Ornstein-Zernike behavior for the Bernoulli bond percolation on Zd in the supercritical regime

被引：0

作者：

Braga, GA ^{[1
]}

Procacci, A ^{[1
]}

Sanchis, R ^{[1
]}

机构：

[1] Univ Fed Minas Gerais, Dept Math, BR-30161970 Belo Horizonte, MG, Brazil

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2004年 / 3卷 / 04期

关键词：

percolation; cluster expansion; Ornstein Zernike behavior;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive an Ornstein-Zernike asymptotic formula for the decay of the two point finite connectivity function phi(p)(f) (x <----> y) of the Bernoulli bond percolation process on Z(d), in the supercritical phase, along the principal directions, for d greater than or equal to 3, and for values of p sufficiently near to p = 1.

引用

页码：581 / 606

页数：26

共 22 条

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