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20112025
most citedHausdorff dimension of unique beta expansions

46 citations · 140 across the 27 of their papers we have counts for

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Showing 2022Show all

7 papers · 1 filter

math.CA2022★ 3 cited

The Spectrality of Infinite Convolutions in

Wenxia Li, Zhiqiang Wang

In this paper, we study the spectrality of infinite convolutions in , where the spectrality means the corresponding square integrable function space admits a family o…

math.CA2022★ 4 cited

Spectrality of Infinite Convolutions and Random Convolutions

Wenxia Li, Jun Jie Miao, Zhiqiang Wang

In this paper, we explore spectral measures whose square integrable spaces admit a family of exponential functions as an orthonormal basis.Our approach involves utilizing the integ…

math.CA2022

Weak Convergence and Spectrality of Infinite Convolutions

Wenxia Li, Jun Jie Miao, Zhiqiang Wang

Let be a sequence of finite subsets of satisfying that for all integers . In this paper, we first give a sufficient a…

math.NT2022★ 4 cited

Rational Points in Translations of The Cantor Set

Kan Jiang, Derong Kong, Wenxia Li +1

Given two coprime integers and , let consist of all rational numbers which have a finite -ary expansion, and let $$ K(q, \mathcal{A})=\bigg\{…

math.CA2022★ 16 cited

Spectrality of random convolutions generated by finitely many Hadamard triples

Wenxia Li, Jun Jie Miao, Zhiqiang Wang

Let be finitely many Hadamard triples in . Given a sequence of positive integers and $ω=(ω_k)_{k=1}^\infty \…

math.DS2022

Random β-transformation on fat Sierpinski gasket

Tingyu Zhang, Karma Dajani, Wenxia Li

We consider the iterated function system (IFS) As is well known, for the attractor, ,…

math.NT2022

Bases which admit exactly two expansions

Yi Cai, Wenxia Li

For a positive integer let and \begin{align*} \mathcal B_2(m)=&\left \{q\in(1,m+1]: \text{ has exactly }\right. \\ &\left…