Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs

被引：74

作者：

Barlow, MT ^{[1
]}

Coulhon, T

Kumagai, T

机构：

[1] Univ British Columbia, Vancouver, BC V6T 1Z2, Canada

[2] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

[3] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2005年 / 58卷 / 12期

关键词：

D O I：

10.1002/cpa.20091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sub-Gaussian estimates for random walks are typical of fractal graphs. We characterize them in the strongly recurrent case, in terms of resistance estimates only, without assuming elliptic Harnack inequalities. (c) 2005 Wiley Periodicals, Inc.

引用

页码：1642 / 1677

页数：36