Recurrence and transience of random walks in random environments on a strip

被引：42

作者：

Bolthausen, E

Goldsheid, I

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[2] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 214卷 / 02期

关键词：

D O I：

10.1007/s002200000279

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We explain the necessary and sufficient conditions for recurrent and transient behavior of a random walk in a stationary ergodic random environment on a strip in terms of properties of a top Lyapunov exponent. This Lyapunov exponent is defined for a product of a stationary sequence of positive matrices. In the one-dimensional case this approach allows us to treat wider classes of random walks than before.

引用

页码：429 / 447

页数：19

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