Zi-Rui Yu

activity

20222025

collaborators

5 papers

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…

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.DS2022

The structures of pointwise recurrent quasi-graph maps

Ziqi Yu, Suhua Wang, Enhui Shi

We show that a continuous map $f$ from a quasi-graph $G$ to itself is pointwise recurrent if and only if one of the following two statements holds: (1) $X$ is a simple closed curve…

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…