部分双曲型系统子集的不稳定压力

Pub Date : 2022-06-06 DOI:10.1080/14689367.2022.2086104

Lei Liu, Jinlei Jiao, Xiaoyao Zhou

{"title":"部分双曲型系统子集的不稳定压力","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":"{\"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}","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

摘要

在本文中，我们引入Pesin–Pitskel不稳定压力来研究部分双曲系统中一般子集的动力学复杂性。我们在维数理论中建立了Pesin-Pitskel不稳定压力的一些基本结果，包括压力分布原理，以及在其Pesin-Pitskel不稳定压力和该集合上支持的概率测度的不稳定度量压力之间的任何紧（不一定不变）子集的变分原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Unstable pressure of subsets for partially hyperbolic systems

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助