Infinite iterated function systems with overlaps

被引：6
|
作者：
Ngai, Sze-Man [1 ,2 ]
Tong, Ji-Xi [3 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
[2] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
[3] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2016年 / 36卷
基金：
中国国家自然科学基金;
关键词：
SELF-SIMILAR SETS;
D O I：
10.1017/etds.2014.86
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We formulate two natural but different extensions of the weak separation condition to infinite iterated function systems of conformal contractions with overlaps, and study the associated topological pressure functions. We obtain a formula for the Hausdorff dimension of the limit sets under these weak separation conditions.
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页码：890 / 907
页数：18
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