Enhui Shi

collaborators

3 papers

math.DS2025

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

Enhui Shi, Hui Xu

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

math.DS2025

A note on the bounded orbit conjecture

Enhui Shi, Ziqi Yu

If $f : R^{2} \to R^{2}$ is an orientation reversing fixed point free homeomorphism on the plane $R^{2}$ with no unbounded orbit, then $f$ has infinitely…

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…

ErdÅs' problem and (n,31​)-separated sets

A note on the bounded orbit conjecture

Linearizations of periodic point free distal homeomorphisms on the annulus

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