Bing Li

activity

20242026

collaborators

4 papers

math.CA2026

Dimension drop for intersections of Cantor sets

Lai Jiang, Bing Li, Ruofan Li +1

Let $E \subset R$ be a self-similar set generated by a homogeneous iterated function system $I^¦$ with contraction ratio $I ¨ \in (0, 1)$ . Assume that $I^¦$ satisfies the open s…

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 $I^¼$ be the Cantor-Lebesgue measure on $C$ . A conjecture of Velani states that $I^¼ (W_{2} (I ¨ )) = 0$ if $I ¨ > 1$ and $I^¼ (W_{2} (I ¨ )) = 1$ if $0<Ï\leq…

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…

math.NT2024

Zero-full law for well approximable sets in missing digit sets

Bing Li, Ruofan Li, Yufeng Wu

Let $b \geq 3$ be an integer and $C (b, D)$ be the set of real numbers in $[0, 1]$ whose base $b$ expansion only consists of digits in a set $D \subseteq {0, ..., b - 1}$ . We study how…