TRANSIENT RANDOM WALKS ON A STRIP IN A RANDOM ENVIRONMENT

• 成果类型: Article
• 署名作者: Roitershtein, Alexander
• 署名单位: Iowa State University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/08-AOP393
• 发表日期: 2008
• 页码: 2354-2387
• 关键词: persistent random-walks; recurrence; LAW

摘要

We consider transient random walks on a strip in a random environment. The model was introduced by Bolthausen and Goldsheid [Comm. Math. Phys. 214 (2000) 429-447]. We derive a strong law of large numbers for the random walks in a general ergodic setup and obtain an annealed central limit theorem in the case of uniformly mixing environments. In addition, we prove that the law of the environment viewed from the position of the walker converges to a limiting distribution if the environment is an i.i.d. sequence,