Enhui Shi

activity

20142025

most citedPeriodic points for amenable group actions on uniquely arcwise connected continua

2 citations · 11 across the 33 of their papers we have counts for

collaborators

Showing 2024Show all

8 papers · 1 filter

math.DS2024

Linearizations 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 peri…

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

A new construction of counterexamples to the bounded orbit conjecture

Jiehua Mai, Enhui Shi, Kesong Yan +1

The bounded orbit conjecture says that every homeomorphism on the plane with each of its orbits being bounded must have a fixed point. Brouwer's translation theorem asserts that th…

math.DS2024

Erdős' problem and $(n, \frac{1}{3})$ -separated sets

Enhui Shi, Hui Xu

Inspired by the Erdős' problem in Ramsey theory, we propose a dynamical version of the problem and answer it positively for circle maps.

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.DS2024

Quasi-intermediate value theorem and outflanking arc theorem for plane maps

Jiehua Mai, Enhui Shi, Kesong Yan +1

For a disk $D$ in the plane $R^{2}$ and a plane map $f$ , we give several conditions on the restriction of $f$ to the boundary $\partial D$ of $D$ which imply the existence of…

Linearizations of periodic point free distal homeomorphisms on the annulus

(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

A new construction of counterexamples to the bounded orbit conjecture

Erdős' problem and (n,31​)-separated sets

Can points of bounded orbits surround points of unbounded orbits ?

Some extensions of the Brouwer fixed point theorem

Quasi-intermediate value theorem and outflanking arc theorem for plane maps

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

Erdős' problem and $(n, \frac{1}{3})$ -separated sets