Topological pressure for an iterated function system

被引:1
作者
Wang, Huoyun [1 ]
Liao, Xing [1 ]
机构
[1] Guangzhou Univ, Dept Math, Guangzhou, Peoples R China
来源
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2021年 / 36卷 / 03期
关键词
Topological entropy; topological pressure; iterated function system; measure-theoretic entropy; ENTROPY; SEMIGROUP;
D O I
10.1080/14689367.2021.1929081
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce a notion of topological pressure, which is different from the LMW's and ML's for an iterated function system. We find out the properties of the topological pressure, which are more similar to the properties of the classical topological pressure than LMW's and ML's. For an iterated function system, we obtain a partial variational principle on topological pressure, which improves the LMW's related result. Finally, we give a lower bound estimation of the topological pressure for a Ruelle-expanding iterated function system. In particular, we point out the exponential growth rate of fixed points is a lower bound of WLLZ's topological entropy for a Ruelle-expanding iterated function system.
引用
收藏
页码:483 / 506
页数:24
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