Wenxia Li

activity

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 2020 · math.DSShow all

2 papers · 2 filters

math.DS2020★ 1 cited

Pointwise densities of homogeneous Cantor measure and critical values

Derong Kong, Wenxia Li, Yuanyuan Yao

Let $N \geq 2$ and $ρ \in (0, 1/ N^{2}]$ . The homogenous Cantor set $E$ is the self-similar set generated by the iterated function system \[ \left\{f_i(x)=ρx+\frac{i(1-ρ)}{N-1}: i=0,1,\ldo…

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…