Heat kernel estimates for random walks with degenerate weights

被引：21

作者：

Andres, Sebastian ^{[1
]}

Deuschel, Jean-Dominique ^{[2
]}

Slowik, Martin ^{[2
]}

机构：

[1] Univ Bonn, Bonn, Germany

[2] Tech Univ Berlin, Berlin, Germany

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2016年 / 21卷

关键词：

random walk; heat kernel; Moser iteration; RANDOM CONDUCTANCE MODEL; INVARIANCE-PRINCIPLE; UPPER-BOUNDS; GRAPHS; DECAY; ENVIRONMENT;

D O I：

10.1214/16-EJP4382

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 Gaussian-type upper bounds on the heat kernel for a continuous-time random walk on a graph with unbounded weights under an integrability assumption. For the proof we use Davies' perturbation method, where we show a maximal inequality for the perturbed heat kernel via Moser iteration.

引用

页数：21

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