35 citations · 68 across the 16 of their papers we have counts for
16 papers
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…
The essential coexistence phenomenon in Hamiltonian dynamics
Jianyu Chen, Huyi Hu, Yakov Pesin +1
We construct an example of a Hamiltonian flow on a -dimensional smooth manifold which after being restricted to an energy surface demonstrate…
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…
The spectral gap for transfer operators of torus extensions over expanding maps
Jianyu Chen, Huyi Hu
We study the spectral gap for transfer operators of the skew product given by $F(x,y)=(Tx, y+τ(x) \pmo…
Some ergodic and rigidity properties of discrete Heisenberg group actions
Huyi Hu, Enhui Shi, Zhenqi Jenny Wang
The goal of this paper is to study ergodic and rigidity properties of smooth actions of the discrete Heisenberg group $\H$. We establish the decomposition of the tangent space of a…