AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (262.4 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Topological pressures of a factor map for iterated function systems

Zhongxuan Yang( ), Xiaojun Huang, Jiajun Zhang
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
Show Author Information

Abstract

In this manuscript, we mainly investigate the topological pressure for iterated function systems on a compact metric space defined by Wang and Liao [Dynam. Syst., 2021, 36(3): 483–506]. Given a factor map, we establish a formula of topological pressure of a factor map, which generalizes Bowen's inequality in [Trans. Amer. Math. Soc., 1971,153: 401–414.] to iterated function systems. Consequently, we further study the power rule of a topological pressure for iterated function systems.

Keywords

iterated function systemtopological pressureBiś's topological entropyfactor map
CLC number: 37A05, 37B40, 37D35

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 4,
April 2025
Pages 10124-10139
DOI: 10.3934/math.2025461

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Yang Z, Huang X, Zhang J. Topological pressures of a factor map for iterated function systems. AIMS Mathematics, 2025, 10(4): 10124-10139. https://doi.org/10.3934/math.2025461

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 10 September 2024
Revised: 28 February 2025
Accepted: 28 March 2025
Published: 15 April 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)