan F. Navarro and M. C. Mart{\'\i}nez",
title = "Universality of fractal dimension on time-independent
{Hamiltonian} systems",
journal = j-APPL-MATH-COMP,
volume = "214",
number = "2",
pages = "462--467",
day = "15",
month = aug,
year = "2009",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2009.04.014",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:25 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300309003415",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Sastre-Vazquez:2009:IGZ,
author = "Patricia Sastre-Vazquez and Yolanda Villacampa and
Jose A. Reyes and Fernando Garcia-Alonso",
title = "Interpretation of the Generalized {Zipf--Mandelbrot}
Law Parameters",
journal = j-CYBERNETICS-SYSTEMS,
volume = "40",
number = "4",
pages = "326--336",
month = "????",
year = "2009",
CODEN = "CYSYDH",
DOI = "https://doi.org/10.1080/01969720902847029",
ISSN = "0196-9722 (print), 1087-6553 (electronic)",
ISSN-L = "0196-9722",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Cybernetics and Systems",
journal-URL = "http://www.tandfonline.com/loi/ucbs20",
}
@Article{Terdik:2009:LFF,
author = "Gy{\"o}rgy Terdik and Tibor Gyires",
title = "{L{\'e}vy} flights and fractal modeling of {Internet}
traffic",
journal = j-IEEE-TRANS-NETWORKING,
volume = "17",
number = "1",
pages = "120--129",
month = feb,
year = "2009",
CODEN = "IEANEP",
DOI = "https://doi.org/10.1109/TNET.2008.925630",
ISSN = "1063-6692 (print), 1558-2566 (electronic)",
ISSN-L = "1063-6692",
bibdate = "Fri Mar 6 16:31:07 MST 2009",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/ieeetransnetworking.bib",
abstract = "The relation between burstiness and self-similarity of
network traffic was identified in numerous papers in
the past decade. These papers suggested that the widely
used Poisson based models were not suitable for
modeling bursty, local-area and wide-area network
traffic. Poisson models were abandoned as unrealistic
and simplistic characterizations of network traffic.
Recent papers have challenged the accuracy of these
results in today's networks. Authors of these papers
believe that it is time to reexamine the Poisson
traffic assumption. The explanation is that as the
amount of Internet traffic grows dramatically, any
irregularity of the network traffic, such as
burstiness, might cancel out because of the huge number
of different multiplexed flows. Some of these results
are based on analyses of particular OC48 Internet
backbone connections and other historical traffic
traces. We analyzed the same traffic traces and applied
new methods to characterize them in terms of packet
interarrival times and packet lengths. The major
contribution of the paper is the application of two new
analytical methods. We apply the theory of smoothly
truncated Levy flights and the linear fractal model in
examining the variability of Internet traffic from
self-similar to Poisson. The paper demonstrates that
the series of interarrival times is still close to a
self-similar process, but the burstiness of the packet
lengths decreases significantly compared to earlier
traces.",
acknowledgement = ack-nhfb,
fjournal = "IEEE\slash ACM Transactions on Networking",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J771",
keywords = "burstiness; fractal modelling; L{\'e} long-range
dependence; network traffic; vy flights",
}
@Article{Timbo:2009:CCC,
author = "C. Timb{\'o} and L. A. R. da Rosa and M.
Gon{\c{c}}alves and S. B. Duarte",
title = "Computational cancer cells identification by fractal
dimension analysis",
journal = j-COMP-PHYS-COMM,
volume = "180",
number = "6",
pages = "850--853",
month = jun,
year = "2009",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2008.12.011",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 23:42:42 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465508004190",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{VanLoocke:2009:NLI,
author = "Philip {Van Loocke}",
title = "Non-linear iterated function systems and the creation
of fractal patterns over regular polygons",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "33",
number = "6",
pages = "698--704",
month = dec,
year = "2009",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2009.05.003",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:42:00 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S009784930900082X",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Xingyuan:2009:GMS,
author = "Wang Xingyuan and Jia Ruihong and Zhang Zhenfeng",
title = "The generalized {Mandelbrot} set perturbed by
composing noise of additive and multiplicative",
journal = j-APPL-MATH-COMP,
volume = "210",
number = "1",
pages = "107--118",
day = "1",
month = apr,
year = "2009",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2008.12.017",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:24 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300308009119",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Yu:2009:SFM,
author = "Zhibin Yu and Hai Jin",
title = "Simple and fast micro-architecture simulation: a
trisection {Cantor} fractal approach",
journal = j-SIGMETRICS,
volume = "37",
number = "2",
pages = "61--62",
month = sep,
year = "2009",
CODEN = "????",
DOI = "https://doi.org/10.1145/1639562.1639586",
ISSN = "0163-5999 (print), 1557-9484 (electronic)",
ISSN-L = "0163-5999",
bibdate = "Wed Aug 25 07:33:11 MDT 2010",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/sigmetrics.bib",
abstract = "Due to the prohibitively long time when detailedly
simulating a realistic benchmark to its completion,
sampling is frequently used to reduce the simulation
time. However, it may often require profiling or
iterative simulations to determine the sampling
parameters. This paper employs the generation procedure
of trisection Cantor set, one classic fractal, to
select instructions simulated in detail as an approach
to enable a simple and fast micro-architecture
simulation. Randomly selected six benchmarks from SPEC
CPU2000 are tested on the simulator, CantorSim, which
implements the trisection Cantor fractal approach. The
results show that it is very easy to use this approach
and it can achieve actual average acceleration of
23.4\% over SMARTS [3] while the accuracy only reduces
marginally. CantorSims accuracy is validated against
the sim-outorder and is accurate in a 3.2\% error
margin. Similar CPI relative errors with the same
parameter values of experiments on simulators of
different processor models indicate that this approach
is micro-architecture independent and can be applied to
well predict the performance of new micro-architecture
design.",
acknowledgement = ack-nhfb,
fjournal = "ACM SIGMETRICS Performance Evaluation Review",
journal-URL = "http://portal.acm.org/toc.cfm?id=J618",
keywords = "cantor set; cycle-accurate simulation; fractal
geometry; micro-architecture simulator; performance
evaluation",
}
@Article{Zhao:2009:SNF,
author = "Hong Zhao",
title = "Some new fractals behaviors in $ (2 + 1) $-dimensional
integrable system",
journal = j-APPL-MATH-COMP,
volume = "215",
number = "5",
pages = "1653--1658",
day = "1",
month = nov,
year = "2009",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2009.07.017",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:25 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300309006651",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Andreadis:2010:TCPa,
author = "Ioannis Andreadis and Theodoros E. Karakasidis",
title = "On a topological closeness of perturbed {Mandelbrot}
sets",
journal = j-APPL-MATH-COMP,
volume = "215",
number = "10",
pages = "3674--3683",
day = "15",
month = jan,
year = "2010",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2009.11.006",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:26 MDT 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300309009801",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Anonymous:2010:BMF,
author = "Anonymous",
title = "{Beno{\^\i}t Mandelbrot}, fractals pioneer, dies",
journal = "United Press International",
volume = "??",
number = "??",
pages = "??--??",
day = "16",
month = oct,
year = "2010",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 11:23:33 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.upi.com/Science_News/2010/10/16/Benoit-Mandelbrot-fractals-pioneer-dies/UPI-11551287266964/",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:2010:BMO,
author = "Anonymous",
title = "{Beno{\^\i}t Mandelbrot}'s obituary",
journal = j-ECONOMIST,
volume = "??",
number = "??",
pages = "??--??",
day = "21",
month = oct,
year = "2010",
CODEN = "EONOEH",
ISSN = "0013-0613 (print), 1476-8860 (electronic)",
ISSN-L = "0013-0613",
bibdate = "Mon Sep 10 11:27:02 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.economist.com/node/17305197",
acknowledgement = ack-nhfb,
fjournal = "The Economist",
}
@Article{Anonymous:2010:BNF,
author = "Anonymous",
title = "{BBC} News: `Fractal' mathematician {Beno{\^\i}t
Mandelbrot} dies aged 85",
journal = "BBC Online",
volume = "??",
number = "??",
pages = "??--??",
day = "17",
month = oct,
year = "2010",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 11:17:18 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.bbc.co.uk/news/world-europe-11560101",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:2010:MFF,
author = "Anonymous",
title = "{Mandelbrot}, father of fractal geometry, dies",
journal = "The Gazette",
volume = "??",
number = "??",
pages = "??--??",
day = "16",
month = oct,
year = "2010",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 11:24:42 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.upi.com/Science_News/2010/10/16/Benoit-Mandelbrot-fractals-pioneer-dies/UPI-11551287266964/",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:2010:SRH,
author = "Anonymous",
title = "{Sarkozy} rend hommage {\`a} {Mandelbrot}. ({French})
[{[President] Sarkozy} pays homage to {Mandelbrot}]",
journal = "Le Figaro",
volume = "??",
number = "??",
pages = "??--??",
day = "17",
month = oct,
year = "2010",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 11:25:32 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.lefigaro.fr/flash-actu/2010/10/16/97001-20101016FILWWW00611-sarkozy-rend-hommage-a-mandelbrot.php",
acknowledgement = ack-nhfb,
language = "French",
}
@Article{Ball:2010:MWF,
author = "Philip Ball",
title = "Material witness: Fractal standstill",
journal = j-NATURE-MATER,
volume = "9",
number = "12",
pages = "964--964",
day = "23",
month = nov,
year = "2010",
CODEN = "NMAACR",
DOI = "https://doi.org/10.1038/nmat2910",
ISSN = "1476-1122 (print), 1476-4660 (electronic)",
ISSN-L = "1476-1122",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nmat/journal/v9/n12/full/nmat2910.html",
acknowledgement = ack-nhfb,
ajournal = "Nat. Mater.",
fjournal = "Nature Materials",
journal-URL = "http://www.nature.com/nmat/",
}
@InCollection{Barnsley:2010:FT,
author = "Michael Barnsley and Louisa Barnsley",
title = "Fractal Transformations",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "4",
pages = "58--73",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/978-1-84996-485-2",
acknowledgement = ack-nhfb,
}
@Book{Barral:2010:QIE,
author = "J. Barral and J. Berestycki and J. Bertoin and
others",
title = "Quelques interactions entre analyse, probabilit{\'e}s
et fractals. ({French}) [{Some} interactions between
analysis, probability, and fractals]",
publisher = "Soci{\'e}t{\'e} Math{\'e}matique de France",
address = "Paris, France",
pages = "x + 243",
year = "2010",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Introduction by St{\'e}phane Jaffard.",
acknowledgement = ack-nhfb,
language = "French",
}
@InCollection{Clarke:2010:CIF,
author = "Arthur C. Clarke",
title = "The Colours of Infinity --- the Film Script",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "9",
pages = "144--172",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/978-1-84996-485-2",
acknowledgement = ack-nhfb,
}
@InCollection{Clarke:2010:EFU,
author = "Arthur C. Clarke",
title = "Exploring the Fractal Universe",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "2",
pages = "24--37",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/978-1-84996-485-2",
acknowledgement = ack-nhfb,
}
@InCollection{Cont:2010:MB,
author = "Rama Cont",
booktitle = "Encyclopedia of Quantitative Finance",
title = "{Mandelbrot, Beno{\^\i}t}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
bookpages = "xlv + 2032",
pages = "??--??",
year = "2010",
DOI = "https://doi.org/10.1002/9780470061602.eqf01006",
ISBN = "0-470-06160-X, 0-470-05756-4",
ISBN-13 = "978-0-470-06160-2, 978-0-470-05756-8",
LCCN = "HG106 .E53 2010",
bibdate = "Mon Sep 10 05:54:36 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Four volumes.",
acknowledgement = ack-nhfb,
onlinedate = "15 May 2010",
}
@Article{Droniou:2010:NMF,
author = "J{\'e}r{\^o}me Droniou",
title = "A numerical method for fractal conservation laws",
journal = j-MATH-COMPUT,
volume = "79",
number = "269",
pages = "95--124",
month = jan,
year = "2010",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Fri May 14 06:21:04 MDT 2010",
bibsource = "http://www.ams.org/mcom/2010-79-269;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02293-5/home.html;
http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02293-5/S0025-5718-09-02293-5.pdf",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Book{Dufour:2010:SIH,
author = "Jean-Marie Dufour and Jeong-ryeol Kim and Franz C.
Palm",
title = "Special issue: Heavy tails and {Paretian}
distributions in empirical finance: a volume honoring
{Beno{\^\i}t Mandelbrot}",
volume = "17.2010,2",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "177--282",
year = "2010",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:25 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
series = "Journal of empirical finance",
acknowledgement = ack-nhfb,
}
@Article{Fiete:2010:SQF,
author = "Gregory A. Fiete and Alex de Lozanne",
title = "Seeing Quantum Fractals",
journal = j-SCIENCE,
volume = "327",
number = "5966",
pages = "652--653",
day = "5",
month = feb,
year = "2010",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.1186118",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/327/5966/652.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@InCollection{Flake:2010:SOS,
author = "Gary William Flake and David M. Pennock",
title = "Self-organization, Self-regulation, and
Self-similarity on the Fractal Web",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "6",
pages = "88--119",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/978-1-84996-485-2",
acknowledgement = ack-nhfb,
}
@Article{Gomory:2010:BM,
author = "Ralph Gomory",
title = "{Beno{\^\i}t Mandelbrot (1924--2010)}",
journal = j-NATURE,
volume = "468",
number = "7322",
pages = "378--378",
day = "17",
month = nov,
year = "2010",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/468378a",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:06:18 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v468/n7322/full/468378a.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Gozen:2010:FAR,
author = "Irep G{\"o}zen and Paul Dommersnes and Ilja Czolkos
and Aldo Jesorka and Tatsiana Lobovkina and Owe Orwar
and others",
title = "Fractal avalanche ruptures in biological membranes",
journal = j-NATURE-MATER,
volume = "9",
number = "11",
pages = "908--912",
day = "10",
month = oct,
year = "2010",
CODEN = "NMAACR",
DOI = "https://doi.org/10.1038/nmat2854",
ISSN = "1476-1122 (print), 1476-4660 (electronic)",
ISSN-L = "1476-1122",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nmat/journal/v9/n11/full/nmat2854.html",
acknowledgement = ack-nhfb,
ajournal = "Nat. Mater.",
fjournal = "Nature Materials",
journal-URL = "http://www.nature.com/nmat/",
}
@Article{Grossu:2010:NVV,
author = "I. V. Grossu and D. Felea and C. Besliu and Al. Jipa
and C. C. Bordeianu and E. Stan and T. Esanu",
title = "A new version of {Visual [Basic]} tool for estimating
the fractal dimension of images",
journal = j-COMP-PHYS-COMM,
volume = "181",
number = "4",
pages = "831--832",
month = apr,
year = "2010",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2009.12.005",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 11 09:54:28 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S001046550900397X",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Hoffman:2010:BMM,
author = "Jascha Hoffman",
title = "{Beno{\'\i}t Mandelbrot}, Mathematician, Dies at 85",
journal = j-NY-TIMES,
volume = "??",
number = "??",
pages = "??--??",
day = "16",
month = oct,
year = "2010",
CODEN = "NYTIAO",
ISSN = "0362-4331 (print), 1542-667X, 1553-8095",
ISSN-L = "0362-4331",
bibdate = "Mon Sep 10 11:10:10 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nytimes.com/2010/10/17/us/17mandelbrot.html",
acknowledgement = ack-nhfb,
fjournal = "New York Times",
journal-URL = "http://www.nytimes.com/",
}
@Article{Lesmoir-Gordon:2010:BMO,
author = "Nigel Lesmoir-Gordon",
title = "{Beno{\^\i}t Mandelbrot} obituary",
journal = "The Guardian (London)",
volume = "??",
number = "??",
pages = "??",
day = "17",
month = oct,
year = "2010",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 11:11:44 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.guardian.co.uk/science/2010/oct/17/benoit-mandelbrot-obituary",
acknowledgement = ack-nhfb,
}
@InCollection{Lesmoir-Gordon:2010:FCI,
author = "Nigel Lesmoir-Gordon",
title = "Filming The Colours of Infinity",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "8",
pages = "136--143",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/978-1-84996-485-2",
acknowledgement = ack-nhfb,
}
@Article{Martyn:2010:RRI,
author = "Tomasz Martyn",
title = "Realistic rendering {$3$D IFS} fractals in real-time
with graphics accelerators",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "34",
number = "2",
pages = "167--175",
month = apr,
year = "2010",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2009.10.001",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:42:00 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849309001150",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{McNally:2010:FGN,
author = "James G. McNally and Davide Mazza",
title = "Fractal geometry in the nucleus",
journal = j-EMBO-J,
volume = "29",
number = "1",
pages = "2--3",
day = "6",
month = jan,
year = "2010",
CODEN = "EMJODG",
DOI = "https://doi.org/10.1038/emboj.2009.375",
ISSN = "0261-4189 (print), 1460-2075 (electronic)",
ISSN-L = "0261-4189",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/emboj/journal/v29/n1/full/emboj2009375a.html",
acknowledgement = ack-nhfb,
ajournal = "EMBO J.",
fjournal = "The EMBO Journal",
journal-URL = "http://emboj.embopress.org/",
}
@Article{Peitgen:2010:BBM,
author = "Heinz-Otto Peitgen",
title = "{Beno{\^\i}t B. Mandelbrot (1924--2010)}",
journal = j-SCIENCE,
volume = "330",
number = "6006",
pages = "926--926",
day = "12",
month = nov,
year = "2010",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.1199471",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:10:06 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/330/6006/926.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Peitgen:2010:RBB,
author = "Heinz-Otto Peitgen",
title = "Retrospective. {Beno{\^\i}t B. Mandelbrot}
(1924--2010)",
journal = j-SCIENCE,
volume = "330",
number = "6006",
pages = "926--926",
day = "12",
month = nov,
year = "2010",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.1199471",
ISSN = "1095-9203",
ISSN-L = "0036-8075",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Persson:2010:BM,
author = "Ulf Persson",
title = "{Beno{\^\i}t Mandelbrot} (1924--2010)",
journal = j-NORMAT,
volume = "58",
number = "3",
pages = "139--140, 144",
month = "????",
year = "2010",
CODEN = "????",
ISSN = "0801-3500",
MRclass = "01A70 (28-03 28A80)",
MRnumber = "2796999",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Normat. Nordisk Matematisk Tidskrift",
}
@InCollection{Rood:2010:FLM,
author = "Will Rood",
title = "Fractal Limits: The {Mandelbrot} Set and the
Self-Similar Tilings of {M. C. Escher}",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "5",
pages = "74--87",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/978-1-84996-485-2",
acknowledgement = ack-nhfb,
}
@Article{Selinker:2010:NTJ,
author = "Mike Selinker",
title = "Never Trend Away: {Jonathan Coulton} on {Beno{\^\i}t
Mandelbrot}",
journal = j-WIRED,
volume = "??",
number = "??",
pages = "??--??",
day = "18",
month = oct,
year = "2010",
CODEN = "WREDEM",
ISSN = "????",
ISSN-L = "1059-1028",
bibdate = "Mon Sep 10 11:13:22 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.wired.com/magazine/2010/10/never-trend-away-jonathan-coulton-on-benoit-mandelbrot/",
acknowledgement = ack-nhfb,
fjournal = "Wired",
journal-URL = "http://www.wired.com",
}
@InCollection{Stewart:2010:NFG,
author = "Ian Stewart",
title = "The Nature of Fractal Geometry",
crossref = "Lesmoir-Gordon:2010:CIB",
chapter = "1",
pages = "2--23",
year = "2010",
bibdate = "Sat Sep 8 15:24:46 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.springerlink.com/content/978-1-84996-485-2",
acknowledgement = ack-nhfb,
}
@Article{Tang:2010:FIR,
author = "Xiutao Tang and Cuilu Qu",
title = "Facial image recognition based on fractal image
encoding",
journal = j-BELL-LABS-TECH-J,
volume = "15",
number = "1",
pages = "209--214",
month = jun,
year = "2010",
CODEN = "BLTJFD",
DOI = "https://doi.org/10.1002/bltj.20433",
ISSN = "1089-7089 (print), 1538-7305 (electronic)",
ISSN-L = "1089-7089",
bibdate = "Fri Nov 26 18:10:36 MST 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/bstj2010.bib",
acknowledgement = ack-nhfb,
fjournal = "Bell Labs Technical Journal",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1538-7305/issues/",
onlinedate = "17 May 2010",
}
@Article{Tenner:2010:BMM,
author = "Edward Tenner",
title = "{Beno{\^\i}t Mandelbrot} the Maverick, 1924--2010",
journal = "The Atlantic",
volume = "??",
number = "??",
pages = "??--??",
day = "16",
month = oct,
year = "2010",
CODEN = "????",
ISSN = "????",
bibdate = "Mon Sep 10 11:18:41 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.theatlantic.com/technology/archive/2010/10/benoit-mandelbrot-the-maverick-1924-2010/64684/",
acknowledgement = ack-nhfb,
}
@Article{VanLoocke:2010:CBO,
author = "Philip {Van Loocke}",
title = "Combination of basic origami with fractal iteration",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "34",
number = "1",
pages = "66--71",
month = feb,
year = "2010",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2009.04.009",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:42:00 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849309001149",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Wolf:2010:FOH,
author = "E. T. Wolf and O. B. Toon",
title = "Fractal Organic Hazes Provided an Ultraviolet Shield
for Early {Earth}",
journal = j-SCIENCE,
volume = "328",
number = "5983",
pages = "1266--1268",
day = "4",
month = jun,
year = "2010",
CODEN = "SCIEAS",
DOI = "https://doi.org/10.1126/science.1183260",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibdate = "Sat Sep 8 11:14:33 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.sciencemag.org/content/328/5983/1266.full.pdf",
acknowledgement = ack-nhfb,
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Article{Yue:2010:FFR,
author = "Hong Yue",
title = "A fractal function related to the {John--Nirenberg}
inequality for {$ Q_\alpha (\mathbb {R}^n) $}",
journal = j-CAN-J-MATH,
volume = "62",
number = "5",
pages = "1182--1200",
month = oct,
year = "2010",
CODEN = "CJMAAB",
DOI = "https://doi.org/10.4153/CJM-2010-055-x",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
ISSN-L = "0008-414X",
MRclass = "42B35 (28A80 35A23 42C10)",
MRnumber = "2730362 (2011j:42043)",
MRreviewer = "Yong Lin",
bibdate = "Sat Sep 10 15:39:16 MDT 2011",
bibsource = "http://cms.math.ca/cjm/v62/;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath.bib;
https://www.math.utah.edu/pub/tex/bib/canjmath2010.bib;
MathSciNet database",
abstract = "A borderline case function $f$ for {$ Q_\alpha ({\bf
R}^n) $} spaces is defined as a Haar wavelet
decomposition, with the coefficients depending on a
fixed parameter $ \beta > 0 $. On its support {$ I_0 =
[0, 1]^n $}, $ f(x) $ can be expressed by the binary
expansions of the coordinates of $x$. In particular, {$
f = f_\beta \in Q_\alpha ({\bf R}^n) $} if and only if
$ \alpha < \beta < n / 2 $, while for $ \beta = \alpha
$, it was shown by Yue and Dafni that $f$ satisfies a
John--Nirenberg inequality for {$ Q_\alpha ({\bf R}^n)
$}. When $ \beta \neq 1 $, $f$ is a self-affine
function. It is continuous almost everywhere and
discontinuous at all dyadic points inside {$ I_0 $}. In
addition, it is not monotone along any coordinate
direction in any small cube. When the parameter $ \beta
\in (0, 1) $, $f$ is onto from {$ I_0 $} to $ [ - 1 /
(1 - 2^{- \beta }), 1 / (1 - 2^{- \beta })] $, and the
graph of $f$ has a non-integer fractal dimension $ n +
1 \beta $.",
acknowledgement = ack-nhfb,
fjournal = "Canadian Journal of Mathematics = Journal canadien de
math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@Article{Zaanen:2010:HTS,
author = "Jan Zaanen",
title = "High-temperature superconductivity: The benefit of
fractal dirt",
journal = j-NATURE,
volume = "466",
number = "7308",
pages = "825--827",
day = "11",
month = aug,
year = "2010",
CODEN = "NATUAS",
DOI = "https://doi.org/10.1038/466825a",
ISSN = "0028-0836 (print), 1476-4687 (electronic)",
ISSN-L = "0028-0836",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nature/journal/v466/n7308/full/466825a.html",
acknowledgement = ack-nhfb,
fjournal = "Nature",
journal-URL = "http://www.nature.com/nature/archive/",
}
@Article{Andrew:2011:OBM,
author = "Alex M. Andrew",
title = "Obituary: {Beno{\^\i}t Mandelbrot: 20 November
1924--14 October 2010}",
journal = "Kybernetes",
volume = "40",
number = "1--2",
pages = "??--??",
month = "????",
year = "2011",
CODEN = "KBNTA3",
ISSN = "0368-492X (print), 1758-7883 (electronic)",
bibdate = "Fri Nov 25 07:32:54 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://en.wikipedia.org/wiki/ernst_von_glasersfeld;
http://www.boston.com/news/world/europe/articles/2010/11/12/intellectual_ernst_von_glasersf;
http://www.emeraldinsight.com/journals.htm?issn=0368-492X&volume=40&issue=1/2&articleid=1921825;
http://www.guardian.co.uk/science/2010/oct/17/benoit-mandelbrot-obituary;
http://www.math.yale.edu/mandelbrot/;
http://www.telegraph.co.uk/news/obituaries/science-obituaries/8069558/benoit-mandelbrot.html",
acknowledgement = ack-nhfb,
}
@Article{Barnsley:2011:EPL,
author = "Michael Barnsley and Andrew Vince",
title = "The eigenvalue problem for linear and affine iterated
function systems",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "435",
number = "12",
pages = "3124--3138",
day = "15",
month = dec,
year = "2011",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Aug 24 17:37:38 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib;
http://www.sciencedirect.com/science/journal/00243795",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Barnsley:2011:HTF,
author = "Michael F. Barnsley and Brendan Harding and Konstantin
Igudesman",
title = "How to Transform and Filter Images Using Iterated
Function Systems",
journal = j-SIAM-J-IMAGING-SCI,
volume = "4",
number = "4",
pages = "1001--1028",
month = "????",
year = "2011",
CODEN = "SJISBI",
DOI = "https://doi.org/10.1137/100815293",
ISSN = "1936-4954",
bibdate = "Thu Feb 9 08:09:59 MST 2012",
bibsource = "http://epubs.siam.org/SIIMS/siims_toc.html;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/siamjimagingsci.bib",
URL = "http://epubs.siam.org/siims/resource/1/sjisbi/v4/i4/p1001_s1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Imaging Sciences",
journal-URL = "http://epubs.siam.org/siims",
onlinedate = "October 20, 2011",
}
@Article{Bawden:2011:BMS,
author = "David Bawden",
title = "{Beno{\^\i}t Mandelbrot} and the self-similarity of
information",
journal = j-J-DOC,
volume = "67",
number = "2",
pages = "??--??",
month = "????",
year = "2011",
CODEN = "JDOCAS",
ISSN = "0022-0418 (print), 1758-7379 (electronic)",
ISSN-L = "0022-0418",
bibdate = "Fri Nov 25 07:40:34 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://www.emeraldinsight.com/journals.htm?issn=0022-0418&volume=67&issue=2&articleid=1911717",
acknowledgement = ack-nhfb,
fjournal = "Journal of Documentation",
journal-URL = "http://www.emeraldinsight.com/loi/jd",
}
@Article{Bouchaud:2011:BMP,
author = "Jean-Philippe Bouchaud",
title = "{Beno{\^\i}t Mandelbrot}: a personal tribute",
journal = j-QUANT-FINANCE,
volume = "11",
number = "2",
pages = "161",
month = "????",
year = "2011",
CODEN = "????",
DOI = "https://doi.org/10.1080/14697688.2011.552335",
ISSN = "1469-7688 (print), 1469-7696 (electronic)",
ISSN-L = "1469-7688",
MRclass = "01A70 (91G80)",
MRnumber = "2770756",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Quantitative Finance",
journal-URL = "http://www.tandfonline.com/loi/rquf20",
}
@Article{Chang:2011:CGR,
author = "Harry M. Chang",
title = "Constructing $n$-gram rules for natural language
models through exploring the limitation of the
{Zipf--Mandelbrot} law",
journal = j-COMPUTING,
volume = "91",
number = "3",
pages = "241--264",
month = mar,
year = "2011",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/s00607-010-0116-x",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "68T50",
MRnumber = "2776088",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0010-485X&volume=91&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/computing.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0010-485X&volume=91&issue=3&spage=241",
acknowledgement = ack-nhfb,
fjournal = "Computing. Archives for Scientific Computing",
journal-URL = "http://link.springer.com/journal/607",
}
@InCollection{Chu:2011:MSF,
author = "Pong P. Chu",
booktitle = "Embedded {SoPC} Design with {Nios II} Processor and
{VHDL} Examples",
title = "{Mandelbrot} Set Fractal Accelerator",
chapter = "21",
publisher = pub-WILEY,
address = pub-WILEY:adr,
bookpages = "xxxi + 703",
pages = "637--670",
year = "2011",
DOI = "https://doi.org/10.1002/9781118146538.ch21",
ISBN = "1-118-00888-X (print), 1-118-14653-0 (online)",
ISBN-13 = "978-1-118-00888-1 (print), 978-1-118-14653-8
(online)",
LCCN = "TK7895.E42 C48 2011",
bibdate = "Mon Sep 10 06:07:56 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
onlinedate = "23 Sep 2011",
}
@Article{Cifani:2011:DGM,
author = "Simone Cifani and Espen R. Jakobsen and Kenneth H.
Karlsen",
title = "The discontinuous {Galerkin} method for fractal
conservation laws",
journal = j-IMA-J-NUMER-ANAL,
volume = "31",
number = "3",
pages = "1090--1122",
month = jul,
year = "2011",
CODEN = "IJNADH",
DOI = "https://doi.org/10.1093/imanum/drq006",
ISSN = "0272-4979 (print), 1464-3642 (electronic)",
ISSN-L = "0272-4979",
bibdate = "Fri Jul 15 12:37:42 MDT 2011",
bibsource = "http://imanum.oxfordjournals.org/content/31/3.toc;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib",
URL = "http://imajna.oxfordjournals.org/content/31/3/1090.full.pdf+html",
acknowledgement = ack-nhfb,
fjournal = "IMA Journal of Numerical Analysis",
journal-URL = "http://imajna.oxfordjournals.org/content/by/year",
onlinedate = "May 26, 2010",
}
@Article{EstradaGallego:2011:BMG,
author = "Fernando {Estrada Gallego}",
title = "{Beno{\^\i}t Mandelbrot} (1924--2010): a {Greek} among
{Romans}",
journal = "History of Economic Ideas",
volume = "19",
number = "1",
pages = "9--14",
year = "2011",
CODEN = "????",
ISSN = "1122-8792 (print), 1724-2169 (electronic)",
bibdate = "Sat Sep 8 15:45:25 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.gbv.de:20011/gvk",
acknowledgement = ack-nhfb,
}
@Article{Farmer:2011:UTB,
author = "J. Doyne Farmer",
title = "The unsmooth trajectory of {Beno{\^\i}t Mandelbrot}",
journal = j-QUANT-FINANCE,
volume = "11",
number = "2",
pages = "157--158",
month = "????",
year = "2011",
CODEN = "????",
DOI = "https://doi.org/10.1080/14697688.2010.550475",
ISSN = "1469-7688 (print), 1469-7696 (electronic)",
ISSN-L = "1469-7688",
MRclass = "01A70 (91G80)",
MRnumber = "2770754",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Quantitative Finance",
journal-URL = "http://www.tandfonline.com/loi/rquf20",
}
@Article{Gonzalez:2011:EDA,
author = "S. Gonz{\'a}lez and A. R. Thornton and S. Luding",
title = "An event-driven algorithm for fractal cluster
formation",
journal = j-COMP-PHYS-COMM,
volume = "182",
number = "9",
pages = "1842--1845",
month = sep,
year = "2011",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2010.11.010",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Sat Feb 11 10:10:59 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S001046551000456X",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Heckel:2011:IMI,
author = "Frank Heckel and Olaf Konrad and Horst Karl Hahn and
Heinz-Otto Peitgen",
title = "Interactive {$3$D} medical image segmentation with
energy-minimizing implicit functions",
journal = j-COMPUTERS-AND-GRAPHICS,
volume = "35",
number = "2",
pages = "275--287",
month = apr,
year = "2011",
CODEN = "COGRD2",
DOI = "https://doi.org/10.1016/j.cag.2010.12.006",
ISSN = "0097-8493 (print), 1873-7684 (electronic)",
ISSN-L = "0097-8493",
bibdate = "Mon Feb 13 16:42:02 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compgraph.bib;
http://www.sciencedirect.com/science/journal/00978493",
URL = "http://www.sciencedirect.com/science/article/pii/S0097849310001925",
acknowledgement = ack-nhfb,
fjournal = "Computers \& Graphics",
journal-URL = "http://www.sciencedirect.com/science/journal/00978493",
}
@Article{Higgs:2011:IFA,
author = "Rowan Higgs",
title = "Imaging: Fractal analysis for {CHD} mortality",
journal = j-NATURE-REV-CARDIOL,
volume = "8",
number = "2",
pages = "62--62",
month = feb,
year = "2011",
CODEN = "NRCAE6",
DOI = "https://doi.org/10.1038/nrcardio.2010.212",
ISSN = "1759-5002 (print), 1759-5010 (electronic)",
ISSN-L = "1759-5002",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/nrcardio/journal/v8/n2/full/nrcardio.2010.212.html",
acknowledgement = ack-nhfb,
fjournal = "Nature Reviews Cardiology",
journal-URL = "http://www.nature.com/nrcardio/archive/",
}
@Article{Jaffard:2011:BMM,
author = "St{\'e}phane Jaffard",
title = "{Beno{\^\i}t Mandelbrot}---in memoriam (1924--2010)",
journal = j-GAZ-MATH,
volume = "127",
number = "??",
pages = "77--78",
month = "????",
year = "2011",
CODEN = "????",
ISSN = "0224-8999",
MRclass = "01A70",
MRnumber = "2791387",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Gazette des Math{\'e}maticiens",
}
@Article{Kiani:2011:MPD,
author = "Soheila Kiani and Mohsen Ebrahimi Moghaddam",
title = "A multi-purpose digital image watermarking using
fractal block coding",
journal = j-J-SYST-SOFTW,
volume = "84",
number = "9",
pages = "1550--1562",
month = sep,
year = "2011",
CODEN = "JSSODM",
DOI = "https://doi.org/10.1016/j.jss.2011.03.019",
ISSN = "0164-1212 (print), 1873-1228 (electronic)",
ISSN-L = "0164-1212",
bibdate = "Mon Feb 6 15:39:22 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/cryptography2010.bib;
https://www.math.utah.edu/pub/tex/bib/jsystsoftw.bib;
http://www.sciencedirect.com/science/journal/01641212",
URL = "http://www.sciencedirect.com/science/article/pii/S0164121211000707",
acknowledgement = ack-nhfb,
fjournal = "Journal of Systems and Software",
journal-URL = "http://www.sciencedirect.com/science/journal/01641212",
}
@Article{Kirman:2011:BMV,
author = "Alan Kirman",
title = "{Beno{\^\i}t Mandelbrot} and the vindication of his
ideas",
journal = j-QUANT-FINANCE,
volume = "11",
number = "2",
pages = "159--160",
month = "????",
year = "2011",
CODEN = "????",
DOI = "https://doi.org/10.1080/14697688.2010.542381",
ISSN = "1469-7688 (print), 1469-7696 (electronic)",
ISSN-L = "1469-7688",
MRclass = "01A70 (91G80)",
MRnumber = "2770755",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Quantitative Finance",
journal-URL = "http://www.tandfonline.com/loi/rquf20",
}
@InCollection{Schleicher:2011:CDM,
author = "Dierk Schleicher",
title = "Complex dynamics, the {Mandelbrot} set, and {Newton}'s
method: or, On useless and useful mathematics",
crossref = "Schleicher:2011:IMC",
pages = "207--220",
year = "2011",
DOI = "https://doi.org/10.1007/978-3-642-19533-4_14",
bibdate = "Sat Mar 23 16:38:40 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-642-19533-4_14",
acknowledgement = ack-nhfb,
}
@Article{Seuront:2011:BBM,
author = "Laurent Seuront",
title = "{Beno{\^\i}t B. Mandelbrot} (1924--2010) [obituary]",
journal = j-J-PLANKTON-RES,
volume = "33",
number = "6",
pages = "983--988",
month = jun,
year = "2011",
CODEN = "JPLRD9",
DOI = "https://doi.org/10.1093/plankt/fbr008",
ISSN = "0142-7873 (print), 1464-3774 (electronic)",
ISSN-L = "0142-7873",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Plankton Research",
journal-URL = "http://plankt.oxfordjournals.org/content/by/year",
}
@Article{Tang:2011:ESP,
author = "Lian Tang and Da Hui Wang",
title = "An explanation of the shift parameter $ \rho $ in the
{Zipf--Mandelbrot} law",
journal = "Beijing Shifan Daxue Xuebao",
volume = "47",
number = "1",
pages = "97--100",
month = "????",
year = "2011",
CODEN = "BSDKDH",
ISSN = "0476-0301",
MRclass = "94A17",
MRnumber = "2807603",
bibdate = "Sat Nov 12 09:13:23 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
acknowledgement = ack-nhfb,
fjournal = "Beijing Shifan Daxue Xuebao. Ziran Kexue Ban. Journal
of Beijing Normal University (Natural Science)",
}
@Article{Taylor:2011:BMO,
author = "Richard Taylor",
title = "{Beno{\^\i}t Mandelbrot} [obituary]",
journal = j-PHYS-TODAY,
volume = "64",
number = "6",
pages = "63--??",
month = jun,
year = "2011",
CODEN = "PHTOAD",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Sat Sep 8 17:52:00 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://link.aip.org/link/phtoad/v64/i6/p63/s1",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@Article{Vailati:2011:FFD,
author = "Alberto Vailati and Roberto Cerbino and Stefano
Mazzoni and Christopher J. Takacs and David S. Cannell
and Marzio Giglio and others",
title = "Fractal fronts of diffusion in microgravity open",
journal = j-NATURE-COMMUN,
volume = "2",
number = "4",
pages = "290--290",
day = "19",
month = apr,
year = "2011",
CODEN = "NCAOBW",
DOI = "https://doi.org/10.1038/ncomms1290",
ISSN = "2041-1723 (electronic)",
ISSN-L = "2041-1723",
bibdate = "Sat Sep 8 11:26:27 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.nature.com/ncomms/journal/v2/n4/full/ncomms1290.html",
acknowledgement = ack-nhfb,
ajournal = "Nat. Commun.",
fjournal = "Nature Communications",
journal-URL = "http://www.nature.com/ncomms",
}
@Article{Vallee:2011:BMF,
author = "Robert Vall{\'e}e",
title = "{Beno{\^\i}t Mandelbrot} --- further notes",
journal = "Kybernetes",
volume = "40",
number = "9--10",
pages = "??--??",
month = "????",
year = "2011",
CODEN = "KBNTA3",
ISSN = "0368-492X (print), 1758-7883 (electronic)",
bibdate = "Fri Nov 25 07:38:10 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://www.emeraldinsight.com/journals.htm?issn=0368-492X&volume=40&issue=9/10&articleid=17003220",
acknowledgement = ack-nhfb,
}
@Article{Adler:2012:FOB,
author = "Paulo Adler",
title = "Fractals Offer a Better Way to Manage Complex
Systems",
journal = j-RES-DEV,
day = "12",
month = nov,
year = "2012",
CODEN = "REDEEA",
ISSN = "0746-9179",
bibdate = "Wed Nov 14 12:46:00 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.rdmag.com/articles/2012/11/fractals-offer-better-way-manage-complex-systems",
acknowledgement = ack-nhfb,
fjournal = "Research \& Development",
}
@Article{Anonymous:2012:GBB,
author = "Anonymous",
title = "Glimpses of {Beno{\^i}t B. Mandelbrot} (1924--2010)",
journal = j-NAMS,
volume = "59",
number = "8",
pages = "1056--1063",
month = sep,
year = "2012",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti878",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "01A70",
MRnumber = "2985807",
bibdate = "Thu Aug 15 07:17:02 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/nams2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Anonymous:2012:IBB,
author = "Anonymous",
title = "The influence of {Beno{\^i}t B. Mandelbrot} on
mathematics",
journal = j-NAMS,
volume = "59",
number = "9",
pages = "1208--1221",
month = oct,
year = "2012",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti894",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "01A70",
MRnumber = "3012322",
bibdate = "Thu Aug 15 07:17:02 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/nams2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Avellar:2012:NPN,
author = "J. Avellar and L. G. S. Duarte and L. A. C. P. da Mota
and N. de Melo and J. E. F. Skea",
title = "The {Ndynamics} package --- Numerical analysis of
dynamical systems and the fractal dimension of
boundaries",
journal = j-COMP-PHYS-COMM,
volume = "183",
number = "9",
pages = "2019--2020",
month = sep,
year = "2012",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2012.03.024",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Thu Jun 7 13:25:14 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465512001294",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Barnsley:2012:GBM,
author = "Michael F. Barnsley and Michael Frame",
title = "Glimpses of {Beno{\^\i}t Mandelbrot} (1924--2010)",
journal = j-NAMS,
volume = "59",
number = "8",
pages = "1056--1063",
month = sep,
year = "2012",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Wed Sep 05 08:38:36 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.ams.org/notices/201208/rtx120801056p.pdf",
acknowledgement = ack-nhfb,
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Barnsley:2012:IBB,
author = "Michael F. Barnsley and Michael Frame",
title = "The Influence of {Beno{\^\i}t B. Mandelbrot} on
Mathematics",
journal = j-NAMS,
volume = "59",
number = "9",
pages = "1208--1221",
month = oct,
year = "2012",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
bibdate = "Tue Oct 23 16:07:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Other contributors are Roger Howe, Ian Stewart, David
Mumford, Hillel Furstenberg, Kenneth Falconer, Bruce J.
West, Marc-Olivier Coppens, Nathan Cohen, St{\'e}phane
Jaffard, and Sir Michael Berry.",
URL = "http://www.ams.org/notices/201209/rtx120901208p.pdf",
acknowledgement = ack-nhfb,
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@InCollection{Chu:2012:MSF,
author = "Pong P. Chu",
booktitle = "Embedded {SoPC} Design with {Nios II} Processor and
{Verilog} Examples",
title = "{Mandelbrot} Set Fractal Accelerator",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "681--714",
year = "2012",
DOI = "https://doi.org/10.1002/9781118309728.ch22",
ISBN = "1-118-01103-1 (print), 1-118-30972-3 (e-book)",
ISBN-13 = "978-1-118-01103-4 (print), 978-1-118-30972-8
(e-book)",
bibdate = "Sat Sep 08 19:19:12 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://onlinelibrary.wiley.com/doi/10.1002/9781118309728.ch22/summary",
acknowledgement = ack-nhfb,
onlinedate = "18 MAY 2012",
}
@Article{deAmo:2012:MAM,
author = "Enrique de Amo and Manuel D{\'\i}az Carrillo and Juan
Fern{\'a}ndez S{\'a}nchez and Antonio Salmer{\'o}n",
title = "Moments and associated measures of copulas with
fractal support",
journal = j-APPL-MATH-COMP,
volume = "218",
number = "17",
pages = "8634--8644",
day = "1",
month = may,
year = "2012",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2012.02.025",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Thu Apr 5 06:00:26 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300312001476",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Dekking:2012:PMP,
author = "Michel Dekking",
title = "Paperfolding morphisms, planefilling curves, and
fractal tiles",
journal = j-THEOR-COMP-SCI,
volume = "414",
number = "1",
pages = "20--37",
day = "13",
month = jan,
year = "2012",
CODEN = "TCSCDI",
DOI = "https://doi.org/10.1016/j.tcs.2011.09.025",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibdate = "Tue Nov 29 19:11:51 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tcs2010.bib;
http://www.sciencedirect.com/science/journal/03043975",
URL = "http://www.sciencedirect.com/science/article/pii/S0304397511008085",
acknowledgement = ack-nhfb,
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Jorgensen:2012:ESF,
author = "Palle E. T. Jorgensen",
title = "Ergodic scales in fractal measures",
journal = j-MATH-COMPUT,
volume = "81",
number = "278",
pages = "941--955",
month = apr,
year = "2012",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sat Feb 4 09:28:39 MST 2012",
bibsource = "http://www.ams.org/mcom/2012-81-278;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "http://www.ams.org/journals/mcom/2012-81-278/S0025-5718-2011-02517-2;
http://www.ams.org/journals/mcom/2012-81-278/S0025-5718-2011-02517-2/S0025-5718-2011-02517-2.pdf",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Kachanov:2012:CEA,
author = "Andre Kachanov and Serge Nikulin and Sveta Bauer and
Boris Zimin",
title = "Corneal ectasia after excimer surgery and the
{Mandelbrot B.} fractal theory in ophthalmology",
journal = j-ACTA-OPHTHALMOL,
volume = "90",
number = "s249",
pages = "??--??",
month = sep,
year = "2012",
CODEN = "????",
DOI = "https://doi.org/10.1111/j.1755-3768.2012.T099.x",
ISSN = "1755-375X (print), 1755-3768 (electronic)",
ISSN-L = "1755-375X",
bibdate = "Mon Sep 10 06:04:42 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Acta Ophthalmologica",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1755-3768",
onlinedate = "6 Aug 2012",
}
@Book{Samuel:2012:IBM,
editor = "Nina Samuel and Matthias Bruhn and Jan von Brevern and
Juliet Koss and Margarete Pratschke and Wlaldimir
Velminski",
title = "The islands of {Beno{\^\i}t Mandelbrot}: fractals,
chaos, and the materiality of thinking",
publisher = "Bard Graduate Center: Decorative Arts, Design History,
Material Culture",
address = "New Haven, CT, USA",
pages = "????",
year = "2012",
ISBN = "0-300-18643-6",
ISBN-13 = "978-0-300-18643-7",
LCCN = "Q223 .I85 2012",
bibdate = "Sat Sep 8 15:40:11 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
abstract = "Over the past few decades, the ``pictorial turn'' in
the natural sciences, prompted by the computer's
capacity to produce visual representations, has
generated considerable theoretical interest. Poised
between their materiality and the abstract level they
are meant to convey, scientific images are always
intersections of form and meaning. Beno\{\^i}t
Mandelbrot (1924-2010), one of the best-known producers
of digital images in scientific and industrial
research, was particularly curious about the ways in
which the materiality of scientific representation was
able to influence the development of the ideas and
abstractions the images embodied.Using images and
objects found in Mandelbrot's office, this book
questions the relationship between the visual and
scientific reasoning in fractal geometry and chaos
theory, among the most popular fields to use digital
scientific imagery in the past century. These
unpublished materials offer new connections between the
material world and that of mathematical ideas. Work by
Adrien Douady and Otto R{\"o}ssler provides historical
depth to the analysis.",
acknowledgement = ack-nhfb,
remark = "This catalogue is published in conjunction with the
exhibition The Islands of Beno{\^\i}t Mandelbrot:
Fractals, Chaos, and the Materiality of Thinking held
at the Bard Graduate Center: Decorative Arts, Design
History, Material Culture from September 21, 2012
through January 27, 2013.",
subject = "Visual communication in science; Exhibitions;
Mandelbrot, Beno{\^\i}t B; ART / History / Contemporary
(1945-); SCIENCE / Chaotic Behavior in Systems;
MATHEMATICS / Topology",
}
@Article{Seuront:2012:OBB,
author = "Laurent Seuront",
title = "Obituary: {Beno{\^\i}t B. Mandelbrot} (1924--2010)
(vol {\bf 33}, pg 983)",
journal = j-J-PLANKTON-RES,
volume = "34",
number = "2",
pages = "190--190",
month = feb,
year = "2012",
CODEN = "JPLRD9",
DOI = "https://doi.org/10.1093/plankt/fbr100",
ISSN = "0142-7873 (print), 1464-3774 (electronic)",
ISSN-L = "0142-7873",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Plankton Research",
journal-URL = "http://plankt.oxfordjournals.org/content/by/year",
}
@Article{Werner:2012:MDK,
author = "T. R. Werner and T. Gubiec and R. Kutner and D.
Sornette",
title = "Mechanisms of {Dragon--Kings} Modeling of
super-extreme events: An application to the
hierarchical {Weierstrass--Mandelbrot} Continuous-time
Random Walk",
journal = j-EUR-PHYS-J-SPEC-TOP,
volume = "205",
pages = "27--52",
month = "????",
year = "2012",
CODEN = "EPJSAC",
DOI = "https://doi.org/10.1140/epjst/e2012-01560-0",
ISSN = "1951-6355 (print), 1951-6401 (electronic)",
ISSN-L = "1951-6355",
bibdate = "Sat Sep 8 18:31:14 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
ajournal = "Eur. Phys. J. Special Topics",
fjournal = "European Physical Journal --- Special Topics",
journal-URL = "http://link.springer.com/journal/11734",
}
@Article{Andreadis:2013:NAA,
author = "Ioannis Andreadis and Theodoros E. Karakasidis",
title = "On numerical approximations of the area of the
generalized {Mandelbrot} sets",
journal = j-APPL-MATH-COMP,
volume = "219",
number = "23",
pages = "10974--10982",
day = "1",
month = aug,
year = "2013",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Mon Jul 15 11:22:51 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2010.bib;
http://www.sciencedirect.com/science/journal/00963003",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300313004876",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Silverman:2013:WLA,
author = "Joseph H. Silverman",
title = "What is \ldots{} the $p$-adic {Mandelbrot} set?",
journal = j-NAMS,
volume = "60",
number = "8",
pages = "1048--1050",
month = sep,
year = "2013",
CODEN = "AMNOAN",
DOI = "https://doi.org/10.1090/noti1038",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "28-01",
MRnumber = "3113229",
MRreviewer = "Vasileios Drakopoulos",
bibdate = "Thu Aug 15 07:17:02 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/nams2010.bib",
acknowledgement = ack-nhfb,
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Taqqu:2013:BMF,
author = "Murad S. Taqqu",
title = "{Beno{\^\i}t Mandelbrot} and Fractional {Brownian}
Motion",
journal = j-STAT-SCI,
volume = "28",
number = "1",
pages = "131--134",
month = feb,
year = "2013",
CODEN = "STSCEP",
ISSN = "0883-4237 (print), 2168-8745 (electronic)",
ISSN-L = "0883-4237",
bibdate = "Fri May 30 12:49:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/statsci.bib",
URL = "http://projecteuclid.org/euclid.ss/1359468412",
acknowledgement = ack-nhfb,
fjournal = "Statistical Science",
journal-URL = "http://projecteuclid.org/all/euclid.ss",
}
@Article{Taylor:2013:BRF,
author = "Richard Taylor",
title = "Book Review: {{\booktitle{The Fractalist: Memoir of a
Scientific Maverick}}, Beno{\^\i}t B. Mandelbrot,
Pantheon Books, 2012. \$30.00 (352 pp.). ISBN
978-0-307-37735-7}",
journal = j-PHYS-TODAY,
volume = "66",
number = "11",
pages = "52--55",
month = nov,
year = "2013",
CODEN = "PHTOAD",
DOI = "https://doi.org/10.1063/pt.3.2183",
ISSN = "0031-9228 (print), 1945-0699 (electronic)",
ISSN-L = "0031-9228",
bibdate = "Mon May 21 09:11:50 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
fjournal = "Physics Today",
journal-URL = "http://www.physicstoday.org/",
}
@Article{Young:2013:ATL,
author = "D. S. Young",
title = "Approximate tolerance limits for {Zipf--Mandelbrot}
distributions",
journal = j-PHYSICA-A,
volume = "392",
number = "7",
pages = "1702--1711",
day = "1",
month = apr,
year = "2013",
CODEN = "PHYADX",
DOI = "https://doi.org/10.1016/j.physa.2012.11.056",
ISSN = "0378-4371 (print), 1873-2119 (electronic)",
ISSN-L = "0378-4371",
bibdate = "Wed Feb 27 07:32:55 MST 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0378437112010497",
acknowledgement = ack-nhfb,
fjournal = "Physica A. Statistical Mechanics and its
Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/03784371",
keywords = "Zipf's Law",
}
@Article{Ausloos:2014:ZMP,
author = "Marcel Ausloos",
title = "{Zipf--Mandelbrot--Pareto} model for co-authorship
popularity",
journal = j-SCIENTOMETRICS,
volume = "101",
number = "3",
pages = "1565--1586",
month = dec,
year = "2014",
CODEN = "SCNTDX",
DOI = "https://doi.org/10.1007/s11192-014-1302-y",
ISSN = "0138-9130 (print), 1588-2861 (electronic)",
ISSN-L = "0138-9130",
bibdate = "Wed Sep 2 12:06:06 MDT 2015",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/scientometrics2010.bib",
URL = "http://link.springer.com/article/10.1007/s11192-014-1302-y",
acknowledgement = ack-nhfb,
fjournal = "Scientometrics",
journal-URL = "http://link.springer.com/journal/11192",
}
@Book{Wolfram:2016:IMP,
author = "Stephen Wolfram",
title = "Idea makers: personal perspectives on the lives and
ideas of some notable people",
publisher = "Wolfram Media, Inc.",
address = "Champaign, IL, USA",
pages = "250 (est.)",
year = "2016",
ISBN = "1-57955-003-7 (hardcover), 1-57955-005-3 (e-book),
1-57955-011-8",
ISBN-13 = "978-1-57955-003-5 (hardcover), 978-1-57955-005-9
(e-book), 978-1-57955-011-0",
LCCN = "Q141 .W678562 2016",
bibdate = "Fri Jul 15 16:08:15 MDT 2016",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/c/crandall-richard-e.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
URL = "http://www.wolfram-media.com/products/idea-makers.html",
acknowledgement = ack-nhfb,
keywords = "Ada Lovelace; Alan Turing; Beno{\^\i}t Mandelbrot;
Bertrand Russell; Alfred North Whitehead; George Boole;
Gottfried Leibniz; John von Neumann; Kurt G{\"o}del;
Marvin Minsky; Richard Crandall; Richard Feynman;
Russell Towle; Solomon Golomb; Srinivasa Ramanujan;
Steve Jobs",
subject = "Biography; History; Science; Scientists",
tableofcontents = "Preface \\
Richard Feynman \\
Kurt G{\"o}del \\
Alan Turing \\
John von Neumann \\
George Boole \\
Ada Lovelace \\
Gottfried Leibniz \\
Beno{\^\i}t Mandelbrot \\
Steve Jobs \\
Marvin Minsky \\
Russell Towle \\
Bertrand Russell \& Alfred Whitehead \\
Richard Crandall \\
Srinivasa Ramanujan \\
Solomon Golomb",
}
@Book{Bishop:2017:FPA,
author = "Christopher J. Bishop and Y. (Yuval) Peres",
title = "Fractals in Probability and Analysis",
volume = "162",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "ix + 402",
year = "2017",
ISBN = "1-107-13411-0 (hardcover), 1-316-86692-0,
1-316-46023-1 (e-book)",
ISBN-13 = "978-1-107-13411-9 (hardcover), 978-1-316-86692-4,
978-1-316-46023-8 (e-book)",
LCCN = "QA614.86 .B57 2017",
bibdate = "Sat Apr 6 07:52:07 MDT 2019",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/contempphys.bib",
series = "Cambridge studies in advanced mathematics",
abstract = "This is a mathematically rigorous introduction to
fractals which emphasizes examples and fundamental
ideas. Building up from basic techniques of geometric
measure theory and probability, central topics such as
Hausdorff dimension, self-similar sets and Brownian
motion are introduced, as are more specialized topics,
including Kakeya sets, capacity, percolation on trees
and the traveling salesman theorem. The broad range of
techniques presented enables key ideas to be
highlighted, without the distraction of excessive
technicalities. The authors incorporate some novel
proofs which are simpler than those available
elsewhere. Where possible, chapters are designed to be
read independently so the book can be used to teach a
variety of courses, with the clear structure offering
students an accessible route into the topic.",
acknowledgement = ack-nhfb,
subject = "Fractal analysis; Problems, exercises, etc; Geometric
analysis; Probability measures",
tableofcontents = "1. Minkowski and Hausdorff dimensions \\
1.1. Minkowski dimension \\
1.2. Hausdorff dimension and the Mass Distribution
Principle \\
1.3. Sets defined by digit restrictions \\
1.4. Billingsley's Lemma and the dimension of measures
\\
1.5. Sets defined by digit frequency \\
1.6. Slices \\
1.7. Intersecting translates of Cantor sets * \\
1.8. Notes \\
1.9. Exercises \\
2. Self-similarity and packing dimension \\
2.1. Self-similar sets \\
2.2. The open set condition is sufficient \\
2.3. Homogeneous sets \\
2.4. Microsets \\
2.5. Poincare sets * \\
2.6. Alternative definitions of Minkowski dimension \\
2.7. Packing measures and dimension \\
2.8. When do packing and Minkowski dimension agree? \\
2.9. Notes \\
2.10. Exercises \\
3. Frostman's theory and capacity \\
3.1. Frostman's Lemma \\
3.2. The dimension of product sets \\
3.3. Generalized Marstrand Slicing Theorem \\
3.4. Capacity and dimension \\
3.5. Marstrand's Projection Theorem \\
3.6. Mapping a tree to Euclidean space preserves
capacity \\
3.7. Dimension of random Cantor sets \\
3.8. Notes \\
3.9. Exercises \\
4. Self-affine sets \\
4.1. Construction and Minkowski dimension \\
4.2. The Hausdorff dimension of self-affine sets \\
4.3. A dichotomy for Hausdorff measure \\
4.4. The Hausdorff measure is infinite * \\
4.5. Notes \\
4.6. Exercises \\
5. Graphs of continuous functions \\
5.1. Holder continuous functions \\
5.2. The Weierstrass function is nowhere differentiable
\\
5.3. Lower Holder estimates \\
5.4. Notes \\
5.5. Exercises \\
6. Brownian motion, Part I \\
6.1. Gaussian random variables \\
6.2. Levy's construction of Brownian motion \\
6.3. Basic properties of Brownian motion \\
6.4. Hausdorff dimension of the Brownian path and graph
\\
6.5. Nowhere differentiability is prevalent \\
6.6. Strong Markov property and the reflection
principle \\
6.7. Local extrema of Brownian motion \\
6.8. Area of planar Brownian motion \\
6.9. General Markov processes \\
6.10. Zeros of Brownian motion \\
6.11. Harris' inequality and its consequences \\
6.12. Points of increase \\
6.13. Notes \\
6.14. Exercises \\
7. Brownian motion, Part II \\
7.1. Dimension doubling \\
7.2. The Law of the Iterated Logarithm \\
7.3. Skorokhod's Representation \\
7.4. Donsker's Invariance Principle \\
7.5. Harmonic functions and Brownian motion in Rd \\
7.6. The maximum principle for harmonic functions \\
7.7. The Dirichlet problem \\
7.8. Polar points and recurrence \\
7.9. Conformal invariance * \\
7.10. Capacity and harmonic functions \\
7.11. Notes \\
7.12. Exercises \\
8. Random walks, Markov chains and capacity \\
8.1. Frostman's theory for discrete sets \\
8.2. Markov chains and capacity \\
8.3. Intersection equivalence and return times \\
8.4. Lyons' Theorem on percolation on trees \\
8.5. Dimension of random Cantor sets (again) \\
8.6. Brownian motion and Martin capacity \\
8.7. Notes \\
8.8. Exercises",
}
@Article{Garijo:2017:EAC,
author = "Antonio Garijo and Xavier Jarque and Jordi
Villadelprat",
title = "An effective algorithm to compute {Mandelbrot} sets in
parameter planes",
journal = j-NUMER-ALGORITHMS,
volume = "76",
number = "2",
pages = "555--571",
month = oct,
year = "2017",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-017-0270-8",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Tue Sep 26 18:06:40 MDT 2017",
bibsource = "http://link.springer.com/journal/11075/76/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Book{Holt:2018:WEW,
author = "Jim Holt",
title = "When {Einstein} walked with {G{\"o}del}: excursions to
the edge of thought",
publisher = pub-FARRAR,
address = pub-FARRAR:adr,
pages = "xi + 368",
year = "2018",
ISBN = "0-374-14670-5 (hardcover), 0-374-71784-2 (e-book)",
ISBN-13 = "978-0-374-14670-2 (hardcover), 978-0-374-71784-1
(e-book)",
LCCN = "PS3608.O4943595 A6 2018",
bibdate = "Fri May 18 13:58:57 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lovelace-ada-augusta.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
https://www.math.utah.edu/pub/tex/bib/einstein.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
z3950.loc.gov:7090/Voyager",
abstract = "A collection of essays on philosophy, mathematics, and
science, and the people who pursue them.",
acknowledgement = ack-nhfb,
author-dates = "1954--",
remark = "Chapter 8 discusses the influence of Zipf's Law on
Mandelbrot's discovery of fractals.",
shorttableofcontents = "Part I: The moving image of eternity \\
Part II: Numbers in the brain, in platonic heaven, and
in society \\
Part III: Mathematics, pure and impure \\
Part IV: Higher dimensions, abstract maps \\
Part V: Infinity, large and small \\
Part VI: Heroism, tragedy, and the computer age \\
Part VII: The cosmos reconsidered \\
Part VIII: Quick studies: A selection of shorter essays
\\
Part IX: God, sainthood, truth and bullshit",
tableofcontents = "Part I: The moving image of eternity \\
1: When Einstein walked with G{\"o}del \\
2: Time --- the grand illusion? \\
Part II: Numbers in the brain, in platonic heaven, and
in society \\
3: Numbers guy: the neuroscience of math \\
4: The Riemann Zeta conjecture and the laughter of the
primes \\
5: Sir Francis Galton, the father of
statistics\ldots{}and eugenics \\
Part III: Mathematics, pure and impure \\
6: A mathematical romance \\
7: The avatars of higher mathematics \\
8: Beno{\^\i}t Mandelbrot and the discovery of fractals
\\
Part IV: Higher dimensions, abstract maps \\
9: Geometrical creatures \\
10: A comedy of colors \\
Part V: Infinity, large and small \\
11: Infinite visions: Georg Cantor v. David Foster
Wallace \\
12: Worshipping infinity: why the Russians do and the
French don't \\
13: The dangerous idea of the infinitesimal \\
Part VI: Heroism, tragedy, and the computer age \\
14: The Ada perplex: was Byron's daughter the first
coder? \\
15: Alan Turing in life, logic, and death \\
16: Dr. Strangelove makes a thinking machine \\
17: Smarter, happier, more productive \\
Part VII: The cosmos reconsidered \\
18: The string theory wars: is beauty truth? \\
19: Einstein, ``Spooky action,'' and the reality of
space \\
20: How will the Universe end? \\
Part VII: Quick studies: a selection of shorter essays
\\
Little big man \\
Doom soon \\
Death: bad? \\
The looking-glass war \\
Astrology and the demarcation problem \\
G{\"o}del takes on the U.S. Constitution \\
The law of least action \\
Emmy Noether's beautiful theorem \\
Is logic coercive? \\
Newcomb's problem and the paradox of choice \\
The right not to exist \\
Can't anyone get Heisenberg right? \\
Overconfidence and the Monty Hall problem \\
The cruel law of eponymy \\
The mind of a rock \\
Part IX: God, sainthood, truth, and bullshit \\
21: Dawkins and the deity \\
22: On moral sainthood \\
23: Truth and reference: a philosophical feud \\
24: Say anything \\
Further Reading \\
Acknowledgments \\
Index",
}
@Article{Berlinkov:2019:PMP,
author = "Artemi Berlinkov and Esa J{\"a}rvenp{\"a}{\"a}",
title = "Porosities of {Mandelbrot} Percolation",
journal = j-J-THEOR-PROBAB,
volume = "32",
number = "2",
pages = "608--632",
month = jun,
year = "2019",
CODEN = "JTPREO",
DOI = "https://doi.org/10.1007/s10959-019-00895-z",
ISSN = "0894-9840 (print), 1572-9230 (electronic)",
ISSN-L = "0894-9840",
bibdate = "Tue Jul 9 09:42:45 MDT 2019",
bibsource = "http://link.springer.com/journal/10959/32/2;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jtheorprobab.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Theoretical Probability",
journal-URL = "http://link.springer.com/journal/10959",
}
@Article{Khan:2019:ZME,
author = "Muhammad Adil Khan and Dilda Pecari{\'c} and Josip
Pecari{\'c}",
title = "On {Zipf--Mandelbrot} entropy",
journal = j-J-COMPUT-APPL-MATH,
volume = "346",
number = "??",
pages = "192--204",
day = "15",
month = jan,
year = "2019",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2018.07.002",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Mon Mar 18 11:19:57 MDT 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042718304217",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Misc{McKenna:2019:HC,
author = "Doug McKenna",
title = "{Hilbert} Curves",
howpublished = "Web site.",
month = jun,
year = "2019",
bibdate = "Tue Jun 25 06:31:13 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "http://www.mathemaesthetics.com/HilbertCurves.html",
abstract = "Representing nearly a decade of software development
and math research, \booktitle{Hilbert Curves} is an iOS
app, available in Apple's App Store, that presents to
the math-curious person an electronic book, entitled
Outside-In and Inside-Gone, for the iPad/iPhone. The
author and illustrator, Doug McKenna, is a longtime,
award-winning software developer, fractal pioneer, and
space-filling curve expert who (among others) created
illustrations for Beno{\^\i}t Mandelbrot's \booktitle{The
Fractal Geometry of Nature}, the paradigm-shifting book
that introduced fractals to the scientific world nearly
40 years ago.",
acknowledgement = ack-nhfb,
remark = "The software typesets the book as it is displayed,
using McKenna's reimplementation of \TeX, called
JSBox.",
}
@Article{Merow:2022:TMT,
author = "Sophia D. Merow",
title = "Tricky math, but {\it trippy\/} graphics: the quixotic
search for the ``{3D Mandelbrot}''",
journal = j-NAMS,
volume = "69",
number = "4",
pages = "624--627",
month = apr,
year = "2022",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "00A66",
MRnumber = "4658689",
bibdate = "Thu Aug 15 07:17:02 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/nams2020.bib",
acknowledgement = ack-nhfb,
ajournal = "Notices Amer. Math. Soc.",
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Misc{Popova:2022:FHO,
author = "Maria Popova",
title = "Fractals, the Hidden Order Beneath Chaos, and the
Story of the Refugee Who Revolutionized the Mathematics
of Reality",
howpublished = "Web site",
day = "22",
month = feb,
year = "2022",
bibdate = "Tue Aug 16 10:49:34 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
URL = "https://getpocket.com/explore/item/the-pattern-inside-the-pattern-fractals-the-hidden-order-beneath-chaos-and-the-story-of-the-refugee",
acknowledgement = ack-nhfb,
keywords = "Beno{\^\i}t Mandelbrot",
remark = "Reprinted from \booktitle{The Marginalian} (formerly
\booktitle{Brain Pickings})",
}
@Article{Wang:2022:BNF,
author = "Yupin Wang and Xiaodi Li and Da Wang and Shutang Liu",
title = "A brief note on fractal dynamics of fractional
{Mandelbrot} sets",
journal = j-APPL-MATH-COMP,
volume = "432",
number = "??",
pages = "??--??",
day = "1",
month = nov,
year = "2022",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2022.127353",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Tue Jul 19 08:26:17 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/applmathcomput2020.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300322004271",
acknowledgement = ack-nhfb,
articleno = "127353",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Bini:2024:NCR,
author = "Dario A. Bini",
title = "Numerical computation of the roots of {Mandelbrot}
polynomials: an experimental analysis",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "61",
pages = "1--27",
year = "2024",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Mon Jun 3 08:23:59 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "https://etna.math.kent.edu/vol.61.2024/pp1-27.dir/pp1-27.pdf;
https://etna.math.kent.edu/volumes/2021-2030/vol61/abstract.php?vol=61&pages=1-27",
acknowledgement = ack-nhfb,
ajournal = "Electron. Trans. Numer. Anal.",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Gunther:2024:VMS,
author = "Max G{\"u}nther",
title = "Visualizing the {Mandelbrot} set with {MetaPost}",
journal = j-TUGboat,
volume = "45",
number = "1",
pages = "113--114",
year = "2024",
CODEN = "????",
DOI = "https://doi.org/10.47397/tb/45-1/tb139guenther-mandelbrot",
ISSN = "0896-3207",
ISSN-L = "0896-3207",
bibdate = "Sat May 18 08:30:37 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/tugboat.bib",
URL = "https://tug.org/TUGboat/tb45-1/tb139guenther-mandelbrot.pdf",
acknowledgement = ack-nhfb,
fjournal = "TUGboat",
issue = "139",
journal-URL = "https://tug.org/TUGboat/",
remark = "Intermediate{\Dash}complex numbers in MetaPost, and
implementing generation of the Mandelbrot set, with
optimizations.",
}
@Article{Kumari:2024:VAT,
author = "Sudesh Kumari and Krzysztof Gdawiec and Ashish Nandal
and Naresh Kumar and Renu Chugh",
title = "On the viscosity approximation type iterative method
and its non-linear behaviour in the generation of
{Mandelbrot} and {Julia} sets",
journal = j-NUMER-ALGORITHMS,
volume = "96",
number = "1",
pages = "211--236",
month = may,
year = "2024",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-023-01644-4",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Sat Apr 6 07:40:13 MDT 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "https://link.springer.com/article/10.1007/s11075-023-01644-4",
acknowledgement = ack-nhfb,
ajournal = "Numer. Algorithms",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Book{Luce:1963:HMP,
editor = "R. Duncan Luce and Robert R. Bush and Eugene
Galanter",
booktitle = "Handbook of Mathematical Psychology. {Volume II,
Chapters 9--14}",
title = "Handbook of Mathematical Psychology. {Volume II,
Chapters 9--14}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
year = "1963",
LCCN = "????",
bibdate = "Thu Feb 28 09:06:25 MST 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Book{Bush:1967:HMP,
editor = "Robert R. Bush and Eugene Galanter and R. Duncan
Luce",
booktitle = "Handbook of Mathematical Psychology. {Volume II,
Chapters 9--14}",
title = "Handbook of Mathematical Psychology. {Volume II,
Chapters 9--14}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Second",
pages = "vii + 606",
year = "1967",
LCCN = "????",
bibdate = "Thu Feb 28 09:06:25 MST 2013",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Book{Mandelbrot:1975:OFF,
author = "Beno{\^\i}t Mandelbrot",
booktitle = "Les objets fractals: Forme, hasard et dimension.
({French}) [Fractal objects: form, chance, and
dimension]",
title = "Les objets fractals: Forme, hasard et dimension.
({French}) [Fractal objects: form, chance, and
dimension]",
publisher = "Flammarion Editeur",
address = "Paris, France",
pages = "190 + ii",
year = "1975",
ISBN = "2-08-210647-0, 2-08-211155-5",
ISBN-13 = "978-2-08-210647-4, 978-2-08-211155-3",
LCCN = "QA447 .M36 1984",
MRclass = "69.00",
MRnumber = "0462040 (57 \#2015)",
bibdate = "Wed Sep 5 09:26:37 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Nouvelle Biblioth{\`e}que Scientifique.",
acknowledgement = ack-nhfb,
language = "French",
remark = "This is Mandelbrot's first book, and the first on
fractals.",
}
@Proceedings{Miles:1978:GPB,
editor = "R. E. (Roger Edmund) Miles and J. (Jean) Serra",
booktitle = "{Geometrical probability and biological structures:
Buffon's 200th anniversary, proceedings of the Buffon
Bicentenary Symposium on Geometrical Probability, Image
Analysis, Mathematical Stereology, and their Relevance
to the Determination of Biological Structures, held in
Paris, June 1977}",
title = "{Geometrical probability and biological structures:
Buffon's 200th anniversary, proceedings of the Buffon
Bicentenary Symposium on Geometrical Probability, Image
Analysis, Mathematical Stereology, and their Relevance
to the Determination of Biological Structures, held in
Paris, June 1977}",
volume = "23",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 338",
year = "1978",
ISBN = "3-540-08856-3 (Berlin), 0-387-08856-3 (New York)",
ISBN-13 = "978-3-540-08856-1 (Berlin), 978-0-387-08856-3 (New
York)",
LCCN = "????",
bibdate = "Fri Jun 7 07:28:32 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
library.ox.ac.uk:210/ADVANCE",
series = "Lecture notes in biomathematics",
acknowledgement = ack-nhfb,
subject = "comte de Buffon, Georges Louis Leclerc; geometric
probabilities; congresses; morphology; mathematics;
stereology",
subject-dates = "1707--1788",
}
@Proceedings{Allgower:1981:NSN,
editor = "E. L. (Eugene L.) Allgower and Klaus Glashoff and
Heinz-Otto Peitgen",
booktitle = "{Numerical solution of nonlinear equations:
proceedings, Bremen, 1980}",
title = "{Numerical solution of nonlinear equations:
proceedings, Bremen, 1980}",
volume = "878",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 440",
year = "1981",
ISBN = "0-387-10871-8",
ISBN-13 = "978-0-387-10871-1",
LCCN = "QA3 .L471 no.878; QA3.L471",
bibdate = "Wed May 9 09:06:42 MDT 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
library.mit.edu:9909/mit01",
series = "Lecture notes in mathematics",
acknowledgement = ack-nhfb,
remark = "Symposium held July 21-25, 1980, under the sponsorship
of the Forschungsschwerpunkt ``Dynamische Systeme'',
Universit{\"a}t Bremen, and the W. Blaschke
Gesellschaft, Hamburg.",
subject = "Differential equations, Nonlinear; Numerical
solutions; Congresses",
}
@Proceedings{Campbell:1983:OCP,
editor = "David R. Campbell and Harvey Rose",
booktitle = "{Order in chaos: proceedings of the International
conference on order in chaos, held at the Center for
nonlinear studies, Los Alamos, New Mexico 87545, USA,
24--28 May 1982}",
title = "{Order in chaos: proceedings of the International
conference on order in chaos, held at the Center for
nonlinear studies, Los Alamos, New Mexico 87545, USA,
24--28 May 1982}",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xi + 361",
year = "1983",
ISBN = "0-444-86727-9",
ISBN-13 = "978-0-444-86727-8",
LCCN = "QA843 .I57 1982",
bibdate = "Fri Mar 27 10:18:28 MDT 2015",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
remark = "Sponsored by Applied Mathematical Sciences Program,
United States Dept. of Energy, and Center for Nonlinear
Studies, Los Alamos National Laboratory. ``Reprinted
from Physica, D volume 7D (1983)''",
subject = "Chaos (th{\'e}orie des syst{\`e}mes); Congr{\`e}s;
Mod{\`e}les ordre-d{\'e}sordre; Chaotic behavior in
systems; Congresses; Dynamics; Fractales; Nonlinear
theories; System theory; th{\'e}orie catastrophe;
fractale; bifurcation; syst{\`e}me non lin{\'e}aire;
m{\'e}canique fluide; Chaos; Congr{\`e}s; Dynamique;
Congr{\`e}s; Th{\'e}ories non lin{\'e}aires",
tableofcontents = "Preface / vii \\
Committees --- Sponsors / ix \\
Contents / x \\
1: Overviews of Order in Chaos \\
Swinney, H. L., Observations of order and chaos in
nonlinear systems / 3 \\
Feigenbaum, M. J., Universal behavior in nonlinear
systems / 16 \\
Ruelle, D., Five turbulent problems / 40 \\
2: Experimental Observations of Chaotic Systems \\
Epstein, I. R., Oscillations and chaos in chemical
systems / 47 \\
Roux, J.-C, Experimental studies of bifurcations
leading to chaos in the Belousof--Zhabotinsky reaction
/ 57 \\
Haucke, H. and Maeno, Y., Phase space analysis of
convection in a $^3$He-superfluid $^4$He solution / 69
\\
Libchaber, A., Fauve, S. and Laroche, C , Two-parameter
study of the routes to chaos / 73 \\
Smith, C. W. and Tejwani, M. J., Bifurcation and the
universal sequence for first sound subharmonic
generation in superfluid helium-4 / 85 \\
Glass, L., Guevara, M. R. and Shrier, A., Bifurcation
and chaos in a periodically stimulated cardiac
oscillator / 89 \\
3: Mathematical Properties and Model Systems \\
Guckenheimer, J., Persistent properties of bifurcations
/ 105 \\
Holmes, P. and Whitley, D., On the attracting set for
Duffing's equation, II: A geometrical model for
moderate force and damping / 111 \\
Lanford, O. E., III, Period doubling in one and several
dimensions / 124 \\
Fowler, A. C., Gibbon, J. D. and McGuiness, M. J., The
real and complex Lorenz equations and their relevance
to physical systems / 126 \\
Moon, H. T., Huerre, P. and Redekopp, L. G.,
Transitions to chaos in the Ginzburg--Landau equation /
135 \\
4: Dimension, Fractal Structures, and Coherence Versus
Chaos \\
Farmer, J. D., Ott, E. and Yorke, J. A., The dimension
of chaotic attractors / 153 \\
Grebogi, C , Ott, E. and Yorke, J., Crises, sudden
changes in chaotic attractors, and transient chaos /
181 \\
Crutchfield, J. P. and Packard, N. H., Symbolic
dynamics of noisy chaos / 201 \\
Mandelbrot, B. B., On the quadratic mapping $z \to z^2
- \mu$ for complex $\mu$ and $z$: The fractal structure
of its 911 set, and scaling / 224 \\
Aubry, S., The twist map, the extended
Frenkel--Kontorova model and the devil's staircase /
240 \\
Bishop, A. R., Fesser, K., Lomdahl, P. S. and
Trullinger, S. E., The influence of solitons in the
initial state on chaos in the driven damped
sine--Gordon chain / 259 \\
5: Transition To Chaos in Maps of the Circle \\
Mackay, R. S., A renormalization approach to invariant
circles in area preserving maps / 283 \\
Shenker, S. J., Quasiperiodicity in dissipative
systems: A renormalization group analysis (Abstract) /
301 \\
Siggia, E. D., A universal transition from
quasi-periodicity to chaos (Abstract) / 302 \\
6: Fluids and Vortices \\
Marsden, J. and Weinstein, A., Coadjoint orbits,
vortices, and Clebsch variables for incompressible
fluids / 305 \\
Palmore, J. I., Bifurcation of stationary vortex
configurations, II: Topology and integrability / 324
\\
Holm, D. D. and Kupershmidt, B. A., Noncanonical
formulation of ideal magnetohydrodynamics / 330 \\
Kupershmidt, B. A., On dual spaces of differential Lie
algebras / 334 \\
7: Quantum Chaos \\
Gutzwiller, M. C., Stochastic behavior in quantum
scattering / 341 \\
Heller, E. J., Quantum-classical correspondence for the
Fourier spectrum of a trajectory / 356 \\
List of Contributors / 362",
}
@Proceedings{Mandelbrot:1984:FAM,
editor = "Beno{\^\i}t B. Mandelbrot and Dann E. Passoja",
booktitle = "{Fractal aspects of materials: metal and catalyst
surfaces, powders and aggregates: extended abstracts}",
title = "{Fractal aspects of materials: metal and catalyst
surfaces, powders and aggregates: extended abstracts}",
volume = "EA--4",
publisher = "Materials Research Society",
address = "Pittsburgh, PA, USA",
pages = "v + 47",
year = "1984",
LCCN = "QA447 .F72 1984",
bibdate = "Mon Sep 10 14:59:48 MDT 2012",
bibsource = "clas.caltech.edu:210/INNOPAC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Materials Research Society extended abstracts",
acknowledgement = ack-nhfb,
remark = "Proceedings of Symposium P, 1984 Fall Meeting of the
Materials Research Society, November 26--27, 1984,
Boston Marriott Hotel at Copley Place, Boston,
Massachusetts.",
subject = "Geometry; Congresses; Fractals; Surfaces
(Technology)",
}
@Proceedings{Shlesinger:1984:FPS,
editor = "Michael F. Shlesinger and Beno{\^\i}t B. Mandelbrot
and Robert J. Rubin",
booktitle = "{Fractals in the physical sciences. Proceedings of the
Symposium on Fractals in the Physical Sciences, held at
the U.S. National Bureau of Standards, Gaithersburg,
Maryland, November 21--23, 1983.}",
title = "{Fractals in the physical sciences. Proceedings of the
Symposium on Fractals in the Physical Sciences, held at
the U.S. National Bureau of Standards, Gaithersburg,
Maryland, November 21--23, 1983.}",
volume = "36(5/6)",
publisher = pub-PLENUM,
address = pub-PLENUM:adr,
pages = "519--921",
year = "1984",
LCCN = "????",
bibdate = "Sat Sep 08 12:33:55 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Journal of Statistical Physics",
ZMnumber = "Zbl 0582.00016",
acknowledgement = ack-nhfb,
}
@Book{Albers:1985:MPP,
editor = "Donald J. Albers and Gerald L. Alexanderson",
booktitle = "Mathematical People: Profiles and Interviews",
title = "Mathematical People: Profiles and Interviews",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xvi + 2 + 372",
year = "1985",
ISBN = "0-8176-3191-7, 3-7643-3191-7",
ISBN-13 = "978-0-8176-3191-8, 978-3-7643-3191-7",
LCCN = "QA28 .M37 1985",
bibdate = "Sun Mar 25 08:44:00 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "Published in cooperation with the Mathematical
Association of America.",
subject = "Mathematicians; Biography",
tableofcontents = "Foreword / Ivan Iven \\
Introduction: Reflections on writing the history of
mathematics / Philip J. Davis \\
Garrett Birkhoff / G. L. Alexanderson and Carroll Wilde
\\
David Blackwell / Donald J. Albers \\
Shiing-Shen Chern / William Chinn and John Lewis \\
John Horton Conway / Richard K. Guy \\
H. S. M. Coxeter / Dave Logothetti \\
Persi Diaconis / Donald J. Albers \\
Paul Erd{\H{o}}s / G. L. Alexanderson \\
Martin Gardner / Peter Renz and Anthony Barcellos \\
Ronald L. Graham / Bruce Schecter \\
Paul R. Halmos / Donald J. Albers \\
Peter J. Hilton / Lynn A. Steen and G. L. Alexanderson
\\
John Kemeny / Lynn A. Steen \\
Morris Kline / G. L. Alexanderson \\
Donald Knuth / Donald J. Albers and Lynn A. Steen \\
Beno{\^\i}t Mandelbrot / Anthony Barcellos \\
Henry O. Pollak / Donald J. Albers and Michael J.
Thibodeaux \\
George P{\'o}lya / G. L. Alexanderson \\
Mina Rees / Rosamond Dana and Peter J. Hilton \\
Constance Reid / G. L. Alexanderson \\
Herbert Robbins / Warren Page \\
Raymond Smullyan / Ira Mothner \\
Olga Taussky-Todd / Autobiographical Essay / 321--352
\\
Albert W. Tucker / Stephen B. Maurer \\
Reminiscences of Solomon Lefschetz / Albert W. Tucker
\\
Stanis{\l}aw M. Ulam / Anthony Barcellos / 367--374",
}
@Proceedings{Laibowitz:1985:FAM,
editor = "Robert B. Laibowitz and Beno{\^\i}t B. Mandelbrot and
Dann E. Passoja",
booktitle = "{Fractal aspects of materials: extended abstracts}",
title = "{Fractal aspects of materials: extended abstracts}",
volume = "EA--6",
publisher = "Materials Research Society",
address = "Pittsburgh, PA, USA",
pages = "ix + 127",
year = "1985",
LCCN = "QA447 .F72 1985",
bibdate = "Mon Sep 10 14:59:48 MDT 2012",
bibsource = "clas.caltech.edu:210/INNOPAC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Materials Research Society extended abstracts",
acknowledgement = ack-nhfb,
remark = "Proceedings of Symposium N, 1985 Fall Meeting of the
Materials Research Society, December 2--4, 1985, Boston
Marriott/Copley Place, Boston, Massachusetts.",
subject = "Geometry; Congresses; Fractals; Materials",
}
@Proceedings{Pietronero:1986:FPP,
editor = "L. (Luciano) Pietronero and E. (Erio) Tosatti",
booktitle = "{Fractals in physics: proceedings of the Sixth Trieste
International Symposium on Fractals in Physics, ICTP,
Trieste, Italy, July 9--12, 1985}",
title = "{Fractals in physics: proceedings of the Sixth Trieste
International Symposium on Fractals in Physics, ICTP,
Trieste, Italy, July 9--12, 1985}",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xii + 476",
year = "1986",
ISBN = "0-444-86995-6 (U.S.)",
ISBN-13 = "978-0-444-86995-1 (U.S.)",
LCCN = "QC20.7.G44 I585 1985",
bibdate = "Mon Sep 10 16:52:09 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
meetingname = "International Symposium on Fractals in Physics (6th:
1985: Trieste, Italy)",
remark = "Sponsored by the International Center for Theoretical
Physics (I.C.T.P.).",
subject = "Fractals; Congresses; Mathematical physics;
Irreversible processes",
}
@Proceedings{Hurd:1987:FAM,
editor = "Alan J. Hurd and David A. Weitz and Beno{\^\i}t B.
Mandelbrot",
booktitle = "{Fractal aspects of materials: disordered systems}",
title = "{Fractal aspects of materials: disordered systems}",
volume = "EA--13",
publisher = "Materials Research Society",
address = "Pittsburgh, PA, USA",
pages = "xiii + 208",
year = "1987",
LCCN = "QA447 .F72 1987",
bibdate = "Mon Sep 10 14:59:48 MDT 2012",
bibsource = "clas.caltech.edu:210/INNOPAC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Materials Research Society extended abstracts",
acknowledgement = ack-nhfb,
remark = "Proceedings of Symposium S 1987 fall meeting of the
Materials Research Society, December 1--4, 1987, Boston
Marriott/Copley Place, Boston, Massachusetts.",
subject = "Geometry; Congresses; Fractals; Materials",
}
@Book{Peitgen:1988:SFI,
editor = "Heinz-Otto Peitgen and Dietmar Saupe",
booktitle = "The Science of Fractal Images",
title = "The Science of Fractal Images",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiii + 312",
year = "1988",
ISBN = "0-387-96608-0 (New York), 1-4612-8349-3, 3-540-96608-0
(Berlin)",
ISBN-13 = "978-0-387-96608-3 (New York), 978-1-4612-8349-2,
978-3-540-96608-1 (Berlin)",
LCCN = "QA614.86 .S35 1988",
bibdate = "Wed Dec 15 18:08:22 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib",
abstract = "This book is based on notes for the course Fractals:
Introduction, Basics and Perspectives given by Michael
F. Barnsley, Robert L. Devaney, Heinz-Otto Peitgen,
Dietmar Saupe and Richard F. Voss. The course was
chaired by Heinz-Otto Peitgen and was part of the
SIGGRAPH '87 (Anaheim, California) course program.
Though the five chapters of this book have emerged from
those courses we have tried to make this book a
coherent and uniformly styled presentation as much as
possible. It is the first book which discusses fractals
solely from the point of view of computer graphics.
Though fundamental concepts and algorithms are not
introduced and discussed in mathematical rigor we have
made a serious attempt to justify and motivate wherever
it appeared to be desirable. Basic algorithms are
typically presented in pseudo-code or a description so
close to code that a reader who is familiar with
elementary computer graphics should find no problem to
get started. Mandelbrot's fractal geometry provides
both a description and a mathematical model for many of
the seemingly complex forms and patterns in nature and
the sciences. Fractals have blossomed enormously in the
past few years and have helped reconnect pure
mathematics research with both natural sciences and
computing. Computer graphics has played an essential
role both in its development and rapidly growing
popularity. Conversely, fractal geometry now plays an
important role in the rendering, modelling and
animation of natural phenomena and fantastic shapes in
computer graphics.",
acknowledgement = ack-nhfb,
tableofcontents = "Foreword: People and events behind the ``Science of
Fractal Images'' / Beno{\^\i}t B. Mandelbrot \\
1: Fractals in nature: From characterization to
simulation / Richard F. Voss \\
2: Algorithms for random fractals / Dietmar Saupe \\
3: Fractal patterns arising in chaotic dynamical
systems / Robert L. Devaney \\
4: Fantastic deterministic fractals / Heinz-Otto
Peitgen \\
5: Fractal modelling of real world images / Michael F.
Barnsley \\
Appendix A: Fractal landscapes without creases and with
rivers / Beno{\^\i}t B. Mandelbrot \\
Appendix B: An eye for fractals / Michael McGuire \\
Appendix C: A unified approach to fractal curves and
plants / Dietmar Saupe \\
Appendix D: Exploring the Mandelbrot set / Yuval
Fisher",
}
@Proceedings{Weitz:1988:FAM,
editor = "David A. Weitz and Leonard M. (Leonard Michael) Sander
and Beno{\^\i}t B. Mandelbrot",
booktitle = "{Fractal aspects of materials: disordered systems}",
title = "{Fractal aspects of materials: disordered systems}",
volume = "EA--17",
publisher = "Materials Research Society",
address = "Pittsburgh, PA, USA",
pages = "xv + 356",
year = "1988",
LCCN = "QA447 .F72 1988",
bibdate = "Mon Sep 10 14:59:48 MDT 2012",
bibsource = "clas.caltech.edu:210/INNOPAC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Materials Research Society extended abstracts",
acknowledgement = ack-nhfb,
remark = "From a symposium held November 29--December 2, 1988 by
the Materials Research Society.",
subject = "Fractals; Congresses; Geometry; Materials",
}
@Proceedings{Resch:1989:CAC,
editor = "Mark Resch and Deborah Williams",
booktitle = "Computer Art in Context: SIGGRAPH '89 Art Show
Catalog. July 31--August 4, 1989, SIGGRAPH '89, Boston,
Massachusetts and June 28--September 5 1989, The
Computer Museum, Boston, Massachusetts",
title = "Computer Art in Context: {SIGGRAPH} '89 Art Show
Catalog. July 31--August 4, 1989, {SIGGRAPH} '89,
Boston, Massachusetts and June 28--September 5 1989,
The Computer Museum, Boston, Massachusetts",
publisher = pub-PERGAMON,
address = pub-PERGAMON:adr,
pages = "126",
year = "1989",
CODEN = "????",
ISBN = "0-08-037921-4",
ISBN-13 = "978-0-08-037921-0",
ISSN = "0024-094X (print), 1530-9282 (electronic)",
LCCN = "N 7433.8 C66 1989",
bibdate = "Mon Oct 04 23:12:15 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Also published as 1989 Supplement to {\em Leonardo:
Journal of the International Society for the Arts,
Sciences and Technology}.",
URL = "http://info.acm.org/pubs/contents/proceedings/graph/",
acknowledgement = ack-nhfb,
}
@Proceedings{Aharony:1990:FPE,
editor = "Amnon Aharony and Jens Feder",
booktitle = "{Fractals in physics: essays in honour of Beno{\^\i}t
B. Mandelbrot: proceedings of the international
conference honouring Beno{\^\i}t B. Mandelbrot on his
65th birthday, Vence, France, 1--4 October, 1989}",
title = "{Fractals in physics: essays in honour of Beno{\^\i}t
B. Mandelbrot: proceedings of the international
conference honouring Beno{\^\i}t B. Mandelbrot on his
65th birthday, Vence, France, 1--4 October, 1989}",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "xii + 400",
year = "1990",
ISBN = "0-444-88646-X (U.S.)",
ISBN-13 = "978-0-444-88646-0 (U.S.)",
LCCN = "QC20.7.G44 F73 1990",
bibdate = "Mon Sep 10 16:52:09 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "Reprinted from Physica D, volume 38, nos. 1--3
(1989).",
subject = "Fractals; Congresses; Mathematical physics;
Mandelbrot, Beno{\^\i}t B",
}
@Book{Ferris:1991:WTP,
editor = "Timothy Ferris and Clifton Fadiman",
booktitle = "The world treasury of physics, astronomy, and
mathematics",
title = "The world treasury of physics, astronomy, and
mathematics",
publisher = pub-LITTLE-BROWN,
address = pub-LITTLE-BROWN:adr,
pages = "xv + 859",
year = "1991",
ISBN = "0-316-28129-8",
ISBN-13 = "978-0-316-28129-4",
LCCN = "QC71 .W67 1991",
bibdate = "Mon Sep 29 11:20:43 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/bethe-hans.bib;
https://www.math.utah.edu/pub/bibnet/authors/b/bohr-niels.bib;
https://www.math.utah.edu/pub/bibnet/authors/b/born-max.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/d/dyson-freeman-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/turing-alan-mathison.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/tex/bib/einstein.bib;
z3950.loc.gov:7090/Voyager",
note = "Foreword by Clifton Fadiman.",
abstract = "An astonishing cast of more than ninety renowned
writers provides thoughtful and lucid reflections on
some of the major scientific topics of our time ---
from black holes and galaxies to artificial
intelligence and chaos theory. Featuring essays,
articles, and poems penned by notables in the worlds of
both science and literature, this unique book will
delight the science enthusiast and the inquisitive
general reader alike.",
acknowledgement = ack-nhfb,
subject = "Physics; Astronomy; Mathematics; Science; Philosophy;
Physicists; Biography; Astronomers; Mathematicians",
tableofcontents = "Foreword / ix \\
Preface / xi \\
Part 1: Realm of the Atom \\
Atoms and quarks \\
Atoms in motion / Richard P. Feynman / 3 \\
Large and the small / Kenneth W. Ford / 18 \\
Gay tribe of electrons / George Gamow / 38 \\
Radioactive substances / Pierre Curie / 50 \\
$E = m c^2$ / Albert Einstein / 56 \\
Man who listened / Robert P. Crease and Charles C. Mann
/ 60 \\
Theory of electrons and positrons / Paul A. M. Dirac /
80 \\
Copenhagen interpretation of quantum theory / Werner
Heisenberg / 86 \\
Uncertainty and complementarity / Heinz R. Pagels / 97
\\
Schr{\"o}dinger's cat / Heinz R. Pagels / 111 \\
Unified theory of physics / Timothy Ferris / 116 \\
Butterflies and super strings / Freeman J. Dyson / 128
\\
Time and space \\
Distinction of past and future / Richard P. Feynman /
147 \\
Second law of thermodynamics / Max Planck / 163 \\
Age of the elements / David N. Schramm / 170 \\
Two masses / Isaac Asimov / 184 \\
Einstein's law of gravitation / Bertrand Russell / 194
\\
Black holes / Roger Penrose / 203 \\
Black holes ain't so black / Stephen W. Hawking / 226
\\
Part 2: Wider Universe \\
Sun and beyond \\
Total eclipse / Annie Dillard / 241 \\
Astride the comet / Carl Sagan and Ann Druyan / 254 \\
Cosmic terrorist / Richard Muller / 261 \\
I think I see it / Richard Muller / 268 \\
Classifying the stars / Annie J. Cannon / 272 \\
How a supernova explodes / Hans A. Bethe and Gerald
Brown / 277 \\
Measuring the universe / Harlow Shapley / 292 \\
Milky Way galaxy / Bart J. Bok / 299 \\
Structure of the universe \\
Cosmology: the quest to understand the creation and
expansion of the universe / Allan Sandage / 321 \\
Exploration of space / Edwin Hubble / 335 \\
Spherical space / Arthur Stanley Eddington / 346 \\
Primeval atom / Georges Lema{\^\i}tre / 360 \\
New physics and the universe / James Trefil / 365\\
Let there be light: modern cosmogony and biblical
creation / Owen Gingerich / 378 \\
Beginnings and endings \\
First three minutes / Steven Weinberg / 395 \\
Magic furnace / Harald Fritzsch / 410 \\
Origin of the universe / Alan Lightman / 419 \\
How will the world end? / John D. Barrow and Joseph
Silk / 425 \\
Part 3: Cosmos of Numbers \\
About mathematics \\
Mathematician's apology / Godfrey Harold Hardy / 431
\\
Mathematics and creativity / Alfred Adler / 435 \\
How long is the coast of Britain? / Beno{\^\i}t B.
Mandelbrot / 447 \\
Chaos / James Gleick / 456 \\
Artificial intelligence and all that \\
Computers / Lewis Thomas / 475 \\
Computer and the brain / John von Neumann / 478 \\
Can a machine think? / Alan Turing / 492 \\
Math angst \\
Loss of certainty / Morris Kline / 520 \\
Unreasonable effectiveness of mathematics in the
natural sciences / Eugene P. Wigner / 526 \\
What is mathematics? / John D. Barrow / 541 \\
Limits of mathematics / Philip J. Davis and Reuben
Hersh / 559 \\
Part 4: Ways of Science \\
Scientists' lives and works \\
Albert Einstein / John Archibald Wheeler / 563 \\
Autobiographical notes / Albert Einstein / 577 \\
Tribute to Max Planck / Albert Einstein / 590 \\
Rutherford / C. P. Snow / 591 \\
Dirac / Jagdish Mehra / 603 \\
Hilbert / Paul A. M. Dirac / 604 \\
Quest for order / John Tierney / 605 \\
Legend of John von Neumann / P. R. Halmos / 614 \\
On the beach / Andrew Hodges / 629 \\
Ramanujan and Pi / Jonathan M. Borwein and Peter B.
Borwein / 647 \\
Paul Erd{\H{o}}s: mathematician / Lee Dembart / 660 \\
Man of science-Abdus Salam / Nigel Calder / 665 \\
Two shakers of physics: memorial lecture for Sin-itiro
Tomonaga / Julian Schwinger / 675 \\
Robert Wilson and the building of Fermilab / Philip J.
Hilts / 696 \\
Los Alamos / Stanis{\l}aw M. Ulam / 705 \\
Coming into my own / Luis W. Alvarez / 730 \\
Two cultures / C. P. Snow / 741 \\
Women in science / Vivian Gornick / 747 \\
Iron / Primo Levi / 651 \\
Poetry of science / 762 \\
When I heard the learn'd astronomer / Walt Whitman /
762 \\
``I am like a slip of comet \ldots{}'' / Gerard Manley
Hopkins / 762 \\
Arcturus / Emily Dickinson / 763 \\
Star-swirls / Robinson Jeffers / 764 \\
Galaxy / Richard Ryan / 765 \\
Molecular evolution / James Clerk Maxwell / 766 \\
Atomic architecture / A. M. Sullivan / 767 \\
Seeing things / Howard Nemerov / 768 \\
Cosmic gall / John Updike / 768 \\
Nomad / Anthony Piccione / 769 \\
Little cosmic dust poem / John Haines / 770 \\
Connoisseur of chaos / Wallace Stevens / 771 \\
``The Kings of the world \ldots{}'' / Rainer Maria
Rilke / 772 \\
Windy planet / Annie Dillard / 773 \\
Space shuttle / Diane Ackerman / 774 \\
Epistemology / Richard Wilbur / 775 \\
What science says to truth / William Watson / 775 \\
From ``An essay on man'' / Alexander Pope / 776 \\
True enough: to the physicist / Johann Wolfgang von
Goethe / 776 \\
About Planck time / George Bradley / 777 \\
Observatory ode / John Frederick Nims / 778 \\
Philosophy and science \\
Nature of science / Isaac Asimov / 781 \\
Art of discovery / Horace Freeland Judson / 784 \\
Structure of scientific revolutions / Thomas S. Kuhn /
787 \\
Logic of scientific discovery / Karl Popper / 795 \\
Causality and complementarity / Niels Bohr / 801 \\
From ``Letters to Max Born'' / Albert Einstein / 808
\\
Black magic and white magic / Jacob Bronowski / 810 \\
Positivism, metaphysics, and religion / Werner
Heisenberg / 821 \\
Science and religion / Albert Einstein / 828 \\
Acknowledgments / 837 \\
Index / 849",
}
@Proceedings{Byrnes:1992:PSM,
editor = "J. S. Byrnes and Jennifer L. Byrnes and Karl Berry and
Kathryn A. Hargreaves",
booktitle = "Probabilistic and Stochastic Methods in Analysis, with
Applications: Proceedings of the {NATO Advanced Study
Institute}",
title = "Probabilistic and Stochastic Methods in Analysis, with
Applications: Proceedings of the {NATO Advanced Study
Institute}",
volume = "372",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
year = "1992",
ISBN = "0-7923-1804-8",
ISBN-13 = "978-0-7923-1804-0",
LCCN = "????",
bibdate = "Sun Oct 12 11:00:22 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = ser-NATO-ASI-C,
confaddress = "Il Ciocco Resort, Tuscany, Italy",
}
@Book{Peitgen:1992:CFNb,
author = "Heinz-Otto Peitgen and Hartmut J{\"u}rgens and Dietmar
Saupe",
booktitle = "Chaos and Fractals: New Frontiers of Science",
title = "Chaos and Fractals: New Frontiers of Science",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvi + 984",
year = "1992",
ISBN = "0-387-97903-4, 3-540-97903-4",
ISBN-13 = "978-0-387-97903-8, 978-3-540-97903-6",
LCCN = "QA614.86 .P43 1992",
bibdate = "Wed Dec 15 08:05:28 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/texbook2.bib",
note = "With 686 illustrations, 40 in color.",
price = "US\$49",
acknowledgement = ack-nhfb,
}
@Book{Barnsley:1993:FE,
author = "Michael F. Barnsley",
booktitle = "Fractals Everywhere",
title = "Fractals Everywhere",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr-B,
edition = "Second",
pages = "xiv + 531",
year = "1993",
ISBN = "0-12-079061-0",
ISBN-13 = "978-0-12-079061-6",
LCCN = "????",
bibdate = "Sat Sep 8 13:53:06 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Proceedings{Keevallik:1993:ICP,
editor = "Sirje Keevallik and Olavi Karner",
booktitle = "{IRS '92: current problems in atmospheric radiation:
proceedings of the International Radiation Symposium,
Tallinn, Estonia, 3--8 August 1992}",
title = "{IRS '92: current problems in atmospheric radiation:
proceedings of the International Radiation Symposium,
Tallinn, Estonia, 3--8 August 1992}",
publisher = "A. Deepak Pub.",
address = "Hampton, VA, USA",
pages = "xxx + 567",
year = "1993",
ISBN = "0-937194-28-X",
ISBN-13 = "978-0-937194-28-7",
LCCN = "QC912.3.I57 1992",
bibdate = "Mon Aug 26 10:38:41 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/super.bib",
acknowledgement = ack-nhfb,
sponsor = "Estonian Academy of Sciences; Institute of
Astrophysics and Atmospheric Physics. Canadian-Estonian
Joint Venture (ASTRODATA).",
}
@Book{Hirst:1994:FLR,
author = "Bill Hirst",
booktitle = "Fractal landscapes: from the real world",
title = "Fractal landscapes: from the real world",
publisher = "Cornerhouse",
address = "Manchester, UK",
pages = "????",
year = "1994",
ISBN = "0-948797-24-X (cased), 0-948797-23-1 (paperback)",
ISBN-13 = "978-0-948797-24-8 (cased), 978-0-948797-23-1
(paperback)",
LCCN = "TR647.H57 A4 1994",
bibdate = "Sat Sep 8 15:45:01 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
library.mit.edu:9909/mit01",
note = "Photographs by Bill Hirst with an introduction by
Beno{\^\i}t Mandelbrot.",
price = "\pounds 24.95",
acknowledgement = ack-nhfb,
remark = "Exhibition catalogue. Illustrations on inside
covers.",
subject = "Landscape photography; Exhibitions; Nature
photography; Fractals",
}
@Proceedings{Fisher:1995:NAF,
editor = "Yuval Fisher",
booktitle = "{NATO ASI on Fractal Image Encoding and Analysis: July
8--17, 1995, Trondheim, Norway}",
title = "{NATO ASI on Fractal Image Encoding and Analysis: July
8--17, 1995, Trondheim, Norway}",
publisher = pub-SV,
address = pub-SV:adr,
bookpages = "xiii + 368",
pages = "xiii + 368",
year = "1995",
ISBN = "3-540-63196-8",
ISBN-13 = "978-3-540-63196-5",
LCCN = "TA1637 .N38 1998",
bibdate = "Sat Apr 19 11:43:49 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{IEEE:1995:IPI,
editor = "{IEEE}",
booktitle = "{ICIP'95: Proceedings, International Conference on
Image Processing: October 23--26, 1995, Washington, DC,
USA}",
title = "{ICIP'95: Proceedings, International Conference on
Image Processing: October 23--26, 1995, Washington, DC,
USA}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "various",
year = "1995",
ISBN = "0-7803-3122-2 (casebound), 0-8186-7310-9 (softbound),
0-7803-3123-0 (microfiche), 0-7803-2749-7 (CD-ROM)",
ISBN-13 = "978-0-7803-3122-8 (casebound), 978-0-8186-7310-8
(softbound), 978-0-7803-3123-5 (microfiche),
978-0-7803-2749-8 (CD-ROM)",
LCCN = "TK8315.I222 1995",
bibdate = "Sat Apr 19 12:16:07 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/subjects/fractal-image-comp.bib",
note = "Three volumes. IEEE catalog number 95CB35819.",
acknowledgement = ack-nhfb,
}
@Proceedings{Bode:1996:PVM,
editor = "Arndt Bode and Jack Dongarra and T. Ludwig and V.
Sunderam",
booktitle = "Parallel virtual machine, {EuroPVM} '96: third
European {PVM} conference, Munich, Germany, October
7--9, 1996: proceedings",
title = "Parallel virtual machine, {EuroPVM} '96: third
European {PVM} conference, Munich, Germany, October
7--9, 1996: proceedings",
volume = "1156",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 362",
year = "1996",
CODEN = "????",
ISBN = "3-540-61779-5",
ISBN-13 = "978-3-540-61779-2",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
LCCN = "QA76.58.E975 1996",
bibdate = "Sat Apr 19 16:34:54 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib",
series = ser-LNCS,
acknowledgement = ack-nhfb,
conflocation = "Munich, Germany; 7-9 Oct. 1996",
conftitle = "Parallel Virtual Machine - EuroPVM '96. Third European
PVM Conference. Proceedings",
corpsource = "Computations and Commun. Res. Labs., NEC Europe Ltd.,
Sankt Augustin, Germany",
keywords = "Parallel computers -- Congresses; Virtual computer
systems -- Congresses.",
pubcountry = "Germany",
treatment = "P Practical",
}
@Proceedings{Evertsz:1996:FGA,
editor = "C. J. G. (Carl J. G.) Evertsz and Heinz-Otto Peitgen
and Richard Frederick Voss",
booktitle = "{Fractal geometry and analysis: the Mandelbrot
festschrift, Cura{\c{c}}ao 1995}",
title = "{Fractal geometry and analysis: the Mandelbrot
festschrift, Cura{\c{c}}ao 1995}",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xii + 512",
year = "1996",
ISBN = "981-02-2434-6",
ISBN-13 = "978-981-02-2434-9",
ISSN = "0218-348X",
LCCN = "QA614.86 .F677 1996",
MRclass = "00B30",
MRnumber = "1410276 (97c:00059)",
bibdate = "Sat Sep 8 15:40:11 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "Papers from a symposium held Feb. 2-44, 1995, in
Cura{\c{c}}ao, Netherlands Antilles, honoring
Beno{\^\i}t Mandelbrot's 70th birthday.",
subject = "Fractals; Congresses",
tableofcontents = "The dynamics of fractals, P. Bak and M. Paczuski
\\
Cooperative strategies in formation of complex
bacterial patterns, E. Ben-Jacob et al \\
Fractals and the universe, P. H. Coleman \\
Quadtrees, Mandelbrot percolation and modelling of
random sets, F. M. Dekking \\
The fractal geometry of the Mandelbrot set 2 --- how to
count and how to add, R. L. Devaney \\
Deposition problems, S. F. Edwards \\
Mixing and disorder, E. Guyon \\
The deformation of rocks --- fractals everywhere, H. J.
Herrmann et al \\
Distribution of structural properties for percolation
clusters, J.-P. Hovi and A. Aharony \\
A continued fraction titbit, M. Keane \\
Scaling properties of the Kuramoto--Sivashinksy
equation, J. Li and L. N. Sander \\
Fractals and secondary migration, P. Meakin et al \\
Mandelbrot's economics after a quarter century, P.
Mirowski \\
Theoretical concepts for fractal growth and
self-organized criticality, L. Pietronero \\
Fractal aspects in polymer science, H. Schiessel and A.
Blumen \\
L{\'e}vy flights --- chaotic, turbulent and
relativistic, M. F. Shlesinger et al \\
Super Brownian motion is a fractal measure for which
the multifractal formalism is invalid, S. J. Taylor \\
and other papers",
}
@Proceedings{Vijayaraman:1996:PTS,
editor = "T. M. Vijayaraman and Alejandro P. Buchmann and C.
Mohan and Nandlal L. Sarda",
booktitle = "Proceedings of the twenty-second international
Conference on Very Large Data Bases, September 3--6,
1996, Mumbai (Bombay), India",
title = "Proceedings of the twenty-second international
Conference on Very Large Data Bases, September 3--6,
1996, Mumbai (Bombay), India",
publisher = pub-MORGAN-KAUFMANN,
address = pub-MORGAN-KAUFMANN:adr,
pages = "xvi + 603",
year = "1996",
ISBN = "1-55860-382-4",
ISBN-13 = "978-1-55860-382-0",
LCCN = "QA76.9D3 I559 1996",
bibdate = "Tue Oct 21 15:14:31 MDT 1997",
bibsource = "DBLP; http://dblp.uni-trier.de;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
sponsor = "Computer Society of India. VLDB Endowment India.",
}
@Proceedings{Grisson:1998:CAA,
editor = "Scott Grisson and Janet McAndless and Omar Ahmad and
Christopher Stapleton and Adele Newton and Celia Pearce
and Ryan Ulyate and Rick Parent",
booktitle = "Conference abstracts and applications: SIGGRAPH 98,
July 14--21, 1998, Orlando, FL",
title = "Conference abstracts and applications: {SIGGRAPH} 98,
July 14--21, 1998, Orlando, {FL}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "332",
year = "1998",
ISBN = "1-58113-046-5, 1-58113-048-1 (CD-ROM)",
ISBN-13 = "978-1-58113-046-1, 978-1-58113-048-5 (CD-ROM)",
LCCN = "T385 .S54 1998b",
bibdate = "Mon Oct 04 23:28:35 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "ACM order number for CD-ROM: 435984. ACM order number:
435983.",
series = j-COMP-GRAPHICS,
URL = "http://info.acm.org/pubs/contents/proceedings/graph/",
acknowledgement = ack-nhfb,
}
@Book{Stewart:1998:DJN,
author = "Ian Stewart",
booktitle = "Dieu joue-t-il aux d{\'e}s ?: les nouvelles
math{\'e}matiques du chaos",
title = "Dieu joue-t-il aux d{\'e}s ?: les nouvelles
math{\'e}matiques du chaos",
publisher = "Flammarion",
address = "Paris, France",
edition = "Second",
pages = "vii + 602",
year = "1998",
ISBN = "2-08-081411-7 (hardcover), 2-08-081302-1 (paperback)",
ISBN-13 = "978-2-08-081411-1 (hardcover), 978-2-08-081302-2
(paperback)",
LCCN = "????",
bibdate = "Sat Sep 8 15:45:31 MDT 2012",
bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Preface by Beno{\^\i}t Mandelbrot. Translation by
Marianne Robert from the English edition. Remarks for
the second edition by Marcel Filoche.",
acknowledgement = ack-nhfb,
}
@Proceedings{Dongarra:1999:RAP,
editor = "J. J. Dongarra and E. Luque and Tomas Margalef",
booktitle = "Recent advances in parallel virtual machine and
message passing interface: 6th European {PVM}\slash
{MPI} Users' Group Meeting, Barcelona, Spain, September
26--29, 1999: proceedings",
title = "Recent advances in parallel virtual machine and
message passing interface: 6th European {PVM}\slash
{MPI} Users' Group Meeting, Barcelona, Spain, September
26--29, 1999: proceedings",
volume = "1697",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xvii + 551",
year = "1999",
CODEN = "????",
ISBN = "3-540-66549-8 (softcover)",
ISBN-13 = "978-3-540-66549-6 (softcover)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
LCCN = "QA76.58 E973 1999",
bibdate = "Wed Dec 8 06:34:56 MST 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/pvm.bib",
series = ser-LNCS,
acknowledgement = ack-nhfb,
alttitle = "PVM/MPI '99",
keywords = "Data transmission systems; Parallel computers; Virtual
computer systems",
}
@Book{Barnsley:2002:FM,
editor = "Michael F. Barnsley and Dietmar Saupe and Edward R.
Vrscay",
title = "Fractals in Multimedia",
volume = "132",
publisher = pub-SV,
address = pub-SV:adr,
year = "2002",
DOI = "https://doi.org/10.1007/978-1-4684-9244-6",
ISBN = "1-4419-3037-X",
ISBN-13 = "978-1-4419-3037-8",
ISSN = "0940-6573",
ISSN-L = "0940-6573",
LCCN = "QA273.A1-274.9; QA274-274.9",
bibdate = "Tue Apr 29 18:44:55 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/probstat2000.bib;
prodorbis.library.yale.edu:7090/voyager",
series = "The IMA Volumes in Mathematics and its Application",
abstract = "This volume describes the status of fractal imaging
research and looks to future directions. It will be
useful to researchers in the areas of fractal image
compression, analysis, and synthesis, iterated function
systems, and fractals in education. In particular it
includes a vision for the future of these areas. It
aims to provide an efficient means by which researchers
can look back over the last decade at what has been
achieved, and look forward towards second-generation
fractal imaging. The articles in themselves are not
meant to be detailed reviews or expositions, but to
serve as signposts to the state of the art in their
areas. What is important is what they mention and what
tools and ideas are seen now to be relevant to the
future. The contributors, a number of whom have been
involved since the start, are active in fractal
imaging, and provide a well-informed viewpoint on both
the status and the future. Most were invited
participants at a meeting on Fractals in Multimedia
held at the IMA in January 2001. Some goals of the
mini-symposium, shared with this volume, were to
demonstrate that the fractal viewpoint leads to a broad
collection of useful mathematical tools, common themes,
new ways of looking at and thinking about existing
algorithms and applications in multimedia, and to
consider future developments. This book should be
useful to commercial and university researchers in the
rapidly evolving field of digital imaging,
specifically, chief information officers, professors,
software engineers, and graduate students in the
mathematical sciences. While much of the content is
quite technical, it contains pointers to the
state-of-the-art and the future in fractal imaging.",
acknowledgement = ack-nhfb,
subject = "Mathematics; Computer science; Differentiable
dynamical systems; Geometry; Distribution (Probability
theory)",
}
@Book{Frame:2002:FGM,
author = "Michael Frame and Beno{\^\i}t B. Mandelbrot",
booktitle = "Fractals, graphics, and mathematics education",
title = "Fractals, graphics, and mathematics education",
publisher = "The Mathematical Association of America (MAA)",
address = "Washington, DC",
pages = "xiii + 206",
year = "2002",
ISBN = "0-88385-169-5",
ISBN-13 = "978-0-88385-169-2",
LCCN = "QA614.86 .F68424 2002",
bibdate = "Sat Sep 8 13:05:39 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
note = "Foreword by Lynn Arthur Steen.",
series = "MAA notes",
URL = "http://www.loc.gov/catdir/description/cam022/2001097388.html;
http://www.loc.gov/catdir/toc/cam027/2001097388.html",
ZMnumber = "Zbl 1007.00010",
acknowledgement = ack-nhfb,
classmath = "00A35 (Methodology of mathematics, didactics) 00B10
(Collections of articles of general interest) 28A80
(Fractals) 97-06 (Proceedings of conferences
(Mathematics education))",
keywords = "Fractals; Graphics; Mathematics education",
reviewer = "H. C. F{\"u}nning (Berlin)",
tableofcontents = "Part I. Introductory Essays: \\
(1) Some reasons for the effectiveness of fractal
geometry in mathematics education \\
(2) Unsolved problems and still emerging concepts \\
(3) Fractals, graphics and mathematics education \\
(4) Mathematics and society in the twentieth century
\\
Part II. Classroom Experiences: \\
(5) Teaching fractals and dynamical systems at the
Hotchkiss school \\
(6) Reflection on Wada basins: some fractals with a
twist \\
(7) Learning and teaching about fractals \\
(8) The fractal geometry of the Mandelbrot set: periods
of the bulbs \\
(9) Fractals -- energizing the mathematics classroom
\\
(10) Other chaos games \\
(11) Creating and teaching undergraduate courses in
fractal geometry: a personal experience \\
(12) Exploring Fractal dimensions by experiment \\
(13) Fractal themes on all levels \\
(14) Art and fractals: artistic explorations of natural
self-similarity \\
(15) Order and chaos, art and magic: a first college
course in quantitative reasoning based on fractals and
chaos \\
(16) A software driven undergraduate fractals course
\\
Part III. A Final Word: \\
(17) The fractal ring from art to art through
mathematics, finance and the sciences \\
Part IV. Appendices: \\
(18) Panorama of fractals and their uses. An alphabetic
workbook-index \\
(19) Reports of some field experiences",
tableofcontents-2 = "Some reasons for the effectiveness of fractals in
mathematics education / Beno{\^\i}t Mandelbrot. Michael
Frame \\
Unsolved problems and still-emerging concepts in
fractal geometry \\
Fractals, graphics, and mathematics education \\
Mathematics and society in the 20th century /
Beno{\^\i}t Mandelbrot \\
Teaching fractals and dynamical systems at the
Hotchkiss school / Melkana Brakalova, David Coughlin
\\
Reflecting on wada basins: some fractals with a twist /
Dane Camp \\
Learning and teaching about fractals / Donald M. Davis
\\
The Fractal geometry of the Mandelbrot set: periods of
the bulbs / Robert L. Devaney \\
Fractals: energizing the mathematics classroom / Vicky
Fegers, Mary Beth Johnson \\
Other chaos games / Sandy Fillebrown \\
Creating and teaching undergraduate courses and
seminars in fractal geometry: a personal experience /
Michel Lapidus \\
Exploring fractal dimensions by experiment / Ron Lewis
\\
Fractal themes at every level / Kenneth G. Monks \\
Art and fractals: artistic explorations of natural
self-similarity / Brianna Murratti, Michael Frame \\
Order and chaos, art and magic: a first college course
in quantitative reasoning based on fractals and chaos /
David Peak, Michael Frame \\
A Software driven undergraduate fractals course /
Douglas C. Ravenel \\
The Fractal ring from art to art through mathematics,
finance, and the sciences / Beno{\^\i}t B. Mandelbrot
\\
Panorama of fractals and their uses: an alphabetic
wordbook-index / Michael Frame, Beno{\^\i}t B.
Mandelbrot \\
Report of some field experiences",
}
@Proceedings{ACM:2003:PTF,
editor = "{ACM}",
booktitle = "{Proceedings of the Thirty-Fifth ACM Symposium on
Theory of Computing, San Diego, CA, USA, June 9--11,
2003}",
title = "{Proceedings of the Thirty-Fifth ACM Symposium on
Theory of Computing, San Diego, CA, USA, June 9--11,
2003}",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "xii + 728",
year = "2003",
ISBN = "1-58113-674-9",
ISBN-13 = "978-1-58113-674-6",
LCCN = "QA75.5 .A22 2003",
bibdate = "Tue Jan 13 06:29:11 2004",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "ACM order number 508030.",
acknowledgement = ack-nhfb,
}
@Proceedings{IEEE:2003:PAI,
editor = "{IEEE}",
booktitle = "{Proceedings: 44th Annual IEEE Symposium on
Foundations of Computer Science, FOCS 2003, 11--14
October 2003, Cambridge, Massachusetts}",
title = "{Proceedings: 44th Annual IEEE Symposium on
Foundations of Computer Science, FOCS 2003, 11--14
October 2003, Cambridge, Massachusetts}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xiii + 661",
year = "2003",
CODEN = "ASFPDV",
ISBN = "0-7695-2040-5",
ISBN-13 = "978-0-7695-2040-7",
ISSN = "0272-5428",
LCCN = "QA76 .S979 2003",
bibdate = "Fri Jul 15 14:29:27 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/focs2000.bib",
note = "IEEE Computer Society Order Number PR02040.",
URL = "http://ieeexplore.ieee.org/iel5/8767/27770/01238173.pdf;
http://ieeexplore.ieee.org/xpl/RecentCon.jsp?punumber=8767&conhome=1000292",
acknowledgement = ack-nhfb,
}
@Book{Rachev:2003:HHT,
editor = "Svetlozar T. Rachev",
booktitle = "Handbook of heavy tailed distributions in finance",
title = "Handbook of heavy tailed distributions in finance",
volume = "1",
publisher = pub-ELSEVIER,
address = pub-ELSEVIER:adr,
pages = "xxiv + 680",
year = "2003",
ISBN = "0-444-50896-1",
ISBN-13 = "978-0-444-50896-6",
LCCN = "????",
bibdate = "Sat Sep 8 17:35:12 MDT 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Handbooks in Finance",
}
@Proceedings{Raidl:2003:AEC,
editor = "Gunther Raidl",
booktitle = "{Applications of evolutionary computing: EvoWorkshops
2003: EvoBIO, EvoCOP, EvoIASP, EvoMUSART, EvoROB, and
EvoSTIM, Essex, UK, April 14--16, 2003: Proceedings}",
title = "{Applications of evolutionary computing: EvoWorkshops
2003: EvoBIO, EvoCOP, EvoIASP, EvoMUSART, EvoROB, and
EvoSTIM, Essex, UK, April 14--16, 2003: Proceedings}",
volume = "2611",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xxi + 708",
year = "2003",
CODEN = "LNCSD9",
DOI = "????",
ISBN = "3-540-00976-0 (softcover)",
ISBN-13 = "978-3-540-00976-4 (softcover)",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
LCCN = "QA76.618 .E899 2003",
bibdate = "Thu Aug 21 09:09:03 MDT 2003",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/lncs.bib",
series = ser-LNCS,
URL = "http://link.springer-ny.com/link/service/series/0558/tocs/t2611.htm;
http://www.springerlink.com/content/978-3-540-00976-4;
http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=2611",
acknowledgement = ack-nhfb,
keywords = "evolutionary computation --- congresses; evolutionary
programming (computer science) --- congresses",
}
@Proceedings{Lapidus:2004:FGAa,
editor = "Michel L. Lapidus and Machiel van Frankenhuijsen",
booktitle = "{Fractal geometry and applications: a jubilee of
Beno{\^\i}t Mandelbrot. Part 1. Proceedings of a
Special Session of the Annual Meeting of the American
Mathematical Society held in San Diego, CA, January
2002}",
title = "{Fractal geometry and applications: a jubilee of
Beno{\^\i}t Mandelbrot. Part 1. Proceedings of a
Special Session of the Annual Meeting of the American
Mathematical Society held in San Diego, CA, January
2002}",
volume = "72",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xii + 517",
year = "2004",
ISBN = "0-8218-3637-4 (part 1), 0-8218-3292-1 (set)",
ISBN-13 = "978-0-8218-3637-8 (part 1), 978-0-8218-3292-9 (set)",
LCCN = "QA325 .F73 2004",
MRclass = "28-06 (00B30 28A80 37C45 60-06)",
MRnumber = "2109001 (2005g:28001)",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Analysis, number theory, and dynamical systems",
series = "Proceedings of Symposia in Pure Mathematics",
acknowledgement = ack-nhfb,
tableofcontents = "Part I: Fractal geometry and applications --- An
introduction to this volume by M. L. Lapidus \\
Cherche Livre \ldots{} et plus si affinit{\'e}\slash
Looking for a book \ldots{} and more, if affinity by J.
Barral and S. Jaffard \\
Benefiting from fractals by M. Berry \\
Beno{\^\i}t Mandelbrot, wizard of science by M.-O.
Coppens \\
Mandelbrot's vision for mathematics by R. L. Devaney
\\
Beno{\^\i}t Mandelbrot and York by M. M. Dodson \\
Nul n'entre ici s'il n'est geom{\`e}tre\slash Let no
one ignorant of geometry enter here by B. Duplantier
\\
A decade of working with a maverick by M. L. Frame \\
Breakfast with Mandelbrot by M. Frantz \\
Old memories by J.-P. Kahane \\
My encounters with Beno{\^\i}t Mandelbrot by D. B.
Mumford \\
Fractal geometry and the foundations of physics by L.
Nottale \\
Is randomness partially tamed by fractals? by B.
Sapoval \\
On knowing Beno{\^\i}t Mandelbrot by J. E. Taylor \\
Analysis: Reflections, ripples and fractals by M. M.
France \\
Lacunarity, Minkowski content, and self-similar sets in
$\mathbb{R}$ by M. Frantz \\
Fractals and geometric measure theory: Friends and foes
by F. Morgan \\
Eigenmeasures, equidistribution, and the multiplicity
of $\beta$-expansions by H. Furstenberg and Y.
Katznelson \\
Distances on topological self-similar sets by A.
Kameyama \\
Energy and laplacian on the Sierpinski gasket by A.
Teplyaev \\
Electrical networks, symplectic reductions, and
application to the renormalization map of self-similar
lattices by C. Sabot \\
Notes on Bernoulli convolutions by B. Solomyak \\
Number theory: Some connections between Bernoulli
convolutions and analytic number theory by T.
Hilberdink \\
On Davenport expansions by S. Jaffard \\
Hausdorff dimension and diophantine approximation by M.
M. Dodson and S. Kristensen \\
Fractality, self-similarity and complex dimensions by
M. L. Lapidus and M. van Frankenhuijsen \\
Dynamical systems: The invariant fractals of symplectic
piecewise affine elliptic dynamics by B. Kahng \\
Almost sure rotation number of circle endomorphisms by
S. Crovisier \\
Kneading determinants and transfer operators in higher
dimensions by V. Baladi \\
The spectrum of dimensions for Poincare recurrences for
nonuniformly hyperbolic geometric constructions by V.
Afraimovich, L. Ramirez, and E. Ugalde \\
A survey of results in random iteration by M. Comerford
\\
On fibers and local connectivity of Mandelbrot and
multibrot sets by D. Schleicher \\
Part II: Multifractals: Introduction to infinite
products of independent random functions (Random
multiplicative multifractal measures, part I) by J.
Barral and B. B. Mandelbrot \\
Non-degeneracy, moments, dimension, and multifractal
analysis for random multiplicative measures (Random
multiplicative multifractal measures, part II) by J.
Barral and B. B. Mandelbrot \\
Techniques for the study of infinite products of
independent random functions (Random multiplicative
multifractal measures, part III) by J. Barral \\
Wavelet techniques in multifractal analysis by S. P.
Jaffard \\
The 2-microlocal formalism by J. L. Vehel and S. Seuret
\\
A vectorial multifractal formalism by J. Peyriere \\
Probability and statistical mechanics: Heat kernel
estimates for symmetric random walks on a class of
fractal graphs and stability under rough isometries by
B. M. Hambly and T. Kumagai \\
Random fractals and Markov processes by Y. Xiao \\
On the scaling limit of planar self-avoiding walk by G.
F. Lawler, O. Schramm, and W. Werner \\
Conformal fractal geometry and boundary quantum gravity
by B. Duplantier \\
Applications: Self-organized percolation power laws
with and without fractal geometry in the etching of
random solids by A. Desolneux, B. Sapoval, and A.
Baldassarri \\
Nature inspired chemical engineering --- Learning from
the fractal geometry of nature in sustainable chemical
engineering by M.-O. Coppens \\
Fractal forgeries of nature by F. K. Musgrave",
}
@Proceedings{Lapidus:2004:FGAb,
editor = "Michel L. Lapidus and Machiel van Frankenhuijsen",
booktitle = "{Fractal geometry and applications: a jubilee of
Beno{\^\i}t Mandelbrot. Part 2. Proceedings of a
Special Session of the Annual Meeting of the American
Mathematical Society held in San Diego, CA, January
2002}",
title = "{Fractal geometry and applications: a jubilee of
Beno{\^\i}t Mandelbrot. Part 2. Proceedings of a
Special Session of the Annual Meeting of the American
Mathematical Society held in San Diego, CA, January
2002}",
volume = "72",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xii + 574",
year = "2004",
ISBN = "0-8218-3638-2 (part 2), 0-8218-3292-1 (set)",
ISBN-13 = "978-0-8218-3638-5 (part 2), 978-0-8218-3292-9 (set)",
LCCN = "QA325 .F73 2004",
MRclass = "28-06 (00B30 28A80 37C45 60-06)",
MRnumber = "2112118 (2005g:28002)",
bibdate = "Wed Sep 5 15:35:17 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
note = "Multifractals, probability and statistical mechanics,
applications",
series = "Proceedings of Symposia in Pure Mathematics",
acknowledgement = ack-nhfb,
}
@Proceedings{Novak:2004:TPF,
editor = "M. M. (Miros{\l}av Micha{\l}) Novak",
booktitle = "Thinking in patterns: fractals and related phenomena
in nature",
title = "Thinking in patterns: fractals and related phenomena
in nature",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "xi + 323",
year = "2004",
ISBN = "981-238-822-2",
ISBN-13 = "978-981-238-822-3",
LCCN = "QC20.7.F73 T45 2004",
bibdate = "Sat Sep 8 15:40:11 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
remark = "This book celebrates Beno{\^\i}t B. Mandelbrot's 80th
birthday. The papers in this book are based on
presentations at the 8th international conference,
Fractal 2004.",
subject = "Fractals; Congresses",
}
@Book{Peitgen:2004:CFN,
author = "Heinz-Otto Peitgen and H. (Hartmut) J{\"u}rgens and
Dietmar Saupe",
booktitle = "Chaos and fractals: new frontiers of science",
title = "Chaos and fractals: new frontiers of science",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xiii + 864",
year = "2004",
ISBN = "0-387-20229-3",
ISBN-13 = "978-0-387-20229-7",
LCCN = "Q172.5.C45 P45 2004",
bibdate = "Fri Mar 9 08:29:55 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/prng.bib;
z3950.loc.gov:7090/Voyager",
URL = "http://www.loc.gov/catdir/enhancements/fy0818/2003063341-d.html;
http://www.loc.gov/catdir/enhancements/fy0818/2003063341-t.html",
acknowledgement = ack-nhfb,
subject = "Chaotic behavior in systems; Fractals",
}
@Proceedings{Weibel:2005:MFGb,
editor = "Gabriele A. Losa and Danilo Merlini and Theo F.
Nonnenmacher and Ewald R. Weibel",
booktitle = "{Mandelbrot's fractals and the geometry of life: A
tribute to Beno{\^\i}t Mandelbrot on his 80(th)
birthday}",
title = "{Mandelbrot's fractals and the geometry of life: A
tribute to Beno{\^\i}t Mandelbrot on his 80(th)
birthday}",
volume = "IV",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
year = "2005",
DOI = "https://doi.org/10.1007/3-7643-7412-8_1",
ISBN = "3-7643-7172-2 (hardcover)",
ISBN-13 = "978-3-7643-7172-2 (hardcover)",
LCCN = "????",
bibdate = "Fri Jun 7 07:19:03 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
series = "Fractals in Biology and Medicine",
abstract = "This book is a compilation of the presentations given
at the Fourth International Symposium on Fractals in
Biology and Medicine held in Ascona, Switzerland on
10--13 March 2004 and was dedicated to Professor
Beno{\^i}t Mandelbrot in honour of this 80th birthday.
The symposium was the fourth of a series that
originated back in 1993, always in Ascona. This title
highlights the potential that fractal geometry offers
for elucidating and explaining the complex make-up of
cells, tissues and biological organisms either in
normal, abnormal and tumoral conditions.",
acknowledgement = ack-nhfb,
classification = "Ascona, Switzerland",
conference-date = "March 10--13, 2004",
conference-name = "4th International Symposium on Fractals in Biology
and Medicine",
fjournal = "Fractals in Biology and Medicine, Vol IV",
journalabr = "Mathematics and Biosciences in Interaction",
sponsor = "Int Soc Stereol; Swiss Natl Sci Fdn; Italian Soc
Microscop Sci; Inst Sci Interdisciplinary Studies, Res
Ctr Math \& Phys; Swiss Italian Broadcasting, Rete Due;
Republ Cantone Tieino, Dept Educ Culture \& Sport",
tableofcontents = "Foreword / ix \\
Fractal Structures in Biological Systems / 1 \\
Mandelbrot's Fractals and the Geometry of Life: A
Tribute to Beno{\^\i}t Mandelbrot on his 80$^{\rm th}$
Birthday / E. R. Weibel / 3 \\
Gas Diffusion through the Fractal Landscape of the
Lung: How Deep Does Oxygen Enter the Alveolar System? /
C. Hou, S. Gheorghiu, M.-O. Coppens, V. H. Huxley, and
P. Pfeifer / 17 \\
Is the Lung an Optimal Gas Exchanger? / S. Gheorghiu,
S. Kjelstrup P. Pfeifer, and M.-O. Coppens / 31 \\
$3$D Hydrodynamics in the Upper Human Bronchial Tree:
Interplay between Geometry and Flow Distribution B.
Mauroy / 43 \\
Fractal Aspects of Three-Dimensional Vascular
Constructive Optimization / K. Hahn, M. Georg, and
H.-O. Peitgen / 55 \\
Cognition Network Technology: Object Orientation and
Fractal Topology in Biomedical Image Analysis. Method
and Applications / M. Baatz, A. Schape, G. Schmidt, M.
Athelogou, and G. Binnig / 67 \\
The Use of Fractal Analysis for the Quantification of
Oocyte Cytoplasm Morphology / G. A. Losa, V. Peretti,
F. Ciotola, N. Cocchia, and G. De Vico / 75 \\
Fractal Structures in Neurosciences / 83 \\
Fractal Analysis: Pitfalls and Revelations in
Neuroscience / H. F. Jelinek. N. Elston, and B. Zietsch
/ 85 \\
Ongoing Hippocampal Neuronal Activity in Human: Is it
Noise or Correlated Fractal Process? / J. Bhattachaya,
J. Edwards, A. Mamelak, and E. M. Schuamn / 95 \\
Do Mental and Social Processes have a Self-Similar
Structure? The Hypothesis of Fractal Affect-Logic / L.
Cionpi and M. Baatz / 107 \\
Scaling Properties of Cerebral Hemodynamics / M. Laka,
A. Turalska, D. Kolodziej, D Latka, B. Goldstein, and
B. J. West / 121 \\
A Multifractal Dynamical Model of Human Gait / B. J.
West and N. Scafetta / 31 \\
Dual Antagonistic Autonomic Control Necessary for $1 /
f$ Scaling in Heart Rate / Z. R. Struzi; J. Hayano, S.
Sakata, S. Kwak, and Y. Yamamoto / 141 \\
Fractal Structures in Tumours and Diseases / 153 \\
Tissue Architecture and Cell Morphology of Squamous
Cell Carcinomas Compared to Granular Cell Tumours'
Pseudo-epitheliomatous Hyperplasia and to Normal Oral
Mucosae / R. Abu-Eid and G> Landini / 155 \\
Statistical Shape Analysis Applied to Automatic
Recognition of Tlumor Cells / A. Micheletti \\
Fractal Analysis of Monolayer Cell Nuclei from Two
Different Prognostic Classes of Early Ovarian Cancer /
B. Nielsen, F. Albregtsen, and H. E. Danielsen / 75 \\
Fractal Analysis of Vascular Network Pattern in Human
Diseases / G. Bianciardi, C. De Felice, R. Cattaneo, S.
Parrini, A. Monaco, and G. Latini / 187 \\
Quantification of Local Architecture Changes Associated
with Neoplastic Progression in Oral Epithelium using
Graph Theory / G. Landini, and I. E. Othman / 193 \\
Fractal Analysis of Canine Trichoblastoma / G. de Vico,
M. Cataldi, P. Maiolino, S. Beltraminelli, and G. A.
Losa / 203 \\
Fractal Dimension as a Novel Clinical Parameter in
Evaluation of the Urodynamic Curves / P. Waliszewski,
U. Rebmann, and J. Konarski / 209 \\
Nonlinear Dynamics in Uterine Contractions Analysis /
E. Oczeretko, A. Kitlas, J. Swiatecka, M. Borowska, and
T. Laudanski / 215 \\
Computer-Aided Estimate and Modelling of the
Geometrical Complexity of the Corneal Stroma / F.
Grizz, C. Russo, I. Torres-Munoz, B. Franceschini, P.
Vinciguerra, and N. Dioguardi / 223 \\
Complex-Dynamical Extension of the Fractal Paradigm and
Its Applications in Life Science / A. P. Kiriluk / 233
\\
Fractal-like Features of Diosaur Eggshells / V. Rusu
and S. Gheorghiu / 245 \\
Evolution and Regulation of Metabolic Networks / G.
Damiani / 257 \\
Cytoskeleton as a Fractal Percolation Cluster: Some
Biological Remarks / S. Traverso / 269 \\
A Mistery of the Gompertz Function / P. Waliszewski and
J. Konarski / 277 \\
Fractional Calculus and Symbolic Solution of Fractional
Differential Equations / S. Baumann / 287 \\
Fox-Function Representation of a Generalized Arrhenius
Law and Applications / T. Nonnenmacher / 299 \ Index /
309",
}
@Proceedings{Carpinteri:2006:IHP,
editor = "Alberto Carpinteri and Yiu-Wing Mai and Robert O.
Ritchie",
booktitle = "{ICF11 2005: honour and plenary lectures presented at
the 11th International Conference on Fracture (ICF11),
held in Turin, Italy, on March 20--25, 2005}",
title = "{ICF11 2005: honour and plenary lectures presented at
the 11th International Conference on Fracture (ICF11),
held in Turin, Italy, on March 20--25, 2005}",
volume = "131(1--2)",
publisher = pub-SV,
address = pub-SV:adr,
pages = "262",
year = "2006",
DOI = "https://doi.org/10.1007/978-1-4020-5423-5",
ISBN = "1-4020-4626-X (cloth), 1-4020-5423-8 (e-book)",
ISBN-13 = "978-1-4020-4626-1 (cloth), 978-1-4020-5423-5
(e-book)",
LCCN = "TA409 .I44 2005eb",
bibdate = "Sat Sep 8 17:38:51 MDT 2012",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Devaney:2006:CDT,
editor = "Robert L. Devaney and Linda Keen",
booktitle = "{Complex dynamics: twenty-five years after the
appearance of the Mandelbrot set: proceedings of an
AMS-IMS-SIAM Joint Summer Research Conference on
Complex Dynamics --- Twenty-five Years after the
Appearance of the Mandelbrot Set, June 13--17, 2004,
Snowbird, Utah}",
title = "{Complex dynamics: twenty-five years after the
appearance of the Mandelbrot set: proceedings of an
AMS-IMS-SIAM Joint Summer Research Conference on
Complex Dynamics --- Twenty-five Years after the
Appearance of the Mandelbrot Set, June 13--17, 2004,
Snowbird, Utah}",
volume = "396",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "viii + 206",
year = "2006",
ISBN = "0-8218-3625-0",
ISBN-13 = "978-0-8218-3625-5",
ISSN = "0271-4132 (print), 1098-3627 (electronic)",
LCCN = "QA614.86.A47 2004",
bibdate = "Sat Sep 8 15:45:01 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
library.mit.edu:9909/mit01",
series = "Contemporary mathematics",
acknowledgement = ack-nhfb,
meetingname = "AMS-IMS-SIAM Joint Summer Research Conference on
Complex Dynamics: Twenty-five Years after the
Appearance of the Mandelbrot Set (2004 : Snowbird,
Utah)",
subject = "Mandelbrot sets; Congresses; Dynamics; System theory;
Mappings (Mathematics); Domains of holomorphy;
Polynomials; Numbers, Complex",
tableofcontents = "Indecomposable continua and the Julia sets of
rational maps / Douglas K. Childers, John C. Mayer, H.
Murat Tungali and E. D. Tymchatyn \\
The Henon family : the complex horseshoe locus and real
parameter space / Eric Bedford and John Smillie \\
Baby Mandelbrot sets adorned with halos in families of
rational maps / Robert L. Devaney \\
Blowup points and baby Mandelbrot sets for singularly
perturbed rational maps / Robert L. Devaney, Matt
Holzer and David Uminsky \\
Some remarks on the connectivity of Julia sets for
2-dimensional diffeomorphisms / Romain Dujardin \\
Rigorous numerical studies of the dynamics of
polynomial skew products of C$^{}^2$ / Suzanne Lynch
Hruska \\
Accumulation points of iterated function systems /
Linda Keen and Nikola Lakic \\
Parabolic perturbation of the family $\lambda \tan z$ /
Linda Keen and Shenglan Yuan \\
Polynomial vector fields, dessins d'enfants, and circle
packings / Kevin M. Pilgrim \\
Siegel disks whose boundaries have only two
complementary domains / James T. Rogers, Jr. \\
Non-uniform porosity for a subset of some Julia sets /
Kimberly A. Roth \\
The existence of conformal measures for some
transcendental meromorphic functions / Bartlomiej
Skorulski \\
Open problems / Linda Keen",
}
@Book{Albers:2008:MPP,
editor = "Donald J. Albers and Gerald L. Alexanderson",
title = "Mathematical people: profiles and interviews",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
edition = "Second",
pages = "xxvi + 386",
year = "2008",
ISBN = "1-56881-340-6",
ISBN-13 = "978-1-56881-340-0",
LCCN = "QA28 .M37 2008",
bibdate = "Mon Aug 10 17:01:29 MDT 2009",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
libnote = "Not yet in my library.",
subject = "mathematicians; biography",
tableofcontents = "Garrett Birkhoff / interviewed by G. L.
Alexanderson and Carroll Wilde \\
David Blackwell / interviewed by Donald J. Albers \\
Shiing-Shen Chern / by William Chinn and John Lewis \\
John H. Conway / by Richard K. Guy \\
H. S. M. Coxeter / interviewed by Dave Logothetti \\
Persi Diaconis / interviewed by Donald J. Albers \\
Paul Erd{\H{o}}s / interviewed by G. L. Alexanderson
\\
Martin Gardner: defending the honor of the human mind /
by Peter Renz \\
Martin Gardner: master of recreational mathematics and
much more / interviewed by Donald J. Albers \\
Ronald L. Graham / by Donald J. Albers \\
Paul Halmos / interviewed by Donald J. Albers \\
Peter J. Hilton / interviewed by Lynn A. Steen and G.
L. Alexanderson \\
John Kemeny / interviewed by Lynn A. Steen \\
Morris Kline / interviewed by G. L. Alexanderson \\
Donald Knuth / interviewed by Donald J. Albers and Lynn
A. Steen \\
Solomon Lefschetz: a reminiscence / by Albert W. Tucker
\\
Beno{\^\i}t Mandelbrot / interviewed by Anthony
Barcellos \\
Henry Pollak / interviewed by Donald J. Albers and
Michael J. Thibodeaux \\
George P{\'o}lya / interviewed by G. L. Alexanderson
\\
Mina Rees / interviewed by Rosamond Dana and Peter J.
Hilton \\
Constance Reid / interviewed by G. L. Alexanderson \\
Herbert Robbins / interviewed by Warren Page \\
Raymond Smullyan: autobiographical essay \\
Olga Taussky-Todd: autobiographical essay \\
Albert Tucker / interviewed by Stephen B. Maurer \\
Stanis{\l}aw M. Ulam / interviewed by Anthony
Barcellos",
}
@Book{Diebold:2010:KUU,
editor = "Francis X. Diebold and Neil A. Doherty and Richard
Herring",
booktitle = "The known, the unknown, and the unknowable in
financial risk management: measurement and theory
advancing practice",
title = "The known, the unknown, and the unknowable in
financial risk management: measurement and theory
advancing practice",
publisher = pub-PRINCETON,
address = pub-PRINCETON:adr,
pages = "viii + 380",
year = "2010",
ISBN = "0-691-12883-9 (hardcover)",
ISBN-13 = "978-0-691-12883-2 (hardcover)",
LCCN = "HD61 .K598 2010",
bibdate = "Tue Sep 11 09:53:57 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Financial risk management; Risk management",
tableofcontents = "Risk : a decision maker's perspective / Clive W.J.
Granger \\
Mild vs. wild randomness : focusing on those risks that
matter / Beno{\^\i}t B. Mandelbrot and Nassim Nicholas
Taleb \\
The term structure of risk, the role of known and
unknown risks, and nonstationary distributions /
Riccardo Colacito and Robert F. Engle \\
Crisis and noncrisis risk in financial markets : a
unified approach to risk management / Robert H.
Litzenberger and David M. Modest \\
What we know, don't know, and can't know about bank
risk : a view from the trenches / Andrew Kuritzkes and
Til Schuermann \\
Real estate through the ages : the known, the unknown,
and the unknowable / Ashok Bardhan and Robert H.
Edelstein \\
Reflections on decision-making under uncertainty / Paul
R. Kleindorfer \\
On the role of insurance brokers in resolving the
known, the unknown, and the unknowable / Neil A.
Doherty and Alexander Muermann \\
Insuring against catastrophes / Howard Kunreuther and
Mark V. Pauly \\
Managing increased capital markets intensity : the
chief financial officer's role in navigating the known,
the unknown, and the unknowable / Charles N. Bralver
and Daniel Borge \\
The role of corporate governance in coping with risk
and unknowns / Kenneth E. Scott \\
Domestic banking problems / Charles A.E. Goodhart \\
Crisis management : the known, the unknown, and the
unknowable / Donald L. Kohn \\
Investing in the unknown and unknowable / Richard J.
Zeckhauser",
}
@Book{Lesmoir-Gordon:2010:CIB,
editor = "Nigel Lesmoir-Gordon",
booktitle = "The colours of infinity: the beauty and power of
fractals",
title = "The colours of infinity: the beauty and power of
fractals",
publisher = pub-SV,
address = pub-SV:adr,
pages = "207",
year = "2010",
ISBN = "1-84996-485-8",
ISBN-13 = "978-1-84996-485-2",
LCCN = "QA614.86 .C65 2010",
bibdate = "Mon Sep 10 06:44:48 MDT 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
z3950.loc.gov:7090/Voyager",
note = "With contributions by Ian Stewart, Sir Arthur C.
Clarke, Beno{\^\i}t B. Mandelbrot, Michael and Louisa
Barnsley, Will Rood, Gary Flake, and David Pennock.",
URL = "http://extras.springer.com",
acknowledgement = ack-nhfb,
subject = "Fractals; Mandelbrot sets",
tableofcontents = "The Nature of Fractal Geometry / Ian Stewart \\
Exploring the Fractal Universe / Arthur C. Clarke \\
A Geometry Able to Include Mountains and Clouds /
Beno{\^\i}t Mandelbrot \\
Fractal Transformations / Michael Barnsley and Louisa
Barnsley \\
Fractal Limits: The Mandelbrot Set and the Self-Similar
Tilings of M. C. Escher / Will Rood \\
Self-organization, Self-regulation, and Self-similarity
on the Fractal Web / Gary William Flake and David M.
Pennock, Yahoo! Research Labs \\
Fractal Financial Fluctuations / Beno{\^\i}t Mandelbrot
\\
Filming The Colours of Infinity / Nigel Lesmoir-Gordon
\\
The Colours of Infinity--the Film Script / Arthur C.
Clarke",
}
@Book{Schleicher:2011:IMC,
editor = "Dierk Schleicher and Malte Lackmann",
booktitle = "An Invitation to Mathematics: From Competitions to
Research",
title = "An Invitation to Mathematics: From Competitions to
Research",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 220",
year = "2011",
ISBN = "3-642-19532-6 (soft cover), 3-642-19533-4 (e-book)",
ISBN-13 = "978-3-642-19532-7 (soft cover), 978-3-642-19533-4
(e-book)",
LCCN = "????",
bibdate = "Sat Mar 23 16:04:27 MDT 2013",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
tableofcontents = "Preface : what is mathematics? \\
Welcome! \\
Structure and randomness in the prime numbers / Terence
Tao \\
How to solve a Diophantine equation / Michael Stoll \\
From sex to quadratic forms / Simon Norton \\
Small divisors : number theory in dynamical systems /
Jean-Christophe Yoccoz \\
How do IMO problems compare with research problems?
Ramsey theory as a case study / W. Timothy Gowers \\
How do research problems compare with IMO problems? A
walk around games / Stanislav Smirnov \\
Graph theory over 45 years / L{\'a}szl{\'o} Lov{\'a}sz
\\
Communication complexity / Alexander A. Razborov \\
Ten digit problems / Lloyd N. Trefethen \\
The ever-elusive blowup in the mathematical description
of fluids / Robert M. Kerr and Marcel Oliver \\
About the Hardy inequality / Nader Masmoudi \\
The lion and the Christian, and other pursuit and
evasion games / B{\'e}la Bollob{\'a}s \\
Three mathematics competitions / G{\"u}nter M. Ziegler
\\
Complex dynamics, the Mandelbrot set, and Newton's
method: or, On useless and useful mathematics / Dierk
Schleicher",
}
@Book{Gulick:2012:ECF,
author = "Denny Gulick",
title = "Encounters with chaos and fractals",
publisher = pub-CRC,
address = pub-CRC:adr,
edition = "Second",
pages = "xvi + 371",
year = "2012",
ISBN = "1-58488-517-3 (hardcover)",
ISBN-13 = "978-1-58488-517-7 (hardcover)",
LCCN = "Q172.5.C45 G85 2012",
bibdate = "Wed Sep 10 09:56:54 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
https://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
z3950.loc.gov:7090/Voyager",
abstract = "The far-reaching interest in chaos and fractals are
outgrowths of the computer age. On the one hand, the
notion of chaos is related to dynamics, or behavior, of
physical systems. On the other hand, fractals are
related to geometry, and appear as delightful but
infinitely complex shapes on the line, in the plane or
in space. Encounters with Chaos and Fractals is
designed to give an introduction both to chaotic
dynamics and to fractal geometry. During the past fifty
years the topics of chaotic dynamics and fractal
geometry have become increasingly popular. Applications
have extended to disciplines as diverse an electric
circuits, weather prediction, orbits of satellites,
chemical reactions, analysis of cloud formations and
complicated coast lines, and the spread of disease. A
fundamental reason for this popularity is the power of
the computer, with its ability to produce complex
calculations, and to create fascinating graphics. The
computer has allowed scientists and mathematicians to
solve problems in chaotic dynamics that hitherto seemed
intractable, and to analyze scientific data that in
earlier times appeared to be either random or awed.
Fractals, on the other hand, are basically geometric,
but depend on many of the same mathematical properties
that chaotic dynamics do. Mathematics lies at the
foundation of chaotic dynamics and fractals. The very
concepts that describe chaotic behavior and fractal
graphs are mathematical in nature, whether they be
analytic, geometric, algebraic or probabilistic. Some
of these concepts are elementary, others are
sophisticated. There are many books that discuss chaos
and fractals in an expository manner, as there are
treatises on chaos theory and fractal geometry written
at the graduate level.",
acknowledgement = ack-nhfb,
subject = "Chaotic behavior in systems; Fractals; MATHEMATICS /
Differential Equations; MATHEMATICS / Geometry /
General; MATHEMATICS / Number Theory",
tableofcontents = "Periodic points \\
One-dimensional chaos \\
Two-dimensional chaos \\
Systems of differential equations \\
Introduction to fractals \\
Creating fractals sets \\
Complex fractals: Julia sets and the Mandelbrot set \\
Appendix: Computer programs \\
ITERATE \\
NUMBER OF ITERATES \\
PLOT \\
BIFURCATION \\
HENON \\
JULIA \\
MANDELBROT \\
ITERATED FUNCTION SYSTEM \\
FERN LEAF \\
CHAOS GAME",
}