Quenched invariance principles for walks on clusters of percolation or among random conductances

被引：123
|
作者：
Sidoravicius, V
Sznitman, AS
机构：
[1] IMPA, BR-22460320 Rio De Janeiro, Brazil
[2] ETH Zentrum, Dept Math, CH-8092 Zurich, Switzerland
来源：
PROBABILITY THEORY AND RELATED FIELDS | 2004年 / 129卷 / 02期
关键词：
D O I：
10.1007/s00440-004-0336-0
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：
In this work we principally study random walk on the supercritical infinite cluster for bond percolation on Z(d). We prove a quenched functional central limit theorem for the walk when dgreater than or equal to4. We also prove a similar result for random walk among i.i.d. random conductances along nearest neighbor edges of Z(d), when dgreater than or equal to1.
引用
收藏
页码：219 / 244
页数：26
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