{"title":"一类集值离散动力系统的拓扑遍历性与混合","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":"{\"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}","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}
Topological Ergodicity and Mixing for a Class of Set-Valued Discrete Dynamical System
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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