{"title":"Quantitative recurrence properties in the historic set for symbolic systems","authors":"Cao Zhao","doi":"10.1080/14689367.2020.1855416","DOIUrl":null,"url":null,"abstract":"Let be a topologically mixing subshift of finite type on an alphabet consisting of m symbols. Let be a continuous function. For a positive function and a continuous positive function , define the sets of recurrence points and In this paper, we give quantitative estimates of the sets of recurrence points, that is, can be expressed by ψ and is the solution of the Bowen equation of topological pressure.","PeriodicalId":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2020-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/14689367.2020.1855416","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamical Systems-An International Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/14689367.2020.1855416","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Let be a topologically mixing subshift of finite type on an alphabet consisting of m symbols. Let be a continuous function. For a positive function and a continuous positive function , define the sets of recurrence points and In this paper, we give quantitative estimates of the sets of recurrence points, that is, can be expressed by ψ and is the solution of the Bowen equation of topological pressure.
期刊介绍：
Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal:
•Differential equations
•Bifurcation theory
•Hamiltonian and Lagrangian dynamics
•Hyperbolic dynamics
•Ergodic theory
•Topological and smooth dynamics
•Random dynamical systems
•Applications in technology, engineering and natural and life sciences
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