In this paper,we study the pressure of C^(1)-smooth partially hyperbolic diffeomorphisms with sup-additive potentials.We give several definitions of the so called unstable(measure theoretic)pressure in terms of Bowen...In this paper,we study the pressure of C^(1)-smooth partially hyperbolic diffeomorphisms with sup-additive potentials.We give several definitions of the so called unstable(measure theoretic)pressure in terms of Bowen’s picture and the capacity picture.We show that all such unstable metric pressures of a given ergodic measure equals the corresponding unstable measure theoretic entropy plus the Lyapunov exponent of the potentials with respect to the ergodic measure.展开更多
基金supported by a NSFC grant(11501066)the Department of Education in Chongqing City(KJQN201900724 and KJQN202100722)in Chongqing Jiaotong Universitysupported by the Chongqing Key Laboratory of Analytic Mathematics and Applications。
文摘In this paper,we study the pressure of C^(1)-smooth partially hyperbolic diffeomorphisms with sup-additive potentials.We give several definitions of the so called unstable(measure theoretic)pressure in terms of Bowen’s picture and the capacity picture.We show that all such unstable metric pressures of a given ergodic measure equals the corresponding unstable measure theoretic entropy plus the Lyapunov exponent of the potentials with respect to the ergodic measure.
