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 varia...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.展开更多
基金supported by NSFC (Grant No. 11501066)Department of Education in Chongqing City (Grant Nos. KJQN201900724 and KJQN202100722)+2 种基金supported by Natural Science Foundation of Chongqing,China (Grant No. cstc2021jcyj-msxmX1042)Chongqing Key Laboratory of Analytic Mathematics and Applications in Chongqing Universitysupported by NSFC(Grant Nos. 11871120 and 11671093)
文摘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.
