Benoit B. Mandelbrot - Publications

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Area:
Mathematics
Website:
http://en.wikipedia.org/wiki/Benoit_Mandelbrot

105 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any innacuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2010 Barral J, Jin X, Mandelbrot B. Convergence of complex multiplicative cascades Annals of Applied Probability. 20: 1219-1252. DOI: 10.1214/09-AAP665  0.8
2010 Barral J, Jin X, Mandelbrot B. Uniform convergence for complex [0,1]-martingales Annals of Applied Probability. 20: 1205-1218. DOI: 10.1214/09-AAP664  0.8
2009 Barral J, Mandelbrot B. Fractional multiplicative processes Annales De L'Institut Henri Poincare (B) Probability and Statistics. 45: 1116-1129. DOI: 10.1214/08-AIHP198  0.8
2009 Mandelbrot BB, Frame M. A primer of negative test dimensions and degrees of emptiness for latent sets Fractals. 17: 1-14. DOI: 10.1142/S0218348X09004211  0.8
2009 Mandelbrot BB. "New methods of statistical economics," revisited: Short versus long tails and Gaussian versus power-law distributions Complexity. 14: 55-65. DOI: 10.1002/cplx.20264  0.8
2007 Mandelbrot BB. Scalebound or scaling shapes: A useful distinction in the visual arts and in the natural sciences Leonardo. 40: 494-496.  0.8
2006 Mandelbrot BB. Fractal analysis and synthesis of fracture surface roughness and related forms of complexity and disorder International Journal of Fracture. 138: 13-17. DOI: 10.1007/s10704-006-0037-z  0.8
2005 Mandelbrot BB. The inescapable need for fractal tools in finance Annals of Finance. 1: 193-195. DOI: 10.1007/s10436-004-0008-1  0.8
2005 Mandelbrot BB. Parallel cartoons of fractal models of finance Annals of Finance. 1: 179-192. DOI: 10.1007/s10436-004-0007-2  0.8
2005 Pareto VFS, Mandelbrot BB. Fractal renewal processes Fractal-Based Point Processes. 153-169. DOI: 10.1002/0471754722.ch7  0.8
2003 Asikainen J, Aharony A, Mandelbrot BB, Rausch E, Hovi JP. Fractal geometry of critical Potts clusters European Physical Journal B. 34: 479-487. DOI: 10.1140/epjb/e2003-00247-7  0.8
2003 Mandelbrot BB. Father of fractal complexity Quantitative Finance. 3: C88-C90. DOI: 10.1088/1469-7688/3/5/601  0.8
2003 Mandelbrot BB. Multifractal Power Law Distributions: Negative and Critical Dimensions and Other "Anomalies," Explained by a Simple Example Journal of Statistical Physics. 110: 739-774. DOI: 10.1023/A:1022159802564  0.8
2003 Barral J, Coppens MO, Mandelbrot BB. Multiperiodic multifractal martingale measures Journal Des Mathematiques Pures Et Appliquees. 82: 1555-1589. DOI: 10.1016/S0021-7824(03)00035-7  0.8
2002 Mandelbrot BB, Kol B, Aharony A. Angular gaps in radial diffusion-limited aggregation: two fractal dimensions and nontransient deviations from linear self-similarity. Physical Review Letters. 88: 055501. PMID 11863740  0.8
2002 Barral J, Mandelbrot BB. Multifractal products of cylindrical pulses Probability Theory and Related Fields. 124: 409-430. DOI: 10.1007/s004400200220  0.8
1999 Mandelbrot BB. Renormalization and fixed points in finance, since 1962 Physica a: Statistical Mechanics and Its Applications. 263: 477-487.  0.8
1999 Mandelbrot BB, Frame M. The canopy and shortest path in a self-contacting fractal tree Mathematical Intelligencer. 21: 18-27.  0.8
1998 Mandelbrot BB, Pfeifer P, Biham O, Malcai O, Lidar DA, Avnir D. Is nature fractal? [1] Science. 279: 783-786.  0.8
1997 Riedi RH, Mandelbrot BB. Inversion Formula for Continuous Multifractals Advances in Applied Mathematics. 19: 332-354. DOI: 10.1006/aama.1997.0550  0.8
1997 Mandelbrot BB, Riedi RH. Inverse Measures, the Inversion Formula, and Discontinuous Multifractals Advances in Applied Mathematics. 18: 50-58. DOI: 10.1006/aama.1996.0500  0.8
1997 Mandelbrot BB. Galaxy distributions and fractals Astrophysical Letters and Communications. 36: 1-5.  0.8
1997 Blumenfeld R, Mandelbrot BB. Lévy dusts, Mittag-Leffler statistics, mass fractal facunarity, and perceived dimension Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 56: 112-118.  0.8
1997 Mandelbrot B, Jaffard S. Peano-Pólya motions, when time is intrinsic or binomial (uniform or multifractal) Mathematical Intelligencer. 19: 21-26.  0.8
1996 Hovi J, Aharony A, Stauffer D, Mandelbrot BB. Gap Independence and Lacunarity in Percolation Clusters. Physical Review Letters. 77: 877-880. PMID 10062929  0.8
1996 Cioczek-Georges R, Mandelbrot BB. Alternative micropulses and fractional Brownian motion Stochastic Processes and Their Applications. 64: 143-152. DOI: 10.1016/S0304-4149(96)00089-0  0.8
1996 Jaffard S, Mandelbrot BB. Local regularity of nonsmooth wavelet expansions and application to the Polya function Advances in Mathematics. 120: 265-282. DOI: 10.1006/aima.1996.0039  0.8
1995 Kaufman H, Vespignani A, Mandelbrot BB, Woog L. Parallel diffusion-limited aggregation. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 52: 5602-5609. PMID 9964058 DOI: 10.1103/PhysRevE.52.5602  0.8
1995 Cioczek-Georges R, Mandelbrot BB, Samorodnitsky G, Taqqu MS. Stable fractal sums of pulses: The cylindrical case Bernoulli. 1: 201-216. DOI: 10.3150/bj/1193667815  0.68
1995 Mandelbrot BB, Vespignani A, Kaufman H. Crosscut analysis of large radial dla: Departures from self-similarity and lacunarity effects Epl. 32: 199-204. DOI: 10.1209/0295-5075/32/3/002  0.8
1995 Mandelbrot BB, Kaufman H, Vespignani A, Yekutieli I, Lam CH. Deviations from self-similarity in plane dla and the «infinite drift» scenario Epl. 29: 599-604. DOI: 10.1209/0295-5075/29/8/002  0.8
1995 Chi-Hang Lam, Kaufman H, Mandelbrot BB. Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA) Journal of Physics a: General Physics. 28: L213-L217. DOI: 10.1088/0305-4470/28/7/002  0.8
1995 Cioczek-Georges R, Mandelbrot BB. A class of micropulses and antipersistent fractional Brownian motion Stochastic Processes and Their Applications. 60: 1-18. DOI: 10.1016/0304-4149(95)00046-1  0.8
1995 Riedi RH, Mandelbrot BB. Multifractal Formalism for Infinite Multinomial Measures Advances in Applied Mathematics. 16: 132-150. DOI: 10.1006/aama.1995.1007  0.8
1995 Mandelbrot BB, Vespignani A, Kaufman H. Geometry of DLA: different aspects of the departure from self-similarity Materials Research Society Symposium - Proceedings. 367: 73-80.  0.8
1994 Yekutieli I, Mandelbrot BB. Horton-Strahler ordering of random binary trees Journal of Physics a: Mathematical and General. 27: 285-293. DOI: 10.1088/0305-4470/27/2/014  0.8
1994 Yekutieli I, Mandelbrot BB, Kaufman H. Self-similarity of the branching structure in very large DLA clusters and other branching fractals Journal of Physics a: Mathematical and General. 27: 275-284. DOI: 10.1088/0305-4470/27/2/013  0.8
1993 Stauffer D, Aharony A, Mandelbrot BB. Self-similarity and covered neighborhoods of fractals: A random walk test Physica a: Statistical Mechanics and Its Applications. 196: 1-5. DOI: 10.1016/0378-4371(93)90076-G  0.8
1992 Evertsz CJ, Mandelbrot BB, Woog L. Variability of the form and of the harmonic measure for small off-off-lattice diffusion-limited aggregates. Physical Review. A. 45: 5798-5804. PMID 9907681 DOI: 10.1103/PhysRevA.45.5798  0.8
1992 Evertsz CJG, Mandelbrot BB. Harmonic measure around a linearly self-similar tree* Journal of Physics a: Mathematical and General. 25: 1781-1797. DOI: 10.1088/0305-4470/25/7/020  0.8
1992 Mandelbrot BB. Plane DLA is not self-similar; is it a fractal that becomes increasingly compact as it grows? Physica a: Statistical Mechanics and Its Applications. 191: 95-107. DOI: 10.1016/0378-4371(92)90511-N  0.8
1992 Evertsz CJG, Mandelbrot BB. Self-similarity of harmonic measure on DLA Physica a: Statistical Mechanics and Its Applications. 185: 77-86. DOI: 10.1016/0378-4371(92)90440-2  0.8
1991 Evertsz CJG, Mandelbrot BB. Steady-State Noises in Diffusion-Limited Fractal Growth Epl. 15: 245-250. DOI: 10.1209/0295-5075/15/3/002  0.8
1991 Evertsz CJG, Jones PW, Mandelbrot BB. Behaviour of the harmonic measure at the bottom of fjords Journal of Physics a: Mathematical and General. 24: 1889-1901. DOI: 10.1088/0305-4470/24/8/028  0.8
1991 Evertsz CJG, Mandelbrot BB. Fractal aggregates, and the current lines of their electrostatic potentials Physica a: Statistical Mechanics and Its Applications. 177: 589-592. DOI: 10.1016/0378-4371(91)90205-Q  0.8
1991 Mandelbrot BB, Evertsz CJG. Multifractality of the harmonic measure on fractal aggregates, and extended self-similarity Physica a: Statistical Mechanics and Its Applications. 177: 386-393. DOI: 10.1016/0378-4371(91)90177-E  0.8
1991 Musgrave FK, Mandelbrot BB. Art of fractal landscapes Ibm Journal of Research and Development. 35: 535-540.  0.8
1990 Mandelbrot BB, Evertsz CJ, Hayakawa Y. Exactly self-similar left-sided multifractal measures. Physical Review. A. 42: 4528-4536. PMID 9904559 DOI: 10.1103/PhysRevA.42.4528  0.8
1990 Mandelbrot BB. New "anomalous" multiplicative multifractals: Left sided f{hook}(α) and the modelling of DLA Physica a: Statistical Mechanics and Its Applications. 168: 95-111. DOI: 10.1016/0378-4371(90)90361-U  0.8
1990 Mandelbrot BB. Negative fractal dimensions and multifractals Physica a: Statistical Mechanics and Its Applications. 163: 306-315. DOI: 10.1016/0378-4371(90)90339-T  0.8
1990 Mandelbrot BB, Evertsz CJG. The potential distribution around growing fractal clusters Nature. 348: 143-145.  0.8
1989 Mandelbrot BB, Vicsek T. Directed recursion models for fractal growth Journal of Physics a: Mathematical and General. 22: L377-L383. DOI: 10.1088/0305-4470/22/9/005  0.8
1989 Mandelbrot BB. Temperature fluctuation: A well-defined and unavoidable notion Physics Today. 42: 71-73. DOI: 10.1063/1.2810881  0.68
1989 Mandelbrot BB. Some "Facts" That Evaporate Upon Examination The Mathematical Intelligencer. 11: 17-19. DOI: 10.1007/BF03025878  0.8
1989 Mandelbrot BB. Multifractal measures, especially for the geophysicist Pure and Applied Geophysics Pageoph. 131: 5-42. DOI: 10.1007/BF00874478  0.8
1989 Scholz CH, Mandelbrot BB. Introduction Pure and Applied Geophysics Pageoph. 131: 1-4. DOI: 10.1007/BF00874477  0.8
1988 Gutzwiller MC, Mandelbrot BB. Invariant multifractal measures in chaotic Hamiltonian systems, and related structures. Physical Review Letters. 60: 673-676. PMID 10038616 DOI: 10.1103/PhysRevLett.60.673  0.8
1988 Mandelbrot BB. 'Flare': A graphic by-product of the study of a two-dimensional dynamical system. Ieee Transactions On Circuits and Systems. 35: 768-769. DOI: 10.1109/31.1820  0.8
1988 Rose IH, Mandelbrot BB. How i did not discover relativity The Mathematical Intelligencer. 10: 65-67. DOI: 10.1007/BF03028360  0.8
1985 Lovejoy S, Mandelbrot BB. Fractal properties of rain, and a fractal model. Tellus, Series A. 37: 209-232. DOI: 10.1111/j.1600-0870.1985.tb00423.x  0.8
1985 Mandelbrot BB, Gefen Y, Aharony A, Peyriere J. Fractals, their transfer matrices and their eigen-dimensional sequences Journal of Physics a: Mathematical and General. 18: 335-354. DOI: 10.1088/0305-4470/18/2/024  0.8
1985 Mandelbrot BB. Self-affine fractals and fractal dimension Physica Scripta. 32: 257-260. DOI: 10.1088/0031-8949/32/4/001  0.8
1985 Mandelbrot BB. Continuous interpolation of the complex discrete map z→⋋z(1-z), and related topics: On the dynamics of iterated maps, ex Physica Scripta. 1985: 59-63. DOI: 10.1088/0031-8949/1985/T9/008  0.8
1984 Mandelbrot BB, Given JA. Physical properties of a new fractal model of percolation clusters Physical Review Letters. 52: 1853-1856. DOI: 10.1103/PhysRevLett.52.1853  0.8
1984 Given JA, Mandelbrot BB. Comment on transport processes on fractal structures Journal of Physics a: General Physics. 17: 1937-1939. DOI: 10.1088/0305-4470/17/9/028  0.8
1984 Gefen Y, Aharony A, Mandelbrot BB. Phase transitions on fractals. III. Infinitely ramified lattices Journal of Physics a: General Physics. 17: 1277-1289. DOI: 10.1088/0305-4470/17/6/024  0.8
1984 Gefen Y, Aharony A, Shapir Y, Mandelbrot BB. Phase transitions on fractals. II. Sierpinski gaskets Journal of Physics a: Mathematical and General. 17: 435-444. DOI: 10.1088/0305-4470/17/2/028  0.8
1984 Mandelbrot BB, Passoja DE, Paullay AJ. Fractal character of fracture surfaces of metals Nature. 308: 721-722. DOI: 10.1038/308721a0  0.8
1984 Gefen Y, Mandelbrot BB, Aharony A, Kapitulnik A. Partial dimensional sequences and percolation Journal of Statistical Physics. 36: 827-830. DOI: 10.1007/BF01012942  0.8
1984 Given JA, Mandelbrot BB. A new model of percolation clusters Journal of Statistical Physics. 36: 545. DOI: 10.1007/BF01012920  0.8
1984 Mandelbrot BB. Comment on the equivalence between fracton/spectral dimensionality, and the dimensionality of recurrence Journal of Statistical Physics. 36: 541-543. DOI: 10.1007/BF01012919  0.8
1984 Mandelbrot BB. Squig sheets and some other squig fractal constructions Journal of Statistical Physics. 36: 519-539. DOI: 10.1007/BF01012918  0.8
1984 Mandelbrot BB. Fractals in physics: Squig clusters, diffusions, fractal measures, and the unicity of fractal dimensionality Journal of Statistical Physics. 34: 895-930. DOI: 10.1007/BF01009448  0.8
1984 Mandelbrot B. EACH FRACTAL SET HAS A UNIQUE FRACTAL DIMENSION . 203-206.  0.8
1983 Gefen Y, Meir Y, Mandelbrot BB, Aharony A. Geometric implementation of hypercubic lattices with noninteger dimensionality by use of low lacunarity fractal lattices Physical Review Letters. 50: 145-148. DOI: 10.1103/PhysRevLett.50.145  0.8
1983 Gefen Y, Aharony A, Mandelbrot BB. Phase transitions on fractals. I. Quasi-linear lattices Journal of Physics a: Mathematical and General. 16: 1267-1278. DOI: 10.1088/0305-4470/16/6/021  0.8
1983 Given JA, Mandelbrot BB. Diffusion on fractal lattices and the fractal Einstein relation Journal of Physics a: General Physics. 16: L565-L569. DOI: 10.1088/0305-4470/16/15/003  0.8
1983 Mandelbrot BB. On the quadratic mapping z→z2-μ for complex μ and z: The fractal structure of its M set, and scaling Physica D: Nonlinear Phenomena. 7: 224-239. DOI: 10.1016/0167-2789(83)90128-8  0.8
1983 Mandelbrot BB. Self-inverse fractals osculated by sigma-discs and the limit sets of inversion groups The Mathematical Intelligencer. 5: 9-17. DOI: 10.1007/BF03023620  0.8
1982 Mandelbrot BB. Technical correspondence: Comment on Computer Rendering of Fractal Stochastic Models Communications of the Acm. 25: 581-583. DOI: 10.1145/358589.383446  0.68
1982 Mandelbrot BB. On an eigenfunction expansion and on fractional Brownian motions Lettere Al Nuovo Cimento Series 2. 33: 549-550. DOI: 10.1007/BF02753799  0.8
1981 Gefen Y, Aharony A, Mandelbrot BB, Kirkpatrick S. Solvable fractal family, and its possible relation to the backbone at percolation Physical Review Letters. 47: 1771-1774. DOI: 10.1103/PhysRevLett.47.1771  0.8
1980 Gefen Y, Mandelbrot BB, Aharony A. Critical phenomena on fractal lattices Physical Review Letters. 45: 855-858. DOI: 10.1103/PhysRevLett.45.855  0.8
1978 Cairns SS, Mandelbrot BB, Barsotti I, Lenard A. Editorial The Mathematical Intelligencer. 1: 125-126. DOI: 10.1007/BF03023256  0.8
1977 Mandelbrot BB. Fractals and turbulence: Attractors and dispersion. In: Proc. Turbulence Seminar, (Berkeley, U.S.a.,: 1976-1977), P. Bernard ; T. Rativ, (Eds), Berlin, Fed. Rep. Germany, Spring. 615: 83-93.  0.8
1976 Mandelbrot BB. Note on the definition and the stationarity of fractional Gaussian noise Journal of Hydrology. 30: 407-409. DOI: 10.1016/0022-1694(76)90122-0  0.8
1975 Mandelbrot BB. ON THE GEOMETRY OF HOMOGENEOUS TURBULENCE, WITH STRESS ON THE FRACTAL DIMENSION OF THE ISO-SURFACES OF SCALARS. Journal of Fluid Mechanics. 72: 401-416. DOI: 10.1017/S0022112075003047  0.8
1975 Mandelbrot BB. Limit Theorem on the Self-Normalized Range for Weakly and Strongly Dependent Process Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 33: 220. DOI: 10.1007/BF00534968  0.8
1975 Mandelbrot BB. Limit theorems on the self-normalized range for weakly and strongly dependent processes Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 31: 271-285. DOI: 10.1007/BF00532867  0.8
1975 Mandelbrot BB. Stochastic models for the Earth's relief, the shape and the fractal dimension of the coastlines, and the number area rule for islands Proceedings of the National Academy of Sciences of the United States of America. 72: 3825-3828.  0.8
1974 Mandelbrot BB. INTERMITTENT TURBULENCE IN SELF-SIMILAR CASCADES: DIVERGENCE OF HIGH MOMENTS AND DIMENSION OF THE CARRIER. Journal of Fluid Mechanics. 62: 331-358. DOI: 10.1017/S0022112074000711  0.8
1972 Mandelbrot BB. On Dvoretzky coverings for the circle Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 22: 158-160. DOI: 10.1007/BF00532734  0.8
1972 Mandelbrot BB. Renewal sets and random cutouts Zeitschrift FüR Wahrscheinlichkeitstheorie Und Verwandte Gebiete. 22: 145-157. DOI: 10.1007/BF00532733  0.8
1970 Mandelbrot BB. Comment on 'stochastic models in hydrology' by Adrian E. Scheidegger Water Resources Research. 6: 1791. DOI: 10.1029/WR006i006p01791  0.8
1967 Mandelbrot B. Some Noises with 1/ f Spectrum, a Bridge Between Direct Current and White Noise Ieee Transactions On Information Theory. 13: 289-298. DOI: 10.1109/TIT.1967.1053992  0.68
1967 Mandelbrot B. How long is the coast of Britain? Statistical self-similarity and fractional dimension Science. 156: 636-638.  0.8
1965 Mandelbrot B. Leo Szilard and Unique Decipherability Ieee Transactions On Information Theory. 11: 455-456. DOI: 10.1109/TIT.1965.1053782  0.68
1965 Mandelbrot B. Self-Similar Error Clusters in Communication Systems and the Concept of Conditional Stationarity Ieee Transactions On Communication Technology. 13: 71-90. DOI: 10.1109/TCOM.1965.1089090  0.68
1964 GERSTEIN GL, MANDELBROT B. RANDOM WALK MODELS FOR THE SPIKE ACTIVITY OF A SINGLE NEURON. Biophysical Journal. 4: 41-68. PMID 14104072  0.8
1964 Mandelbrot B. On the derivation of statistical thermodynamics from purely phenomenological principles Journal of Mathematical Physics. 5: 164-171.  0.68
1961 Mandelbrot B. Final note on a class of skew distribution functions: Analysis and critique of a model due to H. A. Simon Information and Control. 4: 198-216.  0.68
1961 Mandelbrot B. Post scriptum to "final note" Information and Control. 4: 300-304.  0.68
1959 Mandelbrot B. A note on a class of skew distribution functions: Analysis and critique of a paper by H. A. Simon Information and Control. 2: 90-99.  0.68
1957 Mandelbrot B. A note on a law of berry and on insistence stress Information and Control. 1: 76-81.  0.68
1956 Mandelbrot B. An outline of a purely phenomenological theory of statistical thermodynamics : I. Canonical ensembles Ire Transactions On Information Theory. 2: 190-203. DOI: 10.1109/TIT.1956.1056804  0.68
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