4 papers
Subsystems with shadowing property for -actions
Lin Wang, Xinsheng Wang, Yujun Zhu
In this paper, subsystems with shadowing property for -actions are investigated. Let be a continuous -action on a compact metric space . We i…
Unstable Entropy and Unstable Pressure for Partially Hyperbolic Endomorphisms
Xinsheng Wang, Weisheng Wu, Yujun Zhu
In this paper, unstable metric entropy, unstable topological entropy and unstable pressure for partially hyperbolic endomorphisms are introduced and investigated. A version of Shan…
Unstable Entropy and Unstable Pressure for Random Partially Hyperbolic Dynamical Systems
Xinsheng Wang, Weisheng Wu, Yujun Zhu
Let be a random partially hyperbolic dynamical system. For the unstable foliation, the corresponding unstable metric entropy, unstable topological entropy and u…
Formula of Entropy along Unstable Foliations for Diffeomorphisms with Dominated Splitting
Xinsheng Wang, Lin Wang, Yujun Zhu
Metric entropies along a hierarchy of unstable foliations are investigated for diffeomorphisms with dominated splitting. The analogues of Ruelle's inequality and Pesin's form…