Wenxia Li

activity

20152022

most citedHausdorff dimension of univoque sets and Devil's staircase

10 citations · 13 across the 6 of their papers we have counts for

collaborators

11 papers

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.DS2022

Random β-transformation on fat Sierpinski gasket

Tingyu Zhang, Karma Dajani, Wenxia Li

We consider the iterated function system (IFS) $f_{q} (z) = \frac{z + q}{β}, q \in {(0, 0), (1, 0), (0, 1)} .$ As is well known, for $β = 2$ the attractor, $S_{β}$ ,…

math.NT2022

Bases which admit exactly two expansions

Yi Cai, Wenxia Li

For a positive integer $m$ let $Ω_{m} = {0, 1, \dots, m}$ and \begin{align*} \mathcal B_2(m)=&\left \{q\in(1,m+1]: \text{ $\exists x \in [0, m / (q - 1)]$ has exactly }\right. \\ &\left…

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…

math.NT2019

Univoque bases of real numbers: local dimension, Devil's staircase and isolated points

Derong Kong, Wenxia Li, Fan Lv +2

Given a positive integer $M$ and a real number $x > 0$ , let $U (x)$ be the set of all bases $q \in (1, M + 1]$ for which there exists a unique sequence $(d_{i}) = d_{1} d_{2} \dots$ with…

math.NT2019

Intersections of Siepinski gasket with its translation

Yi Cai, Wenxia Li

Let $E$ be the Sierpinski gasket, i.e., the self-similar set generated by the IFS ${f_{a} (x) = \frac{x + a}{q} : a \in {(0, 0), (0, 1), (1, 0)}}$ . In paper, we provide a desc…