THE SPEED OF A BIASED RANDOM WALK ON A PERCOLATION CLUSTER AT HIGH DENSITY

被引：6
|
作者：
Fribergh, Alexander [1 ]
机构：
[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA
来源：
ANNALS OF PROBABILITY | 2010年 / 38卷 / 05期
关键词：
Random walk in random conductances; percolation cluster; electrical networks; Kalikow; QUENCHED INVARIANCE-PRINCIPLES;
D O I：
10.1214/09-AOP521
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 the speed of a biased random walk on a percolation cluster on Z(d) in function of the percolation parameter p. We obtain a first order expansion of the speed at p = 1 which proves that percolating slows down the random walk at least in the case where the drift is along a component of the lattice.
引用
收藏
页码：1717 / 1782
页数：66
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