Bowen's equations for packing BS dimension of subsets for free semigroup actions

被引：0
|
作者：
Liu, Lei [1 ]
Zhao, Cao [2 ]
机构：
[1] Shangqiu Normal Univ, Sch Math & Stat, Shangqiu, Henan, Peoples R China
[2] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Jiangsu, Peoples R China
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2025年 / 31卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Free semigroup action; BS dimension; skew product; packing dimension; TOPOLOGICAL-ENTROPY; VARIATIONAL PRINCIPLE; HAUSDORFF DIMENSION; REAL ANALYTICITY; PRESSURE; SETS;
D O I：
10.1080/10236198.2024.2427628
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce and study the relations between the packing BS dimension of an arbitrary subset and topological pressure for free semigroup actions. We show that the packing BS dimension is the unique root of the topological pressure function for semigroup actions. Also, we establish a variational principle between the packing BS dimension and the measure-theoretic BS dimension for an arbitrary non-invariant compact set of an action $ \mathbb {S} $ S.
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页码：369 / 388
页数：20
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