On the zero-one law and the law of large numbers for random walk in mixing random environment

被引：3

作者：

Rassoul-Agha, F ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2005年 / 10卷

关键词：

random walk; random environment; zero-one law; law of large numbers; large deviations; mixing;

D O I：

10.1214/ECP.v10-1130

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 prove a weak version of the law of large numbers for multi-dimensional finite range random walks in certain mixing elliptic random environments. This already improves previously existing results,where a law of large numbers was known only under strong enough transience. We also prove that for such walks the zero-one law implies a law of large numbers.

引用

页码：36 / 44

页数：9

共 13 条

[1] Asymptotic behaviour for random walks in random environments [J].