Zhiqiang Wang

activity

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

collaborators

Showing math.CAShow all

3 papers · 1 filter

math.CA2025

On infinite scalings of the canonical spectrum for self-similar spectral measures

Zhiqiang Wang

Let $(μ, Λ)$ be the canonical spectral pair generated by a Hadamard triple $(N, B, L)$ in $R$ with $0 \in B \cap L$ , which means that the family $\big\{ e_λ(x)=e^{2π\mathrm{i…

math.CA2025

On the intersection of Cantor set with the unit circle and some sequences

Kan Jiang, Derong Kong, Wenxia Li +1

For $λ \in (0, 1/2)$ let $K_{λ}$ be the self-similar set in $R$ generated by the iterated function system ${f_{0} (x) = λ x, f_{1} (x) = λ x + 1 - λ}$ . In this paper, we investigate the inte…

math.CA2025

Rational points in Cantor sets and spectral eigenvalue problem for self-similar spectral measures

Derong Kong, Kun Li, Zhiqiang Wang

Given $q \in N_{\geq 3}$ and a finite set $A \subset Q$ , let $K (q, A) = {i = 1 \sum \infty \frac{a _{i}}{q ^{i}} : a_{i} \in A \forall i \in N} .$ For…