Xiangdong Ye

activity

20102024

most citedLocal entropy theory for a countable discrete amenable group action

7 citations · 24 across the 11 of their papers we have counts for

collaborators

11 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…

math.DS2023★ 3 cited

Polynomial Furstenberg joinings and its applications

Wen Huang, Song Shao, Xiangdong Ye

In this paper, a polynomial version of Furstenberg joining is introduced and its structure is investigated. Particularly, it is shown that if all polynomials are non-linear, then a…

math.DS2023★ 2 cited

Topological dynamical systems induced by polynomials and combinatorial consequences

Wen Huang, Song Shao, Xiangdong Ye

Let $d \in N$ and $p_{i}$ be an integral polynomial with $p_{i} (0) = 0$ , $1 \leq i \leq d$ . It is shown that if $S$ is piecewise syndetic in $Z$ , then $$\{(m,n)\in{\mathbb Z…

math.DS2022

On structure theorems and non-saturated examples

Qinqi Wu, Hui Xu, Xiangdong Ye

For any minimal system $(X, T)$ and $d \geq 1$ there is an associated minimal system $(N_{d} (X), G_{d} (T))$ , where $G_{d} (T)$ is the group generated by $T\times\c…