Bing Li

most citedDiophantine approximation and the Mass Transference Principle: incorporating the unbounded setup

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2024

Shrinking targets versus recurrence: the quantitative theory

Jason Levesley, Bing Li, David Simmons +1

Let $X = [0, 1]$ , and let $T : X \to X$ be an expanding piecewise linear map sending each interval of linearity to $[0, 1]$ . For $ψ : N \to R_{\geq 0}$ , $x \in X$ , and $N\in\…

math.NT2024★ 1 cited

Diophantine approximation and the Mass Transference Principle: incorporating the unbounded setup

Bing Li, Lingmin Liao, Baowei Wnag +2

We develop the Mass Transference Principle for rectangles of Wang \& Wu (Math. Ann. 2021) to incorporate the `unbounded' setup; that is, when along some direction the lower order (…

math.NT2024

Multiplicative Diophantine approximation with restricted denominators

Bing Li, Ruofan Li, Yufeng Wu

Let ${a_{n}}_{n \in N}$ , ${b_{n}}_{n \in N}$ be two infinite subsets of positive integers and $ψ : N \to R_{> 0}$ be a positive function. We completely…

math.DS2024

Hausdorff dimension of recurrence sets for matrix transformations of tori

Zhangnan Hu, Bing Li

Let $T : T^{d} \to T^{d}$ , defined by $T x = A x (mod 1)$ , where $A$ is a $d \times d$ integer matrix with eigenvalues $1 < ∣ λ_{1} ∣ \leq ∣ λ_{2} ∣ \leq \dots \leq ∣ λ_{d} ∣$ . We investigat…