Enhui Shi

activity

20142024

most citedSome ergodic and rigidity properties of discrete Heisenberg group actions

2 citations · 2 across the 7 of their papers we have counts for

collaborators

7 papers

math.DS2024

Can points of bounded orbits surround points of unbounded orbits ?

Jiehua Mai, Enhui Shi, Kesong Yan +1

We show a somewhat surprising result: if $E$ is a disk in the plane $R^{2}$ , then there is a homeomorphism $h : R^{2} \to R^{2}$ such that, for every $x\in\pa…

math.DS2024

Some extensions of the Brouwer fixed point theorem

Jiehua Mai, Enhui Shi, Kesong Yan +1

We study the existence of fixed points for continuous maps $f$ from an $n$ -ball $X$ in $R^{n}$ to $R^{n}$ with $n \geq 1$ . We show that $f$ has a fixed point if, for som…

math.DS2023

Structures of $R (f) - P (f)$ for graph maps $f$

Jiehua Mai, Enhui Shi, Kesong Yan +1

Let $G$ be a graph and $f : G \to G$ be a continuous map. We establish a structure theorem which describes the structures of the set $R (f) - P (f)$ , where $R (f)$ and…

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

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…

Can points of bounded orbits surround points of unbounded orbits ?

Some extensions of the Brouwer fixed point theorem

Structures of R(f)−P(f)​ for graph maps f

Groups acting distally and minimally on S2 and RP2

The structures of higher rank lattice actions on dendrites

The structure of pointwise recurrent expansive homeomorphisms

Structures of $R (f) - P (f)$ for graph maps $f$

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