Vita & publications
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1985 107 C11. M 1985n. Continuous interpolation of the complex discrete map: z λz(1–z), and related topics (On the dynamics of iterated maps, IX). Nobel Foundation Symposium 59 on the Physics of Chaos. Ed Nils R. Nilsson, Physica Scripta: T9, 59-63. 108 M, Yuval GEFEN, Amnon AHARONY, & Jacques PEYRIÈRE 1985. Fractals, their transfer matrices and their eigen-dimensional sequences. Journal of Physics: A18, 335-354. • Variant: Partial dimensional sequences and percolation (M, Yuval Gefen, Amnon Aharony & Aharon Kapitulnik). Journal of Statistical Physics: 36, 1984, 827-830. 109 Shaun LOVEJOY & M 1985. Fractal properties of rain, and a fractal model Tellus: A 37, 209-232. • Reprints: Books d and d2. 110 C6,7,8,9,10. M 1985g. On the Dynamics of Iterated Maps. Paper III: The Individual Molecules of the M-Set Self-Similarity Properties, the Emprical n2 Rule, and the n2 Conjecture. Paper IV: The Notion of “Normalized Radical” R of the M-Set, and the Fractal Dimension of the Boundary of R. Paper V: Conjecture That the Boundary of the M-Set has a Fractal Dimension Equal to 2. Paper VI: Conjecture that Certain Julia Sets Include Smooth Components. Paper VII: Domain-Filling (“Peano”) Sequences of Fractal Julia Sets, and an Intuitive Rationale for the Siegel Discs. Chaos, Fractals and Dynamics. Ed Pal Fischer & William Smith. New York NY: Marcel Dekker, 213-253. 111 M 1985. Topics on the midpoint displacement technique and its application to model reliefs and coastlines. • Reprint: Book b. 112 H21. M 1985l. Self-affine fractals and fractal dimension. Physica Scripta: 32, 257-260. “One of that journal’s 25 most cited publications, 1970-2009.” • Reprint: Dynamics of Fractal Surfaces. Ed Fereydoon Family & Tamas Vicsek.
• Reprint of Part I: Dynamics of Fractal Surfaces. Ed Fereydoon Family & Tamas Vicsek. Singapore: World Scientific, 1991, 21-36. 114 M 1986. Fractal measures (their infinite moment sequences and dimensions) and multiplicative chaos: early works and open problems. Dimensions and Entropies in Dynamical Systems Pecos River NM, 1985. Ed Gottfried Mayer-Kress, New York NY: Springer, 19-27. • Letter to the Editor: Multifractals and fractals. Physics Today: Sep 1986, 11-12. • Multifractal measures: Book g, 84-91.
• Abstract: The epistemology of chance in certain newer sciences. Abstracts of the Int’l Congress on Logic, Methodology and the Philosophy of Science. Jerusalem, 1964. Ed Yehoshua Bar-Hillel, Amsterdam, NL: North-Holland, 1966, 57. 1988 116 C20. Martin C. GUTZWILLER & M 1988. Invariant multifractal measures in chaotic hamiltonian systems, and related structures. Physical Review Letters: 60, 673-676. 117 H20. M 1988p. Fractal landscapes without creases and with rivers. The Science of Fractal Images. Ed Heinz-Otto Peitgen & Dietmar Saupe, New York NY: Springer, 243-260. 118 M 1988c. An introduction to multifractal distribution functions. Fluctuations and Pattern Formation. Cargèse, 1988. Ed H. Eugene Stanley & Nicole Ostrowsky, Dordrecht-Boston: Kluwer, 345-360. • Shorter version: The principles of multifractal measures. The Fractal Approach to Heterogeneous Chemistry. Ed David Avnir, New York NY: Wiley, 1989, 45-51. • Revised version: Multifractal measures for the geophysicist: Book h.
• Short version: Fractal large scale structures and crossover to homogeneity. The Structure of the Universe (Balatonfüred, HU, 1987). Ed Jean Audouze, Marie-Christine Pelletan, & Alex Szalay. Dordrecht-Boston: Kluwer, 1988, 482-484. • Very short version: Galaxy distribution and fractals. Observational Cosmology: from Galaxies to Galaxy Systems (Sesto, 1995). Ed Fabio Mardirossian. Astrophysical Letters and Communications: 36, 1996, 1-5. 120 M 1989p. Temperature fluctuations: a well-defined and unavoidable notion. Physics Today, 71-73. 121 M & Tamas VICSEK 1989. Directed recursion models for fractal growth. Journal of Physics: A22, L377-L383. 122 M. M 1989g. Multifractal measures, especially for the geophysicist. Pure and Applied Geophysics: 131, 5-42. Also Book i. • Brief excerpt: Annual Reviews of Materials Sciences: 19, 1989, 514-516. 123 M. M 1989e. A class of multifractal measures with negative (latent) values for the “dimension” f(α). Fractals’ Physical Origin and Properties. Erice, 1988. Ed Luciano Pietronero, New York NY: Plenum, 3-29. • Short version: Negative fractal dimensions and multifractals. Statistical Physics 17,
• Updated short version: Two meanings of multifractality, and the notion of negative fractal dimension. Chaos/Xaoc: Soviet-American Perspectives on Nonlinear Science (Woods Hole, 1989). Ed David K. Campbell. New York NY: American Institute of Physics, 1990, 79-90. 1990 124 M. M 1990t. Limit lognormal multifractal measures. Frontiers of Physics: Landau Memorial Conf. (Tel Aviv, 1988). Ed E. A. Gotsman et al. New York: Pergamon, 309-340. 125 M. M 1990d. New “anomalous” multiplicative multifractals: left-sided f(α) and the modeling of DLA. Condensed Matter Physics, in Honor of Cyril Domb. Bar Ilan, 1990. Physica: A168, 95-111. 126 M. M, Carl J. G. EVERTSZ, & Yoshinari HAYAKAWA 1990. Exactly self-similar left-sided multifractal measures. Physical Review: A42, 1990, 4528-4536. • Reprint combining 126 and 127: M & Carl J. G. EVERTSZ. Fractals and Disordered Systems. Ed Armin Bunde & Shlomo Havlin. New York: Springer, 323-346. 127 M & Carl J. G. EVERTSZ 1990. The potential distribution around growing fractal clusters, Nature: 378 (6296), front cover & pp. 143-145. 1991 128 Carl J. G. EVERTSZ, Peter W. JONES, & M 1991. Behavior of the harmonic measure at the bottom of fjords. Journal of Physics: A24, 1880-1901. 129 Carl J. G. EVERTSZ & M 1991n. Steady-state noises in diffusion-limited fractal growth. Europhysics Letters: 15, 245-250. 130 M. M 1991k. Random multifractals: negative dimensions and the resulting limitations of the thermodynamic formalism. Proc. of the Royal Society. London: A434, 79-88. • Also in Turbulence and Stochastic Processes: Kolmogorov’s ideas 50 years on. Ed Julian C. R. Hunt, O. M. Phillips, & D. Williams, London, UK: The Royal Society. 131 Carl J. G. EVERTSZ, M, & François NORMANT 1991f. Fractal aggregates, and the current lines of their electrostatic potential. In Honor of Michael E. Fisher. Washington, 1991. Ed Eytan Domany & David Jasnow. Physica: A177, 589-592. 132 M & C22. M & Carl J. G. EVERTSZ 1991. Multifractality of the harmonic measure on fractal aggregates, and extended self-similarity. In Honor of Michael E. Fisher. Washington, 1991. Ed Eytan Domany & David Jasnow, Physica: A177, 386-393. • Reprint: Fractales y caos. Valencia, 1992. Ed P. Martinez.
• Reprint: Fractales y caos. Valencia, 1992. Ed P. Martinez. 134 Carl J. G. EVERTSZ & M 1992b. Self-similarity of the harmonic measure on DLA. Complex Systems: fractals, etc. Trieste, 1991. Ed Giorgio Parisi, Luciano Pietronero, & Miguel Virasoro. Physica: A185, 77-86. 135 Carl J. G. EVERTSZ, M, & Lionel WOOG 1992. Variability of the form and of the harmonic measure for small off-off-lattice diffusion-limited aggregates. Physical Review: A45, 5798-5804 & 8985-8986. 136 M. Carl J. G. EVERTSZ & M 1992a. Multifractal measures. Chaos and Fractals: New Frontiers in Science, by Heinz-Otto Peitgen, Hartmut Jürgens & Dietmar Saupe. New York NY: Springer, 849-81. • Reprint: Fractales y caos. Valencia, 1992. Ed P. Martinez. 137 M. M 1992h. Plane DLA is not self-similar; is it a fractal that becomes increasingly compact as it grows? Fractals and Disordered Systems. Hamburg, 1992. Ed Armin Bunde. Physica: A191, 95-107. 1993 138 M. C21. M 1993s. The Minkowski measure and multifractal anomalies in invariant measures of parabolic dynamic systems. Chaos in Australia. Sydney, 1990. Ed Gavin Brown & Alex Opie. Singapore: World Publishing, 83-94. • Slightly edited reprint: Fractals and Disordered Systems. Second edition.
1994 141 Iddo YEKUTIELI, M, & Henry KAUFMAN 1994. Self-similarity of the branching structure in very large DLA clusters and other branching fractals. Journal of Physics: A27, 275-284. 142 Iddo YEKUTIELI & M 1994. Horton-Strahler ordering of random binary trees. Journal of Physics: A27, 285-293. 143 M, Drogana POPOVIC & al 1994. Spectra of reproducible conductance fluctuations in the resonant tunneling regime. Bulletin of the Am Physic Soci. Abstracts of the March Meeting: 39, 792. 144 M & Dietrich STAUFFER 1994. Antipodal correlations and texture (fractal lacunarity) in critical percolation clusters. Journal of Physics: A27, L237-L242. 1995 See also book(s) listed early in this document. 145 Chi-Hang LAM, Henry KAUFMAN & M 1994. Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA). Journal of Physics: A28, 1995, L213-L217. • Abstract: Bulletin of the American Physical Society. Abstracts of the March Meeting: 39, 138. 146 M, Henry KAUFMAN, Alessandro VESPIGNANI, Iddo YEKUTIELI & Chi-Hang LAM 1995. Deviations from self-similarity in plane DLA and the "infinite drift" scenario. Europhysics Letters: 29, 599-604. 147 M 1995. Measures of fractal lacunarity: Minkowski content and alternatives. Fractal Geometry and Stochastics. Finsterbergen, 1994. Ed Christopher Bandt, Siegfried Graf, & Martina Zähle. Basel, CH & Boston MA: Birkhäuser, 1995, 12-38. • Fractal lacunarity and other tools for the characterization of complex shape. Notes in Japanese of a lecture based on the preceding item. Journal of Research Institute for Science and Technology, Chubu University: 7, 1995, 141-156. 148 M 1995h. Introduction to fractal sums of pulses. Lévy Flights and Related Phenomena in Physics. Nice, 1994. Ed Michael F. Shlesinger, George Zaslawsky, & Uriel Frisch. (Lecture Notes in Physics: 450.) New York NY: Springer, 110-123. • Updated version. Fractal sums of pulses and a practical challenge to the distinction between local and global dependence. Long Range Dependent Stochastic Processes: Theory and Applications. Bangalore, 2002. Ed Govindan Rangarajan & Ming Ding. (Lecture Notes in Physics: 621.) New York NY: Springer, 2003, 118–135. 149 M 1995b. The statistics of natural resources and the law of Pareto. Fractals in Petroleum Geology and Earth Processes. Ed Christopher C. Barton & Paul La Pointe. New York NY: Plenum, 1-12. 150 M. M 1995k. Negative dimensions and Hölder, multifractals and their Hölder spectra, and the role of lateral preasymptotics in science. J. P. Kahane meeting (Paris, 1993). Ed Aline Bonami & Jacques Peyrière. The Journal of Fourier Analysis and Applications: special issue, 409-432. 151 M, Alessandro VESPIGNANI & Henry KAUFMAN 1995a. Crosscut analysis of large radial DLA: departures from self-similarity and lacunarity effects. Europhysics Letters: 32, 1995, 199-204. 152 Renata CIOCZEK-GEORGES, M, Gennady SAMORODNITSKY, & Murad S. TAQQU 1995. Stable fractal sums of pulses: the cylindrical case. Bernoulli: 1, 201-216. • Unpublished generalization: Renata CIOCZEK-GEORGES & M. Stable Fractal Sums of Pulses: the General Case, Apr 27 1995. 153 Renata CIOCZEK-GEORGES & M 1995. A class of micropulses and antipersistent fractional Brownian motion. Stochastic Processes and their Applications: 60, 1-18. 154 M. M & Rudolf H. RIEDI 1995. Multifractal formalism for infinite multinomial measures. Advances in Applied Mathematics: 16, 132-150. • Outline: Fractals and Disordered Systems. Second edition. Ed Armin Bunde & Shlomo Havlin. New York: Springer, 1995, 344-345. 155 M, Alessandro VESPIGNANI, & Henry KAUFMAN 1995b. The geometry of DLA: different aspects of the departure from self-similarity. Fractal Aspects of Materials (Boston, 1994). Ed Fereydoon Family, Paul Meakin, Bernard Sapoval, & Richard Wool. Pittsburgh, PA: Materials Research Society, 73-79. • The Laplace equation and diffusion-limited aggregates. Abstracts of the American Mathematical Society. Annual Meeting, San Diego CA, January 1997. 1996 156 Henry KAUFMAN, Alessandro VESPIGNANI, M, & Lionel WOOG 1995. Parallel diffusion-limited aggregation. Physical Review: E 52, 5602-5609. 157 Juha-Pekka HOVI, Amnon AHARONY, Dietrich STAUFFER, & M 1996. Gap independence and lacunarity in percolation clusters. Physical Review Letters: 77, 877-890. 158 M. Stéphane JAFFARD & M 1995. Local regularity of nonsmooth wavelet expansions and application to the Polya function. Advances in Mathematics: 120, 265-282. 159 Renata CIOCZEK-GEORGES & M 1996. Alternative micropulses and fractional Brownian motion. Stochastic Processes and their Applications: 64, 143-152. 1997 160 M. M & Rudolf H. RIEDI 1997. Inverse measures, the inversion formula, and discontinuous multifractals. Advances in Applied Mathematics: 18, 50-58. 161 M. Rudolf H. RIEDI & M 1997. Inversion formula for continuous multifractals. Advances in Applied Mathematics: 9, 332-354. 162 Raphael BLUMENFELD & M 1997. Lévy dusts, Mittag-Leffler statistics, mass fractal lacunarity and perceived dimension. Physical Review: E 56, 112-118. 163 M. M & Stéphane JAFFARD 1997. Peano-Pólya motions, when time is intrinsic or binomial (uniform or multifractal). The Mathematical Intelligencer: 19(4) 21-26. 164 M. & P. M, Laurent CALVET, & Adlai FISHER 1997. The multifractal model of asset returns. Cowles Foundation Discussion Papers: 1164. 165 M. & P. Laurent CALVET, Adlai FISHER, & M 1997. Large deviations and the distribution of price changes. Cowles Foundation Discussion Papers: 1165. 166 M. & P. Adlai FISHER, Laurent CALVET, & M 1997. Multifractality of deutschmark/US dollar exchange rates. Cowles Foundation Discussion Papers: 1166. 1998 167 M. Rudolf H. RIEDI & M 1998. Exceptions to the multifractal formalism for discontinuous measures. Mathematical Proc. of the Cambridge Philosophical Society: 123, 133-157. 168 M 1998e. Fractality, lacunarity and the near-isotropic distribution of galaxies. Current Topics in Astrofundamental Physics (Erice, 1997) Ed Norma G. Sanchez & Antonio Zichichi. Dordrecht: Kluwer, 585-603. • Enlarged version: Fractal lacunarity and scenarios for the near-isotropic distribution of galaxies. Fundamental Problems in...Cosmology (Paris, 1998). Ed Hector de Vega, & Norma G. Sanchez Paris: Observatoire de Paris, 1999, 213-238. • Also in Current Topics in Astrofundamental Physics: The Cosmic Microwave Background (Erice). Ed Norma G. Sanchez. Dordrecht: Kluwer, 2001, 365-390. 1999 169 P. M 1999p. Renormalization and fixed points in finance, since 1962. Statistical Physics 20, Int’l IUPAP Conf. (Paris, 1998). Ed D. Iagolnitzer. Physica: A263, 1999, 477-487. 170 M. & R. Marc-Olivier COPPENS & M 1999. Easy and natural generation of multifractals: multiplying harmonics of periodic functions. Fractals in Engineering (Delft, 1999). Ed Jacques Lévy-Véhel, Evelyne Lutton, & Claude Tricot. New York: Springer, 113-122. 171 M & Michael FRAME 1999. The canopy and shortest path in a self-contacting fractal tree. The Mathematical Intelligencer: 21 (2), 1999, 18-27. 2001 172 M & P. M 2001a. Scaling in financial prices, I: Tails and dependence. Quantitative Finance: 1, 113-123. 173 M & P. M 2001b. Scaling in financial prices, II: Multifractals and the star equation. Quantitative Finance: 1, 124-130. 174 K, M & P. M 2001c. Scaling in financial prices, III: Cartoon Brownian motions in multifractal time. Quantitative Finance: 1, 427-440. 175 K, M & P. M 2001d. Scaling in financial prices, IV: Multifractal concentration. Quantitative Finance: 1, 641-649. 176 M & P. M 2001e. Stochastic volatility, power-laws and long memory. Quantitative Finance: 1, 558-559. 2002 See also two books on page 9. 177 M, Boaz KOL & Amnon AHARONY 2002. Angular gaps in radial diffusion-limited aggregation: fractal dimensions and nontransient deviations from linear self-similiarity. Physical Review Letters: 88, 055501-1-4. 178 M. Julien BARRAL & M 2002. Multifractal products of cylindrical pulses. Probability Theory and Related Fields: 124, 409-430. 2003 179 M. M 2003f. Multifractal power law distributions: negative and critical dimensions and other “anomalies,” explained by a simple example. Journal of Statistical Physics: 110, 739-777. 180 P. M 2003r. Heavy tails in finance for independent or multifractal price increments. Handbook on Heavy Tailed Distributions in Finance. Ed Svetlozar T. Rachev (Handbooks in Finance: 30, Senior Editor: William T. Ziemba): 1, 1-34. 181 J. ASIKAINEN, Amnon AHARONY, M, Erik RAUSCH, & Juha-Pekka HOVI 2003. Fractal geometry of critical Potts clusters. European Physical Journal: B34 (4), 479-487. 182 K & M. Julien BARRAL, Marc-Olivier COPPENS, & M 2003. Multiperiodic multifractal martingale measures. Journal des mathématiques pures et appliquées: 82, 1555-1589. 2004 See also book(s) listed early in this document. 183 M. Julien BARRAL & M 2004a. Introduction to multifractal products of independent random functions: Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot. Ed Michel L. Lapidus & Machiel van Frankenhuijsen (Proc. of Symposia on Pure Mathematics: 72, Part 2: Multifractals, Probability and Statistical Mechanics, Applications.) Providence RI: American Mathematical Society, 3-16. 184 M. Julien BARRAL & M 2005b. Non-degeneracy, moments, dimensions, and multifractal analysis for random multifractation measures. Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot. Ed Michel L. Lapidus & Machiel van Frankenhuijsen (Proc. of Symposia on Pure Mathematics: 72, Part 2: Multifractals, Probability and Statistical Mechanics, Applications.) Providence RI: American Mathematical Society, 17-52. See also [ Jubilee of Benoit Mandelbrot: Part 3 ] 2005 185 M2005a. Parallel cartoons of fractal models in finance. Annals of Finance: 1, 179-192. 186 M2005b.The inescapable need for fractal tools in finance. Annals of Finance: 1, 193-195. 187 M & Nassim Nicholas TALEB 2005. How the finance gurus get risk all wrong. Fortune: July 11, 99-100. • Variant in Italian: Mandelbrot in Borsa: E□ora de investire nei frattali. Il Sole – 24 Ore: 9 Ottobre 2005, 35. 2006 188 M & Nassim Nicholas TALEB 2006. Wild uncertainty: A focus on the exceptions that prove the rule. “Mastering Uncertainty” Supplement. Financial Times, London, UK, daily, 24 Mar 2006, 2-3. [Part 1, Part 2]; reprinted Jan 29, 2009 • Brazilian Translation. Foco nas exceções que comprovam a regna.
• Greek Translation by Dimitrios D. Thomakos. Οι εξαιρέσειs που επιβεβαιώνουν τον κανόνα. Ta Nea (The News), Athens, GR daily, 8 Jan 2007, part of a special magazine issue on finance. • Expanded and revised: Mild vs. wild randomness: focusing on those risks that matter. The Known, the Unknown and the Unknowable in Financial Institutions. Eds. Frank Diebold, Neil Doherty, Richard J. Herring. Princeton NJ: The University Press. 189 M 2006.Fractal analysis and synthesis of fracture surface roughness and related forms of complexity and disorder. Int’l Journal of Fracture: 138, 13-17 • Reprint: Advances in Fracture Research. Ed. Alberto Carpinteri et al. New York NY: Springer, 13-17. Yüklə 0,93 Mb. Dostları ilə paylaş:
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