Existence of phase transition of percolation on Sierpnski carpet lattices

被引：0
|
作者：
Shinoda, M [1 ]
机构：
[1] Nara Womens Univ, Fac Sci, Dept Math, Nara 6308506, Japan
来源：
JOURNAL OF APPLIED PROBABILITY | 2002年 / 39卷 / 01期
关键词：
percolation; Sierpinski carpet; phase transition; isoperimetric dimension;
D O I：
暂无
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We study Bernoulli bond percolation on Sierpinski carpet lattices, which is a class of graphs corresponding to generalized Sierpinski carpets. In this paper we give a sufficient condition for the existence of a phase transition on the lattices. The proof is suitable for graphs which have self-similarity. We also discuss the relation between the existence of a phase transition and the isoperimetric dimension.
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页码：1 / 10
页数：10
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