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.

引用

页码：603 / 619

页数：17

共 50 条

[41] Entropy for semigroup actions on general topological spaces
Souza, Josiney A.
Santana, Alexandre J.
MATHEMATISCHE NACHRICHTEN, 2020, 293 (10) : 1985 - 2010
[42] TOPOLOGICAL-ENTROPY OF GROUP AND SEMIGROUP ACTIONS
HOFMANN, KH
STOJANOV, LN
ADVANCES IN MATHEMATICS, 1995, 115 (01) : 54 - 98
[43] A Variational Principle of the Deformed Entropy
Chen, Hu
Li, Zhiming
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2025, 24 (01)
[44] Entropy dimension and variational principle
Ahn, Young-Ho
Dou, Dou
Park, Kyewon Koh
STUDIA MATHEMATICA, 2010, 199 (03) : 295 - 309
[45] MEAN DIMENSION FOR FREE SEMIGROUP ACTIONS
Ji, Yong
Wang, Yunping
Zhao, Cao
HOUSTON JOURNAL OF MATHEMATICS, 2020, 46 (02): : 343 - 356
[46] Quantitative recurrence for free semigroup actions
Carvalho, Maria
Rodrigues, Fagner B.
Varandas, Paulo
NONLINEARITY, 2018, 31 (03) : 864 - 886
[47] Shadowable Points of Free Semigroup Actions
Li, Ritong
Ma, Dongkui
Kuang, Rui
Ye, Xiaojiang
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (04)
[48] Rates of Recurrence for Free Semigroup Actions
Yali Liang
Cao Zhao
Journal of Dynamical and Control Systems, 2021, 27 : 417 - 425
[49] Rates of Recurrence for Free Semigroup Actions
Liang, Yali
Zhao, Cao
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2021, 27 (03) : 417 - 425
[50] Shadowable measures of free semigroup actions
Ye, Xiaojiang
Ma, Dongkui
Li, Ritong
SEMIGROUP FORUM, 2025, : 487 - 503

← 1 2 3 4 5 →