Lower dimensions of some fractal sets

被引：4

作者：

Chen, Haipeng ^{[1
]}

Wu, Min ^{[1
]}

Wei, Chun ^{[2
]}

机构：

[1] South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China

[2] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Hubei, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 455卷 / 02期

关键词：

Lower dimension; Moran sets; Doubling metric space; ASSOUAD TYPE DIMENSIONS; MORAN SETS;

D O I：

10.1016/j.jmaa.2017.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the lower dimension formula of compact subsets in the doubling metric space. Using this result, we give the lower dimension formula of the homogeneous sets. We also study the lower dimensions of Moran sets under the suitable condition. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：1022 / 1036

页数：15

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