Zhiqiang Wang

activity

20192026

most citedOn the sum of squares of middle-third Cantor set

3 citations · 3 across the 4 of their papers we have counts for

collaborators

7 papers

math.DS2026

Asymptotic separation of periodic orbits and fractal dimension

Derong Kong, Zhiqiang Wang, Daohua Yu

For a totally bounded metric dynamical system $(X, d, T)$ we introduce a new critical value $s (X, d, T)$ which quantifies the asymptotic separation of periodic orbits. Mo…

math.NT2025

Rational points in Cantor sets in the complex plane

Wenxia Li, Zhiqiang Wang, Jiuzhou Zhao

Let $K$ be an imaginary quadratic field and let $O_{K}$ be the ring of algebraic integers of $K$ . For $α \in O_{K}$ with $∣ α ∣ > 1$ , define \[ \mathcal{D}_α= \bigcup_…

math.CA2025

On the Eigen-Falconer theorem in $R^{d}$

Wenxia Li, Zhiqiang Wang, Jiayi Xu

In this paper, we study the analogous Erdős similarity conjecture in higher dimensions and generalize the Eigen-Falconer theorem. We show that if $A=\{\boldsymbol{x}_n\}_{n=1}^\inf…

math.CA2023

Fractal Sumset Properties

Derong Kong, Zhiqiang Wang

In this paper we introduce two notions of fractal sumset properties. A compact set $K \subset R^{d}$ is said to have the Hausdorff sumset property (HSP) if for any $\ell\in\ma…

math.CA2022

Weak Convergence and Spectrality of Infinite Convolutions

Wenxia Li, Jun Jie Miao, Zhiqiang Wang

Let ${A_{k}}_{k = 1}^{\infty}$ be a sequence of finite subsets of $R^{d}$ satisfying that $# A_{k} \geq 2$ for all integers $k \geq 1$ . In this paper, we first give a sufficient a…

math.DS2020★ 3 cited

On the sum of squares of middle-third Cantor set

Zhiqiang Wang, Kan Jiang, Wenxia Li +1

Let $C$ be the middle-third Cantor set. In this paper, we show that for every $x \in [0, 4]$ , there exist $x_{1}, x_{2}, x_{3}, x_{4} \in C$ such that $x = x_{1}^{2} + x_{2}^{2} + x_{3}^{2} + x_{4}^{2},$ which a…