INVARIANCE PRINCIPLE FOR THE RANDOM CONDUCTANCE MODEL WITH UNBOUNDED CONDUCTANCES

• 成果类型: Article
• 署名作者: Barlow, M. T.; Deuschel, J-D.
• 署名单位: University of British Columbia; Technical University of Berlin
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/09-AOP481
• 发表日期: 2010
• 页码: 234-276
• 关键词: parabolic harnack inequality; bounded random conductances; reversible markov-processes; percolation clusters; random-walks; limit-theorem; heat kernels; trap models; graphs; environments

摘要

We study a continuous time random walk X in an environment of i.i.d. random conductances mu(e) is an element of [1, infinity). We obtain heat kernel bounds and prove a quenched invariance principle for X. This holds even when E mu(e) = infinity.