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

被引：32

作者：

Andres, Sebastian ^{[1
]}

Deuschel, Jean-Dominique ^{[2
]}

Slowik, Martin ^{[2
]}

机构：

[1] Univ Bonn, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Tech Univ Berlin, Str 17 Juni 136, D-10623 Berlin, Germany

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2016年 / 164卷 / 3-4期

关键词：

Harnack inequality; Moser iteration; Random conductance model; Local limit theorem; Ergodic; ELLIPTIC DIFFERENTIAL-EQUATIONS; HEAT-KERNEL DECAY; RANDOM-WALKS; POINCARE INEQUALITIES; PERCOLATION CLUSTERS; THEOREM; BOUNDS;

D O I：

10.1007/s00440-015-0623-y

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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.

引用

页码：931 / 977

页数：47

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