Enhui Shi

activity

20142025

most citedPeriodic points for amenable group actions on uniquely arcwise connected continua

2 citations · 11 across the 33 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.DS2022

The structures of pointwise recurrent quasi-graph maps

Ziqi Yu, Suhua Wang, Enhui Shi

We show that a continuous map $f$ from a quasi-graph $G$ to itself is pointwise recurrent if and only if one of the following two statements holds: (1) $X$ is a simple closed curve…

math.DS2022

The structures of higher rank lattice actions on dendrites

Enhui Shi, Hui Xu

Let $Γ$ be a higher rank lattice acting on a nondegenerate dendrite $X$ with no infinite order points. We show that there exists a nondegenerate subdendrite $Y$ which is $Γ$ -invari…

math.DS2022

Rigidity for higher rank lattice actions on dendrites

Enhui Shi, Hui Xu

We study the rigidity in the sense of Zimmer for higher rank lattice actions on dendrites and show that: (1) if $Γ$ is a higher rank lattice and $X$ is a nondegenerate dendrite wit…

math.DS2022

The nonexistence of expansive polycyclic group actions on the circle $S^{1}$

Enhui Shi, Suhua Wang, Zhiwen Xie +1

We show that the circle $S^{1}$ admits no expansive polycyclic group actions.

math.DS2022

The structure of pointwise recurrent expansive homeomorphisms

Enhui Shi, Hui Xu, Ziqi Yu

Let $X$ be a compact metric space and let $f : X \to X$ be a homeomorphism on $X$ . We show that if $f$ is both pointwise recurrent and expansive, then the dynamical system $(X…

The structures of pointwise recurrent quasi-graph maps

The structures of higher rank lattice actions on dendrites

Rigidity for higher rank lattice actions on dendrites

The nonexistence of expansive polycyclic group actions on the circle S1

The structure of pointwise recurrent expansive homeomorphisms

The nonexistence of expansive polycyclic group actions on the circle $S^{1}$