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.
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页码：2287 / 2307
页数：21
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