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

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 - 1 Sep 1984
Externally published	Yes

Keywords

clusters
Fractals
percolation
renormalization group
transfer matrices

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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

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

year = "1984",

month = sep,

day = "1",

doi = "10.1007/BF01012942",

language = "English",

volume = "36",

pages = "827--830",

journal = "Journal of Statistical Physics",

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TY - JOUR

T1 - Partial dimensional sequences and percolation

AU - Gefen, Yuval

AU - Mandelbrot, B. B.

AU - Aharony, A.

AU - Kapitulnik, A.

PY - 1984/9/1

Y1 - 1984/9/1

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 - clusters

KW - Fractals

KW - percolation

KW - renormalization group

KW - transfer matrices

UR - https://www.scopus.com/pages/publications/0345293788

U2 - 10.1007/BF01012942

DO - 10.1007/BF01012942

M3 - Article

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

ASJC Scopus subject areas

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