Hausdorff dimension and upper box dimension of a class of homogeneous Moran sets

被引：0
|
作者：
Liu, Shishuang [1 ]
Li, Yanzhe [1 ]
Zong, Wenqi [1 ]
An, Chengshuai [1 ]
机构：
[1] Guangxi Univ, Coll Math & Informat Sci, Nanning, Peoples R China
来源：
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2024年 / 39卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Homogeneous Moran sets; {m(k)}-homogeneous Moran sets; Hausdorff dimension; upper box dimension; connected components;
D O I：
10.1080/14689367.2024.2318208
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct a class of special homogeneous Moran sets which is called the {m(k)}-homogeneous Moran sets by the connected components, and obtain the Hausdorff dimension and the upper box dimension of the {m(k)}-homogeneous Moran sets under some conditions.
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页码：449 / 460
页数：12
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