Bing Li

activity

20122022

most citedLocal dimensions in Moran constructions

12 citations · 54 across the 26 of their papers we have counts for

collaborators

30 papers

math.NT2022★ 1 cited

Rational numbers in $\times b$ -invariant sets

Bing Li, Ruofan Li, Yufeng Wu

Let $b \geq 2$ be an integer and $S$ be a finite non-empty set of primes not containing divisors of $b$ . For any non-dense set $A \subset [0, 1)$ such that $A \cap Q$ is in…

math.MG2022

Large intersection property for limsup sets in metric space

Zhang-nan Hu, Bing Li, Linqi Yang

We show that limsup sets generated by a sequence of open sets in compact Ahlfors $s$ -regular space $(X, B, μ, ρ)$ belong to the classes of sets with large intersections with…

math.PR2021★ 1 cited

On the hitting probabilities of limsup random fractals

Zhang-nan Hu, Wen-Chiao Cheng, Bing Li

Let $A$ be a limsup random fractal with indices $γ_{1}, γ_{2}$ and $δ$ on $[0, 1]^{d}$ . We determine the hitting probability $P (A \cap G)$ for any analytic set $G$ with the cond…

math.DS2021★ 1 cited

On the Intersection of Dynamical Covering Sets with Fractals

Zhang-nan Hu, Bing Li, Yimin Xiao

Let $(X, B, μ, T, d)$ be a measure-preserving dynamical system with exponentially mixing property, and let $μ$ be an Ahlfors $s$ -regular probability measure. The dynamical c…

math.PR2020★ 4 cited

Random Covering Sets in Metric Space with Exponentially Mixing Property

Zhang-nan Hu, Bing Li

Let ${B (ξ_{n}, r_{n})}_{n \geq 1}$ be a sequence of random balls whose centers ${ξ_{n}}_{n \geq 1}$ is a stationary process, and ${r_{n}}_{n \geq 1}$ is a sequence of positive numbers decreasi…

math.DS2020

Dynamical Borel-Cantelli lemma for recurrence theory

Mumtaz Hussain, Bing Li, David Simmons +1

We study the dynamical Borel-Cantelli lemma for recurrence sets in a measure preserving dynamical system $(X, μ, T)$ with a compatible metric $d$ . We prove that, under some regular…