Zhiqiang Wang

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20242026

most citedOn the strong separation condition for self-similar iterated function systems with random translations

1 citations · 1 across the 8 of their papers we have counts for

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math.DS2026

Self-similarity of unions of self-similar sets and their translations

Zhiqiang Wang

In this paper, we explore the self-similarity of unions of self-similar sets and their translations. For $N \in N$ and $0 < β < 1/ (N + 1)$ , let $Γ$ be the self-similar set gen…

math.DS2025

Self-embeddings of homogeneous self-similar sets generated by three maps

Zhiqiang Wang

For $0 < ρ < 1/3$ and $ρ \leq λ \leq 1 - 2 ρ$ , let $E$ be the self-similar set generated by the iterated function system $$Φ= \big\{ φ_1(x) = ρx ,\; φ_2(x) = ρx + λ, \; φ_3(x) = ρx + 1- ρ\b…

math.DS2025

On the reducibility of the 1d quantum harmonic oscillator with a quasi-periodic bounded potential

Emanuele Haus, Zhiqiang Wang

Using the decay along the diagonal of the matrix representing the perturbation with respect to the Hermite basis, we prove a reducibility result in $L^{2} (R)$ for the one-di…

math.DS2025

Open dynamical systems with a moving hole

Derong Kong, Beibei Sun, Zhiqiang Wang

Given an integer $b \geq 3$ , let $T_{b} : [0, 1) \to [0, 1); x \mapsto b x (mod 1)$ be the expanding map on the unit circle. For any $m \in N$ and $ω=ω^0ω^1\ldots\in(\left\{0,1,\ldots,…

math.DS2024★ 1 cited

On the strong separation condition for self-similar iterated function systems with random translations

Simon Baker, Derong Kong, Zhiqiang Wang

Given a self-similar iterated function system $Φ = {ϕ_{i} (x) = ρ_{i} O_{i} x + t_{i}}_{i = 1}^{m}$ acting on $R^{d}$ , we can generate a parameterised family of iterated function systems b…