Hui Xu

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math.DS2023

Groups acting distally and minimally on $S^{2}$ and $RP^{2}$

Enhui Shi, Hui Xu

Let $X$ be the $2$ -sphere $S^{2}$ or the real projective plane $RP^{2}$ . We show that if $Γ$ is a finitely generated group acting minimally and distally on $X$ , then…

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

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…

Groups acting distally and minimally on S2 and RP2

The structures of higher rank lattice actions on dendrites

On structure theorems and non-saturated examples

The structure of pointwise recurrent expansive homeomorphisms

Groups acting distally and minimally on $S^{2}$ and $RP^{2}$