{"title":"Topological Ergodicity and Mixing for a Class of Set-Valued Discrete Dynamical System","authors":"Lidong Wang, Guifeng Huang, Shiu-wai. Tang, Zhizhi Chen","doi":"10.1109/ICNC.2008.527","DOIUrl":null,"url":null,"abstract":"In this paper, we prove that there exists a subsystem of a one-sided symbolic space with two symbols such that the set-valued map on it is topologically ergodic, topologically double ergodic, topologically transitive and topologically weakly mixing.","PeriodicalId":6404,"journal":{"name":"2008 Fourth International Conference on Natural Computation","volume":"19 1","pages":"692-695"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 Fourth International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2008.527","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we prove that there exists a subsystem of a one-sided symbolic space with two symbols such that the set-valued map on it is topologically ergodic, topologically double ergodic, topologically transitive and topologically weakly mixing.
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