Dirichlet Form of Product of Variational Fractals

被引：0

作者：

刘源

机构：

[1] Department of Mathematical Sciences Tsinghua University

[2] Beijing

[3] China

来源：

TsinghuaScienceandTechnology | 2003年 / 05期

关键词：

Dirichlet form; variational fractals; p.c.f. (post critical finite) fractals;

D O I：

暂无

中图分类号：

O189.3 [解析拓扑学];

学科分类号：

070104 ;

摘要：

Much effort has gone into constructing Dirichlet forms to define Laplacians on self-similar sets. However, the results have only been successful on p.c.f. (post critical finite) fractals. We prove the existence of a Dirichlet form on a class of non- p.c.f. sets that are the product of variational fractals.

引用

页码：541 / 546

页数：6