Jiahao Qiu

collaborators

3 papers

math.DS2026

Zero-Threshold Discrepancies for Multiple Correlation Sequences

Kangbo Ouyang, Jiahao Qiu, Xiangdong Ye

We study the zero-threshold lifting problem for polynomial multiple correlation sequences with respect to the measure-theoretic pro-nilfactor. The structure theory for polynomial m…

math.DS2026

On subsets of integers having dense orbits

Zhuowen Guo, Jiahao Qiu, Hui Xu +1

Let $A \subset N$ . We say $A$ is an $R$ -sequence for a given minimal system $(Y, S)$ if there is $y \in Y$ such that ${S^{n} y : n \in A}$ is dense in $Y$ . Richter asked if $A$ i…

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 $I^µ = (I^µ (1), \dots, I^µ (d)) \in {0, 1}^{d}$ , let $g \cdot I^µ = \prod_{i = 1}^{d} g_{i}^{I^µ (i)}$ . In this paper, it is shown…