Sub-additive Unstable Topological Pressure of Diffeomorphisms

作     者：Wen Da ZHANG Zhi Qiang LI Yun Hua ZHOU Wen Da ZHANG;Zhi Qiang LI;Yun Hua ZHOU

作者机构：College of Mathematics and StatisticsChongqing Jiaotong UniversityChongqing 400074P.R.China College of Mathematics and StatisticsChongqing UniversityChongqing 401331P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第12期

页      面：2285-2298页

核心收录：

学科分类：07[理学] 0701[理学-数学] 

基　　金：supported by NSFC (Grant No. 11501066) Department of Education in Chongqing City (Grant Nos. KJQN201900724 and KJQN202100722) supported by Natural Science Foundation of Chongqing,China (Grant No. cstc2021jcyj-msxmX1042) Chongqing Key Laboratory of Analytic Mathematics and Applications in Chongqing University supported by NSFC(Grant Nos. 11871120 and 11671093) 

主　　题：Partially hyperbolic systems unstable topological pressure sub-additive potentials 

摘      要：In this paper,we study unstable topological pressure for C^(1)-smooth partially hyperbolic diffeomorphisms with sub-additive potentials.Moreover,without any additional assumption,we have established the expected variational principle which connects this unstable topological pressure and the unstable measure theoretic entropy,as well as the corresponding Lyapunov exponent.