On new examples of ballistic random walks in random environment
成果类型：
Article
署名作者：
Sznitman, AS
署名单位：
Swiss Federal Institutes of Technology Domain; ETH Zurich
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
2003
页码：
285-322
关键词：
摘要：
In this article we show that random walks in random environment on Z(d), d greater than or equal to 3, with transition probabilities which are epsilon-perturbations of the simple random walk and such that the expectation of the local drift has size bigger than epsilon(rho), with rho < 5/2, when d = 3, rho < 3, when d greater than or equal to 4, fulfill the condition (T') introduced by Sznitman [Prob. Theory Related Fields (2002) 122 509-544], when E is small. As a result these walks satisfy a law of large numbers with nondegenerate limiting velocity, a central limit theorem and several large deviation controls. In particular, this provides examples of ballistic random walks in random environment which do not satisfy Kalikow's condition in the terminology of Sznitman and Zerner [Ann. Probab. (1999) 27 1851-1869]. An important tool in this work is the effective criterion of Sznitman.