QUENCHED INVARIANCE PRINCIPLE FOR RANDOM WALKS WITH TIME-DEPENDENT ERGODIC DEGENERATE WEIGHTS

• 成果类型: Article
• 署名作者: Andres, Sebastian; Chiarini, Alberto; Deuschel, Jean-Dominique; Slowik, Martin
• 署名单位: University of Cambridge; Aix-Marseille Universite; Technical University of Berlin
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/17-AOP1186
• 发表日期: 2018
• 页码: 302-336
• 关键词: random conductance model; random environment; LIMIT-THEOREMS; homogenization

摘要

We study a continuous-time random walk, X, on Z(d) in an environment of dynamic random conductances taking values in (0,infinity). We assume that the law of the conductances is ergodic with respect to space-time shifts. We prove a quenched invariance principle for the Markov process X under some moment conditions on the environment. The key result on the sublinearity of the corrector is obtained by Moser's iteration scheme.