Enhui Shi

activity

20142024

most citedSome ergodic and rigidity properties of discrete Heisenberg group actions

2 citations · 2 across the 9 of their papers we have counts for

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9 papers · 1 filter

math.DS2024

$(ω, α, n)$ -sensitivity and limit sets of zero entropy homeomorphisms on the square

Jiehua Mai, Enhui Shi, Kesong Yan +1

For a homeomorphism $f$ of a compact metric space $X$ and a positive integer $n \geq 2$ , we introduce the notion of $(ω, α, n)$ -sensitivity of $f$ , which describes such a kind of ch…

math.DS2024

The structure of periodic point free distal homeomorphisms on the annulus

Enhui Shi, Hui Xu, Ziqi YU

Let $A$ be an annulus in the plane $R^{2}$ and $g : A \to A$ be a boundary components preserving homeomorphism which is distal and has no periodic points. Then there is…

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…

(ω,α,n)-sensitivity and limit sets of zero entropy homeomorphisms on the square

The structure of periodic point free distal homeomorphisms on the annulus

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

$(ω, α, n)$ -sensitivity and limit sets of zero entropy homeomorphisms on the square

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

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