{"title":"群作用的测度论等连续性和刚性","authors":"Jiandong Yin, Shaoting Xie","doi":"10.1080/14689367.2024.2324020","DOIUrl":null,"url":null,"abstract":"Let (G,X) be a G-system, which means that X is a compact Hausdorff space and G is an infinite topological group continuously acting on X, and let μ be a G-invariant measure of (G,X). In this paper,...","PeriodicalId":501586,"journal":{"name":"Dynamical Systems","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Measure-theoretic equicontinuity and rigidity of group actions\",\"authors\":\"Jiandong Yin, Shaoting Xie\",\"doi\":\"10.1080/14689367.2024.2324020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let (G,X) be a G-system, which means that X is a compact Hausdorff space and G is an infinite topological group continuously acting on X, and let μ be a G-invariant measure of (G,X). In this paper,...\",\"PeriodicalId\":501586,\"journal\":{\"name\":\"Dynamical Systems\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dynamical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/14689367.2024.2324020\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/14689367.2024.2324020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
设 (G,X) 是一个 G 系统，即 X 是一个紧凑的 Hausdorff 空间，G 是一个连续作用于 X 的无限拓扑群，并设 μ 是 (G,X) 的 G 不变度量。在本文中，...
Measure-theoretic equicontinuity and rigidity of group actions
Let (G,X) be a G-system, which means that X is a compact Hausdorff space and G is an infinite topological group continuously acting on X, and let μ be a G-invariant measure of (G,X). In this paper,...
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