Variational principle for polynomial entropy on subsets of free semigroup actions

被引：3
|
作者：
Liu, Lei [1 ,2 ]
Peng, Dongmei [1 ]
机构：
[1] Shangqiu Normal Univ, Sch Math & Stat, Shangqiu, Henan, Peoples R China
[2] Shangqiu Normal Univ, Sch Math & Stat, Shangqiu 476000, Henan, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2023年 / 29卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Bowen polynomial entropy; lower local polynomial entropy; variational principle; free semigroup; TOPOLOGICAL-ENTROPY; PRESSURE;
D O I：
10.1080/10236198.2023.2234512
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the relations between Bowen polynomial entropy on an arbitrary subset and local measure theoretic polynomial entropy of Borel probability measure for finitely generated semigroup actions. Also, we establish a variational principle for polynomial entropy on compact subsets in the context of free semigroup actions.
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页码：603 / 619
页数：17
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