Hui Xu

activity

20182022

most citedThe nonexistence of expansive actions on Suslinian continua by groups of subexponential growth

1 citations · 3 across the 7 of their papers we have counts for

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11 papers · 1 filter

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…

math.DS2021★ 1 cited

Sensitive group actions on regular curves of almost $\leq n$ order

Suhua Wang, Enhui Shi, Hui Xu +1

Let $X$ be a regular curve and $n$ be a positive integer such that for every nonempty open set $U \subset X$ , there is a nonempty connected open set $V \subset U$ with the cardinalit…

The nonexistence of expansive polycyclic group actions on the circle S1

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

An alternative for minimal group actions on totally regular curves

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

A dynamical argument for a Ramsey property

Sensitive group actions on regular curves of almost ≤n order

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

Sensitive group actions on regular curves of almost $\leq n$ order