Enhui Shi

activity

20182022

most citedDistal higher rank lattice actions on surfaces

2 citations · 6 across the 11 of their papers we have counts for

collaborators

18 papers

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 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.DS2021★ 1 cited

The non-coexistence of distality and expansivity for group actions on infinite compacta

Bingbing Liang, Enhui Shi, Zhiwen Xie +1

Let $X$ be a compact metric space and $G$ a finitely generated group. Suppose $ϕ : G \to Homeo (X)$ is a continuous action. We show that if $ϕ$ is both distal and expansi…

math.DS2021

An alternative for minimal group actions on totally regular curves

Enhui Shi, Hui Xu, Xiangdong Ye

Let $G$ be a countable group and $X$ be a totally regular curve. Suppose that $ϕ : G \to Homeo (X)$ is a minimal action. Then we show an alternative: either the action is…

math.DS2021★ 1 cited

The nonexistence of expansive actions on Suslinian continua by groups of subexponential growth

Bingbing Liang, Enhui Shi, Zhiwen Xie +1

We show that if $G$ is a finitely generated group of subexponential growth and $X$ is a Suslinian continuum, then any action of $G$ on $X$ cannot be expansive.

math.DS2021

A dynamical argument for a Ramsey property

Enhui Shi, Hui Xu

We show by a dynamical argument that there is a positive integer valued function $q$ defined on positive integer set $N$ such that $q ([lo g n] + 1)$ is a super-polynomial wit…