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

页码：1717 / 1782

页数：66

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