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.
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页码：821 / 837
页数：17
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