A law of large numbers for random walks in random environment
成果类型：
Article
署名作者：
Sznitman, AS; Zerner, MPW
署名单位：
Swiss Federal Institutes of Technology Domain; ETH Zurich
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/aop/1022874818
发表日期：
1999
页码：
1851-1869
关键词：
摘要：
We derive a law of large numbers for a class of multidimensional random walks in random environment satisfying a condition which first appeared in the work of Kalikow. The approach is based on the existence of a renewal structure under an assumption of transience in the direction l. This extends, to a multidimensional context, previous work of Kesten. Our results also enable proving the convergence of the law of the environment viewed from the particle toward a limiting distribution.