Harnack inequalities on weighted graphs and some applications to the random conductance model

• 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: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-015-0623-y
• 发表日期: 2016
• 页码: 931-977
• 关键词: elliptic differential-equations; heat-kernel decay; random-walks; poincare inequalities; percolation clusters; THEOREM; bounds

摘要

We establish elliptic and parabolic Harnack inequalities on graphs with unbounded weights. As an application we prove a local limit theorem for a continuous time random walk in an environment of ergodic random conductances taking values in satisfying some moment conditions.