Zhang-nan Hu

activity

20202026

most citedRandom Covering Sets in Metric Space with Exponentially Mixing Property

4 citations · 6 across the 5 of their papers we have counts for

collaborators

5 papers

math.PR2026

A note on uniform random covering problems in metric spaces

Zhang-nan Hu, Bing Li, YiJing Wang

In this paper, we study the uniform random covering problem in general metric space $(X, d)$ . Let $ω = (ω_{n})_{n \in N}$ be a sequence of independent identically distributed rand…

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…