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Topological pressures of a factor map for iterated function systems

dc.contributor.authorZhongxuan Yang
dc.contributor.authorXiaojun Huang
dc.contributor.authorJiajun Zhang
dc.contributor.otherCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
dc.contributor.otherCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
dc.contributor.otherCollege of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
dc.date.accessioned2025-08-27T02:32:08Z
dc.date.accessioned2025-10-08T09:25:25Z
dc.date.available2025-10-08T09:25:25Z
dc.date.issued01-04-2025
dc.identifier.urihttps://www.aimspress.com/article/doi/10.3934/math.2025461
dc.identifier.urihttp://digilib.fisipol.ugm.ac.id/repo/handle/15717717/40327
dc.description.abstractIn 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.
dc.language.isoEN
dc.publisherAIMS Press
dc.subject.lccMathematics
dc.titleTopological pressures of a factor map for iterated function systems
dc.typeArticle
dc.description.keywordsiterated function system
dc.description.keywordstopological pressure
dc.description.keywordsbiś's topological entropy
dc.description.keywordsfactor map
dc.description.pages10124-10139
dc.description.doi10.3934/math.2025461
dc.title.journalAIMS Mathematics
dc.identifier.e-issn2473-6988
dc.identifier.oaioai:doaj.org/journal:adc52733f8b44094b6c36ad2504d602d
dc.journal.infoVolume 10, Issue 4


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