{"title":"Topological entropy pairs for an iterated function system","authors":"Huoyun Wang , Xing Liao , Qing Liu , Peng Zeng","doi":"10.1016/j.jmaa.2020.124076","DOIUrl":null,"url":null,"abstract":"<div><p><span>In this paper for an iterated function system we introduce a concept of </span>topological entropy, localizing the concept of the topological entropy, and the concept of entropy pair is introduced. Some properties they are given.</p></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"488 2","pages":"Article 124076"},"PeriodicalIF":1.2000,"publicationDate":"2020-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.jmaa.2020.124076","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X20302389","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper for an iterated function system we introduce a concept of topological entropy, localizing the concept of the topological entropy, and the concept of entropy pair is introduced. Some properties they are given.
期刊介绍：
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
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• Real and harmonic analysis
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• Control and Optimization
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