The dimension for random sub-self-similar set

被引：1

作者：

Hu, Dihe ^{[1
]}

Zhang, Xiaomin

机构：

[1] Yunnan Univ, Sch Math & Stat, Kunming 650091, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[3] Ningbo Univ, Fac Sci, Ningbo 315211, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2007年 / 27卷 / 03期

基金：

中国国家自然科学基金;

关键词：

random sub-self-similar set; random shift set; Hausdorff dimension; exact Hausdorff measure function; Hausdorff metric;

D O I：

10.1016/S0252-9602(07)60056-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the Hausdorff dimension and exact Hausdorff measure function of any random sub-self-similar set are obtained under some reasonable conditions. Several examples are given at the end.

引用

页码：561 / 573

页数：13

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