Quenched invariance principle for random walks in balanced random environment

• 成果类型: Article
• 署名作者: Guo, Xiaoqin; Zeitouni, Ofer
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities; Weizmann Institute of Science
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-010-0320-9
• 发表日期: 2012
• 页码: 207-230
• 关键词: percolation

摘要

We consider random walks in a balanced random environment in Z(d), d >= 2. We first prove an invariance principle ( for d >= 2) and the transience of the random walks when d >= 3 (recurrence when d = 2) in an ergodic environment which is not uniformly elliptic but satisfies certain moment condition. Then, using percolation arguments, we show that under mere ellipticity, the above results hold for random walks in i.i.d. balanced environments.