Limiting velocity of high-dimensional random walk in random environment

• 成果类型: Article
• 署名作者: Berger, Noam
• 署名单位: University of California System; University of California Los Angeles
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/07-AOP338
• 发表日期: 2008
• 页码: 728-738
• 关键词: LAW

摘要

We show that random walk in uniformly elliptic i.i.d. environment in dimension >= 5 has at most one non zero limiting velocity. In particular this proves a law of large numbers in the distributionally symmetric case and establishes connections between different conjectures.