Yubin He

activity

20222026

collaborators

7 papers

math.NT2026

Hausdorff dimension for exactly approximable matrices

Yubin He, Bixuan Li, Baowei Wang

We establish the Hausdorff dimension for exactly approximable matrices for all dimensions, including the inhomogeneous case. More precisely, let $ψ : N \to (0, \infty)$ be a non-increa…

math.NT2026

Hausdorff dimension of $τ$ -approximable points on self-similar sets in $R^{d}$

Yubin He, Lingmin Liao

Let $d \geq 1$ . Let $K \subset R^{d}$ be a non-singleton self-similar set generated by a finite strongly irreducible iterated function system satisfying the open set condition,…

math.NT2026

Jarník-type theorem for self-similar sets

Yubin He, Lingmin Liao

Let $K \subset R^{d}$ be a compact subset equipped with a $δ$ -Ahlfors regular measure $μ$ . For any $τ > 1/ d$ and any ``inhomogeneous'' vector $θ \in R^{d}$ , let $W…

math.DS2024

Quantitative recurrence properties and strong dynamical Borel-Cantelli lemma for dynamical systems with exponential decay of correlations

Yubin He

Let $([0, 1]^{d}, T, μ)$ be a measure-preserving dynamical system so that the correlations decay exponentially for Hölder continuous functions. Suppose that $μ$ is absolutely continu…

math.DS2023

Shrinking parallelepiped targets in beta-dynamical systems

Yubin He

For $β > 1$ let $T_{β}$ be the $β$ -transformation on $[0, 1)$ . Let $β_{1}, \dots, β_{d} > 1$ and let $P = {P_{n}}_{n \geq 1}$ be a sequence of parallelepipeds in $[0, 1)^{d}$ . Defi…

math.DS2023

Quantitative recurrence properties for piecewise expanding maps on $[0, 1]^{d}$

Yubin He, Lingmin Liao

Let $T : [0, 1]^{d} \to [0, 1]^{d}$ be a piecewise expanding map with an absolutely continuous invariant measure $μ$ . Let ${H_{n}}$ be a sequence of hyperrectangles or hyperboloid…

math.DS2022

Uniform approximation problems of expanding Markov maps

Yubin He, Lingmin Liao

Let $T : [0, 1] \to [0, 1]$ be an expanding Markov map with a finite partition. Let $μ_{ϕ}$ be the invariant Gibbs measure associated with a Hölder continuous potential $ϕ$ . In this pa…

Hausdorff dimension for exactly approximable matrices

Hausdorff dimension of τ-approximable points on self-similar sets in Rd

Jarník-type theorem for self-similar sets

Quantitative recurrence properties and strong dynamical Borel-Cantelli lemma for dynamical systems with exponential decay of correlations

Shrinking parallelepiped targets in beta-dynamical systems

Quantitative recurrence properties for piecewise expanding maps on [0,1]d

Uniform approximation problems of expanding Markov maps

Hausdorff dimension of $τ$ -approximable points on self-similar sets in $R^{d}$

Quantitative recurrence properties for piecewise expanding maps on $[0, 1]^{d}$