The point of view of the particle on the law of large numbers for random walks in a mixing random environment

• 成果类型: Article
• 署名作者: Rassoul-Agha, F
• 署名单位: University System of Ohio; Ohio State University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1055425786
• 发表日期: 2003
• 页码: 1441-1463
• 关键词: reversible markov-processes; BEHAVIOR

摘要

The point of view of the particle is an approach that has proven very powerful in the study of many models of random motions in random media. We provide a new use of this approach to prove the law of large numbers in the case of one or higher-dimensional, finite range, transient random walks in mixing random environments. One of the advantages of this method over what has been used so far is that it is not restricted to i.i.d. environments.