Qinqi Wu

activity

20222026

collaborators

5 papers

math.DS2026

Saturation for product systems of polynomials

Qinqi Wu, Jiaqi Yu

Recently, Qiu, Xu, Ye and Yu proved that for product system of finitely many minimal systems, the maximal $\infty$ -step pro-nilfactor of the system is the topological characteristi…

math.DS2025

CF-Nil systems and convergence of two-dimensional ergodic averages

Kangbo Ouyang, Qinqi Wu

A topological dynamical system $(X, T)$ is called CF-Nil( $k$ ) if it is strictly ergodic and the maximal measurable and maximal topological $k$ -step pro-nilfactors coincide as measur…

math.CO2024

Some negative answers to the Bergelson-Hindman's question

Qinqi Wu

Let $p_{1}, \dots, p_{d}$ be integral polynomials vanishing at $0$ . It was asked by Bergelson and Hindman whenever $A$ is large, whether the set $\{(m,n)\in \mathbb{N}^2:m+p_1(n),m+p_2(n…

math.DS2023

Some dynamical properties related to polynomials

Qinqi Wu

Let $d \in Z$ and $p_{i}$ be an integral polynomial with $p_{i} (0) = 0, 1 \leq i \leq d$ . It is shown that if $S$ is thickly syndetic in $Z$ , then $\{(m,n)\in\mathbb{Z}^2:m+…

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…