Hui Xu

activity

20022026

most citedOn the "Mandelbrot set" for a pair of linear maps and complex Bernoulli convolutions

23 citations · 27 across the 23 of their papers we have counts for

collaborators

Showing 2022Show all

6 papers · 1 filter

math.DS2022

Disjointness with all minimal systems under group actions

Hui Xu, Xiangdong Ye

Let $G$ be a countable discrete group. We give a necessary and sufficient condition for a transitive $G$ -system to be disjoint with all minimal $G$ -systems, which implies that if a…

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

On structure theorems and non-saturated examples

Qinqi Wu, Hui Xu, Xiangdong Ye

For any minimal system $(X, T)$ and $d \geq 1$ there is an associated minimal system $(N_{d} (X), G_{d} (T))$ , where $G_{d} (T)$ is the group generated by $T\times\c…

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…

Disjointness with all minimal systems under group actions

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

On structure theorems and non-saturated examples

The structure of pointwise recurrent expansive homeomorphisms

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