Hui Xu

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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.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

Disjointness with all minimal systems under group actions

Hui Xu, Xiangdong Ye

Let $G$ be a countable discrete group. We give a necessary and sufficient condition for a transitive $G$ -system to be disjoint with all minimal $G$ -systems, which implies that if a…

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…

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

Linearizations of periodic point free distal homeomorphisms on the annulus

Disjointness with all minimal systems under group actions

The structure of periodic point free distal homeomorphisms on the annulus

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