{"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":50564,"journal":{"name":"Dynamical Systems-An International Journal","volume":"37 1","pages":"564 - 577"},"PeriodicalIF":0.5000,"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\":50564,\"journal\":{\"name\":\"Dynamical Systems-An International Journal\",\"volume\":\"37 1\",\"pages\":\"564 - 577\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-06-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dynamical Systems-An International Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/14689367.2022.2086104\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dynamical Systems-An International Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/14689367.2022.2086104","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
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.
期刊介绍:
Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal:
•Differential equations
•Bifurcation theory
•Hamiltonian and Lagrangian dynamics
•Hyperbolic dynamics
•Ergodic theory
•Topological and smooth dynamics
•Random dynamical systems
•Applications in technology, engineering and natural and life sciences