Benoit B. MANDELBROT
 
 

Benoit Mandelbrot

STATISTICAL PHYSICS

VIRTUAL SELECTA

 

 

 

 

 

 


TABLE OF CONTENTS

  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.


  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.


  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.


  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) ]


  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) ]


  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) ]