Xiangdong Ye

collaborators

3 papers

math.DS2024

Completely Li--Yorke chaotic homeomorphisms with positive entropy

Zijie Lin, Xiangdong Ye

It is an open problem whether a homeomorphism on a compact metric space satisfying that each proper pair is either positively or negatively Li--Yorke, called completely Li--Yorke c…

math.DS2024

Veech's theorem of higher order

Jiahao Qiu, Xiangdong Ye

For an abelian group $G$ , $g = (g_{1}, \dots, g_{d}) \in G^{d}$ and $ε = (ε (1), \dots, ε (d)) \in {0, 1}^{d}$ , let $g \cdot ε = \prod_{i = 1}^{d} g_{i}^{ε (i)}$ . In this paper, it is shown that…

math.DS2024

Multiple recurrence without commutativity

Wen Huang, Song Shao, Xiangdong Ye

We study multiple recurrence without commutativity in this paper. We show that for any two homeomorphisms $T, S : X \to X$ with $(X, T)$ and $(X, S)$ being minimal, there is a r…