LOCAL LIMIT THEOREM AND EQUIVALENCE OF DYNAMIC AND STATIC POINTS OF VIEW FOR CERTAIN BALLISTIC RANDOM WALKS IN IID ENVIRONMENTS

• 成果类型: Article
• 署名作者: Berger, Noam; Cohen, Moran; Rosenthal, Ron
• 署名单位: Hebrew University of Jerusalem; Technical University of Munich; Swiss Federal Institutes of Technology Domain; ETH Zurich
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/15-AOP1038
• 发表日期: 2016
• 页码: 2889-2979
• 关键词: quenched invariance-principle; large numbers; percolation; LAW; BEHAVIOR; particle

摘要

In this work, we discuss certain ballistic random walks in random environments on Z(d), and prove the equivalence between the static and dynamic points of view in dimension d >= 4. Using this equivalence, we also prove a version of a local limit theorem which relates the local behavior of the quenched and annealed measures of the random walk by a prefactor.