Unstable metric pressure of partially hyperbolic diffeomorphisms with sub-additive potentials
Unstable metric pressure of partially hyperbolic diffeomorphisms with sub-additive potentials
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DOI：
10.1088/1361-6544/aba966
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发表时间：
2019-06
期刊：
影响因子：
1.7
通讯作者：
Wenda Zhang;Zhiqiang Li;Yunhua Zhou
中科院分区：
文献类型：
--
作者：
Wenda Zhang;Zhiqiang Li;Yunhua Zhou
In this paper, we define and study unstable measure theoretic pressure for C 1-smooth partially hyperbolic diffeomorphisms with sub-additive potentials. We show that this measure theoretic pressure for any ergodic measure equals the corresponding unstable measure theoretic entropy plus the Lyapunov exponent of the potentials with respect to the ergodic measure. On the other hand, we also give other definitions of unstable metric pressure, in terms of Bowen’s picture and the capacity picture. We show that all definitions of unstable metric pressure, including the one defined at the beginning, actually coincide for any ergodic measure.
