Vita & publications
34 M 1964t. On the derivation of statistical thermodynamics from purely phenomenological principles. Journal of Mathematical Physics: 5
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1964 34 M 1964t. On the derivation of statistical thermodynamics from purely phenomenological principles. Journal of Mathematical Physics: 5, 164-171. • Reprint: Thermodynamics, a Unifying Science. Ed George N. Hatsopoulos & Joseph H. Keenan. Cambridge MA: MIT Department of Mechanical Engineering, 1964. • Summary: Discussion of a paper by Prof. R. E. Collins. Symposium on Critical Review of Thermodynamics (Pittsburgh PA). Ed Edward B. Stuart, Benjamin Gal-Or & Alan J. Brainard. Baltimore MD: Mono Book Corp., 1970, 32-34. 35 George L. GERSTEIN & M 1964. Random walk models for the spike activity of a single neuron. The Biophysical Journal: 4, 41-68. 36 E8. M 1964o. Random walks, fire damage amount, and other Paretian risk phenomena. Operations Research: 12, 582-585. 1965 37 N7. M 1965c. Self-similar error clusters in communications systems and the concept of conditional stationarity. IEEE Transactions on Communications Technology: COM-13, 71-90. 38 AS FEP. H9. M 1965h. Une classe de processus stochastiques homothétiques à soi: Application à la loi climatologique de H. E. Hurst. Comptes Rendus. Paris, FR: 260, 3274-3277. 39 M 1965s. Leo Szilard and unique decipherability. IEEE Transactions on Information Theory: IT-11, 455-456. 40 AS. M 1965. Ensembles de multiplicité aléatoires (Jean-Pierre Kahane & M). Comptes Rendus. Paris, FR: 262, 3931-3933. • N11. English translation. 41 M 1965m. Very long-tailed probability distributions and the empirical distribution of city sizes. Mathematical Explorations in Behavioral Science. Cambria Pines CA, 1964. Ed Fred Massarik & Philburn Ratoosh. Homewood, Ill.: R. D. Irwin, 322-332. • Expanded version: Mathematics and Social Sciences (Menthon-Saint-Bernard, 1960 and Gösing, 1962). The Hague, NL: Mouton 1965, 257-278. 42 M 1965z. Information theory and psycholinguistics. Scientific Psychology: Principles and Approaches. Ed Benjamin B. Wolman & Ernst Nagel. New York NY: Basic Books, 550-562. • Reprint with new appendices: Information theory and psycholinguistics: a theory of word frequencies. Readings in Mathematical Social Science. Ed Paul Lazarfeld and Neil Henry. Chicago IL: Science Research Associates, 1966 (hard cover); Cambridge MA, MIT Press, 1968 (paperback), 350-368. • Reprint: Information theory and psycholinguistics. Language, selected readings. Ed R. C. Oldfield & J. C. Marshall. London, UK: Penguin Books, 1968, 263-275. • Russian translation: Teoria informatsii i psikholingvistika: Teoria çastov slov. Matematiskie metody v sotsial’nykh naukakh. Moskva 1973. • F. FE4. French translation: Aléas du discours. 1966 43 M 1966b. Forecasts of future prices, unbiased markets and “martingale” models. The Journal of Business of the University of Chicago: 39, 242-255. • Reprint: Forecasting Financial Markets. Ed Terence C. Mills. The Int’l Library of Critical Writings in Economics. Series Editor: Mark Blaug, Cheltenham, UK: Edward Elgar, 2002. 44 M 1966r. Nouveaux modèles de la variation des prix (cycles lents et changements instantanés). Cahiers du Séminaire d’Econométrie: 9, 53-66. • Abstract: Stochastic models of the variation of prices. Working Conf. on Stochastic Processes. Santa Barbara CA, 1967. Ed Mark Kac & Gordon McDonald. 1967 45 N10. M 1967b. Sporadic random functions and conditional spectral analysis; self-similar examples and limits. Proc. of the Fifth (1965) Berkeley Symposium on Mathematical Statistics and Probability. Ed Lucien LeCam & Jerzy Neyman. Berkeley CA: University of California Press, 3, 155-179. 46 N9. M 1967i. Some noises with 1/f spectrum, a bridge between direct current and white noise. IEEE Transactions on Information Theory: IT-13, 289-298. • Abstract: Electro-magnetic turbulence in communication systems. Proc. of the Int’l Conf. on Microwaves, Circuit Theory and Information Theory (Tokyo, 1964). Ed K. Morita. 1964, 3, 43-53. • Abstract: Time varying channels, 1/f noises and the infrared catastrophe. Or: Why does the low frequency energy sometimes seem infinite. Convention Record of the First IEEE Communications Convention, 1965. • Abstract: Sporadic processes and their application to noise theory. Working Conf. on Stochastic Processes (Santa Barbara CA), 1967. Ed Mark Kac & Gordon McDonald. 47 K. M 1967s. How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science: 156, 636-638. • Italian reprint: with a preface by Giuseppe Gembillo, “La struttura della Natura e la sua ‘misura’”. Followed by a translation by Giusy Inferrera. Messina (Sicilia, IT): Armando Siciliano Editore, 2007. 48 P. E15. M 1967j. The variation of some other speculative prices. The Journal of Business of the University of Chicago: 40, 393-413. • Reprint: Classic Futures: Lessons from the Past for the Electronic Age. Ed Lester Telser. London, UK: Risk Books. 2000, 685-708. 49 N12. M 1967k. Sporadic turbulence. Proc. of the Int’l Symposium on Boundary Layers and Turbulence including Geophysical Applications. Supplement to The Physics of Fluids: 10, S302-3. • Announcement: Uniformly self-similar sporadic turbulence. Notes on the Summer Study Program in Geophysical Fluid Mechanics (Woods Hole Oceanographic Institution), 1965, 118-121. 50 E21. M & Howard M. TAYLOR 1967. On the distribution of stock price differences. Operations Research: 15, 1057-1062. • Variant: Some aspects of the random-walk model of stock market prices: Comment. Int’l Economic Review: 9, 1968, 258-259. 1968 51 H10. M & James R. WALLIS 1968. Noah, Joseph and operational hydrology. Water Resources Research: 4, 909-918. • Illustrated variant: Self-similar synthetic hydrology (James R. Wallis & M). Symposium on the Use of Analog and Digital Computers in Hydrology (Tucson AZ, 1968). Publication 81 of the Int’l Association of Scientific Hydrology: 2, 1968, 738-755. • Elaboration: Reply to Professor Quimpo (M & James R. Wallis). Discussion of the 1968 Tucson Symposium, Bulletin of the Int’l Association of Scientific Hydrology: 14, 1969, 58-60. • Abstract: Self-similar synthetic hydrology (M & James R. Wallis). Summaries of Contributed Papers, European Meetings of IMS, TIMS, ES and IASPS, Amsterdam, NL: Mathematical Center, 1968.
• Elaboration in reply to a published comment: Comment on “Stochastic models in hydrology” by A.E. Scheidegger. Water Resources Research: 6, 1970, 1791. • Elaboration in reply to an oral comment: Note on the definition and the stationarity of fractional Gaussian noise. Journal of Hydrology: 30, 1976, 407-409.
• Critique of a would-be improvement: On an eigenfunction expansion and on fractional Brownian motions. Lettere al Nuovo Cimento: 33, 1982, 549-550. • Photographic reprint: Financial Econometrics. Three volumes edited by Andrew Lo.
• The geometry of turbulence. Conf. on Prospects for Theoretical Turbulence Research, N. C. A. R., Boulder CO., June 14-20, 1974, 9-12. 54 M 1969e. Long-run linearity, locally Gaussian processes, H-spectra and infinite variances. Int’l Economic Review: 10, 82-111. [H30] • Abstract: Intermittency and periodicity, and the problem of long cycles. Econometrica: 34, 1966 (Supplement) 152-153. 55 H12,13,14. M & James R. WALLIS 1969. Computer experiments with fractional Gaussian noises. Water Resources Research: 5, 228-267. [Part I Part II Part III] 56 H27. M & James R. WALLIS 1969. Some long-run properties of geophysical records. Water Resources Research: 5, 321-340. • Edited reprint: Fractal Geometry and its Use in the Earth Sciences. Ed Christopher C. Barton & Paul R. LaPointe. New York NY: Plenum, 1994, pp. 41-64. 57 K. H25. M & James R. WALLIS 1969. Robustness of the rescaled range R/S in the measurement of noncyclic long-run statistical dependence. Water Resources Research: 5, 967-988. 1970 58 H28. M & Keith MCCAMY 1970. On the secular pole motion and the Chandler wobble. The Geophysical Journal, 21: 217-232. • Abstract: On the secular pole motion and the Chandler wobble (M & Keith McCamy). Eos, Transactions of the American Geophysical Union: 57, 1970, 266. 59 P. M 1970e. Statistical dependence in prices and interest rates. Papers of the Second World Congress of the Econometric Society, Cambridge, UK. • Summary: Analysis of long-run dependence in time series: the R/S technique. Fiftieth Annual Report of the National Bureau of Economic Research, 1970, 107-108. • Abstract progress report: Long-run interdependence in price records and other economic time series. Econometrica: 38, 1970, 122-123. • Reprint of Part I: Statistical dependence in prices and interest rates.
• Revised Part II: Analysis of non-periodic long-run dependence using the robust statistic R/S. Proc. of the 1971 Princeton Conf. on Information Sciences and Systems, 155-159. • Analysis of long-run dependence in economics: the R/S technique. Econometrica: 39, 1971 (July Supplement), 68-69. 1971 60 H15. M 1971f. A fast fractional Gaussian noise generator. Water Resources Research: 7, 543-553. 61 E20. M 1971e. When can price be arbitraged efficiently? A limit to the validity of the random-walk and martingale models. Review of Economics and Statistics: 53, 225-236. 1972 62 M 1972z. Renewal sets and random cutouts. Zeitschrift für Wahrscheinlichkeitstheorie: 22, 145-157. 63 M 1972d. On Dvoretzky coverings for the circle. Zeitschrift für Wahrscheinlichkeitstheorie: 22, 158-160.
65 M 1972c. Statistical methodology for non-periodic cycles: from the covariance to R/S analysis. Annals of Economic and Social Measurement: 1, 257-288. • Excerpts from M 1972c • Advance summary: Comment on “Application of linear random models to four annual streamflow series” by Carlson, MacCormick, & Watts. Water Resources Research: 7, 1971, 1360-1362. 66 H16. M 1972w. Broken line process derived as an approximation to fractional noise. Water Resources Research: 8, 1354-1356. 1973 67 H29. Frederick J. DAMERAU & M 1973. Tests of the degree of word clustering in samples of written English. Linguistics: 102, 58-75. 68 P. M 1973c. Comments on “A subordinated stochastic process model with finite variance for speculative prices.” by Peter K. Clark. Econometrica: 41, 157-160. 69 M 1973f. Formes nouvelles du hasard dans les sciences. Économie Appliquée: 26, 307-319. • Expanded version: Du hasard bénin au hasard sauvage. Le hasard (Dossier Pour la Science) Paris, FR: Belin, 1996, 12-17. 1974 70 K. N15. M 1974f. Intermittent turbulence in self-similar cascades; divergence of high moments and dimension of the carrier. Journal of Fluid Mechanics: 62, 331-358. • Excerpt: The Wolf Prizes for Physics. Singapore, SG: World Scientific, in progress. 71 AS & SR. M 1974c. Multiplications aléatoires itérées et distributions invariantes par moyenne pondérée aléatoire, I & II. Comptes Rendus. Paris, FR: 278A, 289-292 & 355-358. • N16. [ English Translations ] 72 N8. M 1974d. A population birth and mutation process, I: Explicit distributions for the number of mutants in an old culture of bacteria. Journal of Applied Probability: 11, 437-444. • Complement: A population birth and mutation process, II: Explanations, figures and numerical illustrations. Privately distributed memorandum. 1975 See also book(s) listed early in this document. 73 H26. M 1975z. Limit theorems on the self-normalized range for weakly and strongly dependent processes. Zeitschrift für Wahrscheinlichkeitstheorie: 31, 271-285. 74 AS. M 1975b. Fonctions aléatoires pluri-temporelles: approximation poissonienne du cas brownien et généralisations. Comptes Rendus. Paris, FR: 280A, 1075-1078. • H17. English translation. 75 K. H18. M 1975f. On the geometry of homogeneous turbulence, with stress on the fractal dimension of the isosurfaces of scalars. Journal of Fluid Mechanics: 72, 401-416. 76 K. H19. M 1975w. Stochastic models for the Earth's relief, the shape and the fractal dimension of the coastlines, and the number-area rule for islands. Proc. of the National Academy of Sciences (USA): 72, 3825-3828. 77 AS M 1975u. Sur un modèle décomposable d'Univers hiérarchisé: déduction des corrélations galactiques sur la sphère céleste. Comptes Rendus. Paris, FR: 280A, 1551-1554. 78 FE 2.2. M 1975m. Hasards et tourbillons (quatre contes à clef). Annales des Mines: 61-66. 1976 79 AS. M 1976c. Géométrie fractale de la turbulence. Dimension de Hausdorff, dispersion et nature des singularités du mouvement des fluides. Comptes Rendus. Paris, FR: 282A, 119-120. • H19. English translation. 80 M N18. M 1976o. Intermittent turbulence and fractal dimension: kurtosis and the spectral exponent 5/3+B. Turbulence and Navier Stokes Equations (Orsay, 1975). Ed Roger Temam (Lecture Notes in Mathematics 565). New York NY: Springer, 121-145. • Brief variant: Comment on coherent structures: Proc. of the IUTAM Symposium on Turbulence and Chaotic Phenomena in Fluids. Ed Tomomasa Tatsumi, Amsterdam, NL: North-Holland, 1984, 207-208. 1977 See also book(s) listed early in this document. 81 M. 1977b. Fractals and turbulence: attractors and dispersion. Seminar on Turbulence, Berkeley 1976. Organized by Alexandre Chorin, Jerald Marsden & Stephen Smale. Ed P. Bernard & T. Ratiu (Lecture Notes in Mathematics 615). New York NY: Springer, 83-93. • Russian translation: Strannye Atraktory (=Strange Attractors). Collection of reprints,
• Elaboration of some points: Fractals, attractors, and the fractal dimension. Bifurcation Theory and Applications in Scientific Disciplines. New York, 1977. Ed Okan Gürel & Otto Rössler. Annals of the New York Academy of Sciences: 316, 1979, 463-464. 1978
83 M M 1978h. Geometric facets of statistical physics: scaling and fractals. Statistical Physics 13, Int’l IUPAP Conf. (Haifa, 1977). Ed D. Cabib, C.G. Kuper & I. Riess. Annals of the Israel Physical Society. Bristol, UK: Adam Hilger. 2 (1), 225-233. 84 M 1978r. Les objets fractals. La Recherche: 9, 85, 1-13. • Excerpt: Les facettes fractales de l'anatomie. La morphogenèse, de la biologie aux mathématiques. Textes réunis par Yves Bouligand. Paris, FR: Doin-Maloine, 1980, 83-89. • Frontispiece with caption: Impact of Science on Technology (UNESCO): 29, July 1979.
• Abstract: Ising models on fractal lattice (Yuval GEFEN, M, & Amnon AHARONY). Proc. of the XIVth Int’l Conf. on Thermodynamics and Statistical Mechanics (Statphys 14), August 1980, Edmonton, Alberta, CA. • Variant: Critical phenomena and fractals with dimensionality near 1 (Yuval GEFEN, M, & Amnon AHARONY). Physics in One Dimension. Ed J. Bernasconi & T. Schneider, New York NY: Springer, 1980. 89 K. C3. M 1980n. Fractal aspects of the iteration of z λ z (1−z) for complex λ and z. Non-Linear Dynamics (New York, 1979). Ed Robert H. G. Helleman. Annals of the New York Academy of Sciences: 357, 249-259. • Abstract: Non-linear random dynamics and fractal attractors. Proc. of the XIVth Int’l Conf. on Thermodynamics and Statistical Mechanics (Statphys 14), August 1980, Edmonton, Alberta, CA. • Letter to the Editor. Scientific American: July 1982, 8. • Excerpt: A fractal attractor, and why it may matter. Physics as Natural Philosophy:
• Excerpt: The Wolf Prizes for Physics. Singapore, SG: World Scientific, in progress. 1981 90 M 1981s. Scalebound or scaling shapes: A useful distinction in the visual arts and in the natural sciences. Leonardo: 14, 1981, 45-47. 91 Yuval GEFEN, Amnon AHARONY, M, & Scott KIRKPATRICK 1981. Solvable fractal family, and its possible relation to the backbone at percolation, Physical Review Letters: 47, 1771-1774. • Early version: Percolation, critical phenomena and fractals (Yuval Gefen, Amnon Aharony, M, & Scott Kirkpatrick). Disordered Systems and Localization. Roma, 1981, Lecture Notes in Physics 149). Ed C. Castellani, C. DiCastro & L. Peliti. New York NY: Springer, 1981, 56-58. 1982 See also book(s) listed early in this document. 92 M 1982f. Comments on computer rendering of fractal stochastic models. Communications of the Association for Computing Machinery: 25, cover and pp. 581-584. • Reprint: Book d. 1983 93 C18. M 1983i. Self-inverse fractals osculated by sigma-discs, and the limit sets of inversion groups. Mathematical Intelligencer: 5 (2), Front and back covers and pp. 9-17. • Excerpt: Self-inverse fractals and Kleinian groups. Mathematics Calendar for 1981, New York NY: Springer, 1980. 94 Yuval GEFEN, Yigal MEIR, M, & Amnon AHARONY 1983. Geometric implementation of hypercubic lattices with noninteger dimensionality, using low lacunarity fractal lattices. Physical Review Letters: 50, 145-148. • Reprint: The Wolf Prizes for Physics. Singapore, SG: World Scientific, in progress. 95 James A. GIVEN & M 1983. Diffusion on fractal lattices and the fractal Einstein relation. Journal of Physics: A16, L565-569. • Elaboration: Comment on transport processes on fractal structures Journal of Physics: A17, 1984, 1937-1939. 96 C5. M 1983p. On the quadratic mapping z z2 – µ for complex µ and z: the fractal structure of its M-set, and scaling. Physica: D7, 1983, 224-239. • Reprint in Order in Chaos. Ed David Campbell & Harvey Rose, Amsterdam: North-Holland, 1983. 97 Jean VOLDMAN, M, Lee W. HOEVEL, Joshua KNIGHT, & Philip ROSENFELD 1983. Fractal nature of software-cache interaction. IBM Journal of Research and Development: 27, 164-170. • Reprint in CMG Transactions: 88, 55-60. Westmont, IL: Computer Measurement Group. 98 Yuval GEFEN, Amnon AHARONY, & M 1983. Phase transitions on fractals: I. Quasi-linear lattices. Journal of Physics: A16, 1267-1278. 1984 See also book(s) listed early in this document. 99 Yuval GEFEN, Amnon AHARONY, M, & Yonathan SHAPIR 1984. Phase transitions on fractals: II. Sierpinski gaskets. Journal of Physics: A17, 435-444. 100 Yuval GEFEN, Amnon AHARONY, & M 1984. Phase transitions on fractals: III. Infinitely ramified lattices. Journal of Physics: A17, 1277-1289. 101 M, Dann E. PASSOJA, & Alvin J. PAULLAY 1984. Fractal character of fracture surfaces of metals. Nature: 308, 721-722. • Abbreviated text: Book b, 7-9. 102 M M 1984e. Fractals in Physics: Squig clusters, diffusions, fractal measures and the unicity of fractal dimension. Statistical Physics 15, Int’l IUPAP Conf. (Edinburgh, 1983). Ed David Wallace & Alistair Bruce. Journal of Statistical Physics: 34, 895-930. • Excerpt: Each fractal set has a unique fractal dimension. Proc. of the IUTAM Symposium on Turbulence and Chaotic Phenomena in Fluids (Kyoto, 1883). Ed Tomomasa Tatsumi, Amsterdam: North-Holland, 1984, 203-206. • Illustration: On the aggregative fractals called squigs, which include recursive models of polymers and of percolation clusters. Kinetics of Aggregation and Gelation. Athens GA, Apr 1984. Ed Fereydoon Family & David P. Landau. Amsterdam, NL: North-Holland, 1984, 5-7. 103 M & James A. GIVEN 1984. Physical properties of a new fractal model of percolation clusters. Physical Review Letters: 52, 1853-1856. 104 M 1984f. Squig sheets and some other squig fractal constructions, followed by Comment on the equivalence between fracton/spectral dimensionality and the dimensionality of recurrence. Journal of Statistical Physics: 36, 519-545 (=Book a). 105 C13 M 1984k. On the dynamics of iterated maps VIII: The map zλ(z+1/z) from linear to planar chaos, and the measurement of chaos. Chaos and Statistical Methods (Kyoto Summer Institute, 1983). Ed Yoshiki Kuramoto, New York NY: Springer, 32-41. 106 M 1984w. On fractal geometry and a few of the mathematical questions it has raised. Proc. of the Int’l Congress of Mathematicians (Warsaw 1983). Ed Zbigniew Ciesielski, Warsaw, PL: PWN and Amsterdam, NL: North-Holland, 1661-1675. • Revised second edition: Unanswered questions raised by fractal geometry. Physics and Geometry (Barcelona, 1996). Ed Sebastià Xambó & David Jou. Barcelona, ES: Institut d’Estudis Catalans, 1999, 161-176. • Extensively revised third edition: Some mathematical questions arising in fractal geometry. Development of Mathematics 1950-2000. Ed Jean-Paul Pier. Basel, CH: Birkhäuser, 2000, 795-811. • Revised fourth edition: Topics on fractals in mathematics and physics.
• Revised fifth edition: Selected topics in mathematics, physics, and finance originating in fractal geometry. Thinking in Patterns: Fractals and Related Phenomena in Nature. (Fractal 2004, Vancouver CA). Ed Miroslav Novak. Singapore, SG: World Scientific, 2004, 1-33. Yüklə 0,93 Mb. Dostları ilə paylaş:
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