Finite type in measure sense for self-similar sets with overlaps

被引：0

作者：

Deng, Juan ^{[1
]}

Wen, Zhiying ^{[2
]}

Xi, Lifeng ^{[3
,4
]}

机构：

[1] ShenZhen Univ, Dept Math, Shenzhen 518000, Peoples R China

[2] Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China

[3] Ningbo Univ, Dept Math, Ningbo 315211, Peoples R China

[4] Hunan Normal Univ, Minist Educ, Sch Math & Stat, Key Lab Comp & Stochast Math, Changsha 410081, Hunan, Peoples R China

来源：

MATHEMATISCHE ZEITSCHRIFT | 2021年 / 298卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Self-similar set; Finite type in measure sense; Weak separation condition; Generalized finite type; ITERATED FUNCTION SYSTEMS; SIMILAR FRACTALS; DIMENSION;

D O I：

10.1007/s00209-020-02632-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For self-similar sets with overlaps, we introduce a notion named the finite type in measure sense and reveal its intrinsic relationships with the weak separation condition and the generalized finite type.

引用

页码：821 / 837

页数：17

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