8 citations · 13 across the 4 of their papers we have counts for
6 papers · 1 filter
A volume preserving nonuniformly hyperbolic diffeomorphism with arbitrary number of ergodic components and close to the identity
Jianyu Chen, Huyi Hu, Yun Yang
We prove that for any $\ell\in\NN\cup\{\infty\}$ and any $r\in \NN$, every compact smooth Riemannian manifold $\cM$ of $\dim \cM\ge 5$ carries a volume preserving nonuni…
Unstable pressure and u-equilibrium states for partially hyperbolic diffeomorphsims
Huyi Hu, Weisheng Wu, Yujun Zhu
Unstable pressure and u-equilibrium states are introduced and investigated for a partially hyperbolic diffeomorphsim . We define the u-pressure of at a continuou…
Unstable Entropies and Variational Principle for Partially Hyperbolic Diffeomorphisms
Huyi Hu, Yongxia Hua, Weisheng Wu
We study entropies caused by the unstable part of partially hyperbolic systems. We define unstable metric entropy and unstable topological entropy, and establish a variational prin…
Quasi-Stability of Partially Hyperbolic Diffeomorphisms
Huyi Hu, Yujun Zhu
A partially hyperbolic diffeomorphism is structurally quasi-stable if for any diffeomorphism -close to , there is a homeomorphism of such that an…
A hyperbolic diffeomorphism with countably many ergodic components near identity
Huyi Hu, Anna Talitskaya
We construct a smooth hyperbolic volume preserving diffeomorphism on a four dimensional compact Riemannian manifold which has countably many ergodic components and is arbitrarily c…
Absolutely Continuous Invariant Measures for Nonuniformly Expanding Maps
Huyi Hu, Sandro Vaienti
For a large class of nonuniformly expanding maps of , with indifferent fixed points and unbounded distorsion and non necessarily Markovian, we construct an absolutely con…