Uniqueness of Locally Symmetric Brownian Motion on Laakso Spaces

被引：10

作者：

Steinhurst, Benjamin ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

POTENTIAL ANALYSIS | 2013年 / 38卷 / 01期

基金：

美国国家科学基金会;

关键词：

Fractals; Brownian motion; Dirichlet forms; Heat kernel bounds; METRIC MEASURE-SPACES; SIERPINSKI CARPETS; RESISTANCE;

D O I：

10.1007/s11118-012-9273-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the spaces introduced by Laakso in 2000 and, building on the work of Barlow, Bass, Kumagai, and Teplyaev, prove the existence and uniqueness of a local symmetry invariant diffusion via heat kernel estimates. This work also builds upon works of Cheeger, Barlow and Bass, as well as the author.

引用

页码：281 / 298

页数：18

共 20 条

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