{"title":"调和测度的统计双曲性","authors":"Vaibhav Gadre, Luke Jeffreys","doi":"10.1093/imrn/rnaa277","DOIUrl":null,"url":null,"abstract":"We consider harmonic measures that arise from a finitely supported random walk on the mapping class group whose support generates a non-elementary subgroup. We prove that Teichmuller space with the Teichmuller metric is statistically hyperbolic for such a harmonic measure.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"107 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Statistical Hyperbolicity for Harmonic Measure\",\"authors\":\"Vaibhav Gadre, Luke Jeffreys\",\"doi\":\"10.1093/imrn/rnaa277\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider harmonic measures that arise from a finitely supported random walk on the mapping class group whose support generates a non-elementary subgroup. We prove that Teichmuller space with the Teichmuller metric is statistically hyperbolic for such a harmonic measure.\",\"PeriodicalId\":8454,\"journal\":{\"name\":\"arXiv: Geometric Topology\",\"volume\":\"107 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Geometric Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/imrn/rnaa277\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Geometric Topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/imrn/rnaa277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider harmonic measures that arise from a finitely supported random walk on the mapping class group whose support generates a non-elementary subgroup. We prove that Teichmuller space with the Teichmuller metric is statistically hyperbolic for such a harmonic measure.
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