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
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
收藏
页码:561 / 573
页数:13
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