INVARIANCE PRINCIPLE FOR THE RANDOM CONDUCTANCE MODEL IN A DEGENERATE ERGODIC ENVIRONMENT

• 成果类型: Article
• 署名作者: Andres, Sebastian; Deuschel, Jean-Dominique; Slowik, Martin
• 署名单位: University of Bonn; Technical University of Berlin
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/14-AOP921
• 发表日期: 2015
• 页码: 1866-1891
• 关键词: reversible markov-processes; simple random-walk; percolation; homogenization; discrete; THEOREM

摘要

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