Simple transient random walks in one-dimensional random environment: the central limit theorem
成果类型：
Article
署名作者：
Goldsheid, Ilya Ya.
署名单位：
University of London; Queen Mary University London
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-006-0038-x
发表日期：
2007
页码：
41-64
关键词：
摘要：
We consider a simple random walk (dimension one, nearest neighbour jumps) in a quenched random environment. The goal of this work is to provide sufficient conditions, stated in terms of properties of the environment, under which the central limit theorem (CLT) holds for the position of the walk. Verifying these conditions leads to a complete solution of the problem in the case of independent identically distributed environments as well as in the case of uniformly ergodic (and thus also weakly mixing) environments.