Jiahao Qiu

activity

20212024

collaborators

3 papers

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.DS2023

Saturated theorem along cubes for a measure and applications

Jiahao Qiu, Jiaqi Yu

We show that for a minimal system $(X, T)$ , the set of saturated points along cubes with respect to its maximal $\infty$ -step pro-nilfactor $X_{\infty}$ has a full measure. As an appl…

math.DS2021

Independence and almost automorphy of high order

Jiahao Qiu

In this paper, it is shown that for a minimal system $(X, T)$ and $d, k \in N$ , if $(x, x_{i})$ is regionally proximal of order $d$ for $1 \leq i \leq k$ , then $(x,x_1,\ldots,x_k)…