Slow movement of random walk in random environment on a regular tree

• 成果类型: Article
• 署名作者: Hu, Yueyun; Shi, Zhan
• 署名单位: Universite Paris 13; Universite Paris Cite; Sorbonne Universite
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000001150
• 发表日期: 2007
• 页码: 1978-1997
• 关键词: asymptotic properties; fixed-points

摘要

We consider a recurrent random walk in a random environment on a regular tree. Under suitable general assumptions concerning the distribution of the environment, we show that the walk exhibits an unusually slow movement: the order of magnitude of the walk in the first n steps is (log n)(3).