On singularity of energy measures on self-similar sets

被引：0
|
作者：
Masanori Hino
机构：
[1] Graduate School of Informatics,Department of Applied Analysis and Complex Dynamical Systems
[2] Kyoto University,undefined
来源：
Probability Theory and Related Fields | 2005年 / 132卷
关键词：
Self-similar sets; Fractals; Energy measures; Walk dimension; Sierpinski carpets;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide general criteria for energy measures of regular Dirichlet forms on self-similar sets to be singular to Bernoulli type measures. In particular, every energy measure is proved to be singular to the Hausdorff measure for canonical Dirichlet forms on 2-dimensional Sierpinski carpets.
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页码：265 / 290
页数：25
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