Wenxia Li

activity

20152025

most citedHausdorff dimension of univoque sets and Devil's staircase

10 citations · 13 across the 7 of their papers we have counts for

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4 papers · 1 filter

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.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…

math.NT2015★ 10 cited

Hausdorff dimension of univoque sets and Devil's staircase

Vilmos Komornik, Derong Kong, Wenxia Li

We fix a positive integer $M$ , and we consider expansions in arbitrary real bases $q > 1$ over the alphabet ${0, 1, ..., M}$ . We denote by $U_{q}$ the set of real numbers having a uniqu…