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Benoit Mandelbrot
STATISTICAL PHYSICS
VIRTUAL SELECTA
TABLE OF CONTENTS
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88 |
Yuval GEFEN, M, & Amnon AHARONY 1980. Critical phenomena
on fractals. Physical Review Letters: 45,
855-858.
[ PDF
(2.47 MB) ]
• Abstract: Ising models on fractal lattice (Yuval Gefen,
M, & Amnon Aharony). Proceedings of the XIVth International
Conference on Thermodynamics and Statistical Mechanics (Statphys
14), August 1980, Edmonton, Alberta, Canada.
• Variant: Critical phenomena and fractals with dimensionality
near 1 (Yuval Gefen, M, & Amnon Aharony). Physics in One
Dimension. Edited by J. Bernasconi & T. Schneider, New
York: Springer, 1980.
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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.
[ PDF
(2.17 MB) ]
• 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). Edited by C. Castellani, C. DiCastro &
L. Peliti. New York: Springer, 1981, 56-58.
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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.
[ PDF
(2.05 MB) ]
• Reprint: The Wolf Prizes for Physics. Edited
by David J. Thouless. Singapore: World Scientific, 2005.
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103 |
M & James A. GIVEN 1984. Physical properties of a new fractal
model of percolation clusters. Physical Review Letters:
52, 1853-1856.
[ PDF
(2.25 MB) ]
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127 |
M & Carl J. G. EVERTSZ 1990. The potential distribution around
growing fractal clusters, Nature: 378
(6296), front cover & pp. 143-145.
[ PDF
(5.82 MB) ]
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157 |
Juha-Pekka HOVI, Amnon AHARONY, Dietrich STAUFFER, & M 1996.
Gap independence and lacunarity in percolation clusters. Physical
Review Letters: 77, 877-890.
[ PDF
(2.49 MB) ]
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