Bing Li

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math.NT2026

Metric results for dyadic approximation on the middle-third Cantor set

Xin-Rong Dai, Bing Li, Bo Wang +1

Let $C$ be the middle-third Cantor set and $μ$ be the Cantor-Lebesgue measure on $C$ . A conjecture of Velani states that $μ (W_{2} (τ)) = 0$ if $τ > 1$ and $μ (W_{2} (τ)) = 1$ if $0 < τ \leq 1$ , wh…

math.NT2025

Intersecting well approximable and missing digit sets

Bing Li, Sanju Velani, Bo Wang

Let $b \geq 3$ be an integer and $C (b, D)$ be the set of real numbers in $[0, 1]$ whose $b$ -ary expansion consists of digits restricted to a given set $D \subseteq {0, \dots, b - 1}$ . Giv…