On a class of transient random walks in random environment

• 成果类型: Article
• 署名作者: Sznithman, AS
• 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/1008956691
• 发表日期: 2001
• 页码: 724-765
• 关键词: dimensional random-walk; large deviations; LAW

摘要

We introduce in this article a class of transient random walks in a random environment on Z(d). When d greater than or equal to 2, these walks are ballistic and we derive a law of large numbers, a central limit theorem and large-deviation estimates. In the so-called nestling situation, large deviations in the neighborhood of the segment [0, v], v being the limiting velocity, are critical. They are of special interest in view of their close connection with the presence of traps in the medium, that is, pockets where a certain spectral parameter takes atypically low values.