Partial dimensional sequences and percolation

Yuval Gefen; B. B. Mandelbrot; A. Aharony; A. Kapitulnik

doi:10.1007/BF01012942

Partial dimensional sequences and percolation

Yuval Gefen^*, B. B. Mandelbrot, A. Aharony, A. Kapitulnik

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We discuss a new mathematical approach of describing fractal lattices by means of transfer matrices of fractals (TMFs). These matrices have interesting mathematical properties. Possible physical applications of the TMFs are briefly indicated.

Original language	English
Pages (from-to)	827-830
Number of pages	4
Journal	Journal of Statistical Physics
Volume	36
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01012942
State	Published - Sep 1984

Keywords

Fractals
clusters
percolation
renormalization group
transfer matrices

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10.1007/BF01012942

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title = "Partial dimensional sequences and percolation",

abstract = "We discuss a new mathematical approach of describing fractal lattices by means of transfer matrices of fractals (TMFs). These matrices have interesting mathematical properties. Possible physical applications of the TMFs are briefly indicated.",

keywords = "Fractals, clusters, percolation, renormalization group, transfer matrices",

author = "Yuval Gefen and Mandelbrot, {B. B.} and A. Aharony and A. Kapitulnik",

year = "1984",

month = sep,

doi = "10.1007/BF01012942",

language = "אנגלית",

volume = "36",

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journal = "Journal of Statistical Physics",

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T1 - Partial dimensional sequences and percolation

AU - Gefen, Yuval

AU - Mandelbrot, B. B.

AU - Aharony, A.

AU - Kapitulnik, A.

PY - 1984/9

Y1 - 1984/9

N2 - We discuss a new mathematical approach of describing fractal lattices by means of transfer matrices of fractals (TMFs). These matrices have interesting mathematical properties. Possible physical applications of the TMFs are briefly indicated.

AB - We discuss a new mathematical approach of describing fractal lattices by means of transfer matrices of fractals (TMFs). These matrices have interesting mathematical properties. Possible physical applications of the TMFs are briefly indicated.

KW - Fractals

KW - clusters

KW - percolation

KW - renormalization group

KW - transfer matrices

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AN - SCOPUS:0345293788

SN - 0022-4715

VL - 36

SP - 827

EP - 830

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

Partial dimensional sequences and percolation

Abstract

Keywords

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