Invariant Measure for Infinite Weakly Hyperbolic Iterated Function Systems

被引：0
|
作者：
Xiaopeng Chen
Chang-Bing Li
Yuan-Ling Ye
机构：
[1] Shantou University,Department of Mathematics
[2] South China Normal University,School of Mathematics
来源：
Journal of Statistical Physics | 2021年 / 182卷
关键词：
Ruelle operator; Weakly hyperbolic; Weakly contractive IFS; Nonexpansive map; Dini continuity; 37C30; 28A80; 47B38;
D O I：
暂无
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学科分类号：
摘要：
In this paper we define infinite weakly hyperbolic iterated function systems associated with uniformly Dini continuous weight functions. We study the Ruelle operator theorem for the infinite weakly hyperbolic iterated function systems associated with uniformly Dini continuous weight functions. We prove the existence and uniqueness of the invariant measure for these type systems.
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