X. Ye

activity

20082026

most citedMean equicontinuity and mean sensitivity

115 citations · 475 across the 48 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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.DS2023★ 1 cited

A counterexample on polynomial multiple convergence without commutativity

Wen Huang, Song Shao, Xiangdong Ye

It is shown that for polynomials $p_{1}, p_{2} \in Z [t]$ with $deg p_{1}, deg p_{2} \geq 5$ there exist a probability space $(X, X, μ)$ , two ergodic measure…