Random walk in Markovian environment

• 成果类型: Article
• 署名作者: Dolgopyat, Dmitry; Keller, Gerhard; Liverani, Carlangelo
• 署名单位: University System of Maryland; University of Maryland College Park; University of Erlangen Nuremberg; University of Rome Tor Vergata
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/07-AOP369
• 发表日期: 2008
• 页码: 1676-1710
• 关键词: CENTRAL-LIMIT-THEOREM; additive-functionals

摘要

We prove a quenched central limit theorem for random walks with bounded increments in a randomly evolving, environment on Z(d). We assume that the transition probabilities of the walk depend not too strongly on the environment and that the evolution of the environment is Markovian with strong spatial and temporal mixing properties.