Quenched invariance principles for random walks on percolation clusters

被引：104

作者：

Mathieu, P.

Piatnitski, A.

机构：

[1] Univ Aix Marseille 1, CMI, Marseille, France

[2] Russian Acad Sci, Narvik Inst Technol, Lebedev Phys Inst, N-8505 Narvik, Norway

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2007年 / 463卷 / 2085期

关键词：

percolation; random walk; invariance principle; infinite cluster;

D O I：

10.1098/rspa.2007.1876

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a supercritical Bernoulli percolation model in Z(d), d >= 2, and study the simple symmetric random walk on the infinite percolation cluster. The aim of this paper is to prove the almost sure (quenched) invariance principle for this random walk.

引用

页码：2287 / 2307

页数：21

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