An effective criterion for ballistic behavior of random walks in random environment

被引：0

作者：

Alain-Sol Sznitman

机构：

[1] Departement Mathematik,

[2] ETH-Zentrum,undefined

[3] CH-8092 Zürich,undefined

[4] Switzerland. e-mail: sznitman@math.ethz.ch,undefined

来源：

Probability Theory and Related Fields | 2002年 / 122卷

关键词：

Limit Theorem; Central Limit; Central Limit Theorem; Random Environment; Deviation Control;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate multi-dimensional random walks in random environment. Specifically, we provide an effective criterion which can be checked by inspection of the environment in a finite box, and implies a ballistic strong law of large numbers, a central limit theorem and several large deviation controls. With the help of this criterion, we provide an example of a ballistic multi-dimensional walk which does not fulfill the criterion introduced by Kalikow in [4]. The present work complements the results of [9], where a certain condition (T) was introduced, and confirms the interest of this condition.

引用

页码：509 / 544

页数：35

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