{"title":"Unstable pressure of subsets for partially hyperbolic systems","authors":"Lei Liu, Jinlei Jiao, Xiaoyao Zhou","doi":"10.1080/14689367.2022.2086104","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the Pesin–Pitskel unstable pressure to study dynamical complexity of general subsets in partially hyperbolic systems. We establish some basic results in dimension theory for Pesin–Pitskel unstable pressure, including a pressure distribution principle, and a variational principle for any compact (not necessarily invariant) subset between its Pesin–Pitskel unstable pressure and unstable metric pressure of probability measures supported on this set.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/14689367.2022.2086104","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, we introduce the Pesin–Pitskel unstable pressure to study dynamical complexity of general subsets in partially hyperbolic systems. We establish some basic results in dimension theory for Pesin–Pitskel unstable pressure, including a pressure distribution principle, and a variational principle for any compact (not necessarily invariant) subset between its Pesin–Pitskel unstable pressure and unstable metric pressure of probability measures supported on this set.
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
