The pointwise dimension of self-similar measures

被引：24

作者：

Chen, EC ^{[1
]}

Xiong, JC

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China

[2] S China Normal Univ, Dept Math, Guangzhou 510631, Peoples R China

来源：

CHINESE SCIENCE BULLETIN | 1999年 / 44卷 / 23期

关键词：

self-similar measure; pointwise dimension; Hausdorff dimension; multifractal; symbolic space;

D O I：

10.1007/BF03182695

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The problem about the existence of pointwise dimension of self-similar measure has been discussed. The Hausdorff dimension of the set of those points for which the pointwise dimension does not exist equals the dimension of support of the self-similar measure.

引用

页码：2136 / 2140

页数：5