Yubin He

collaborators

3 papers

math.NT2026

JarnÃk-type theorem for self-similar sets

Yubin He, Lingmin Liao

Let $K \subset R^{d}$ be a compact subset equipped with a $I^´$ -Ahlfors regular measure $I^¼$ . For any $I ¨ > 1/ d$ and any ``inhomogeneous'' vector $I^¸ \in R^{d}$ , le…

math.DS2024

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

Yubin He

Let $([0, 1]^{d}, T, I^¼)$ be a measure-preserving dynamical system so that the correlations decay exponentially for HÃ¶lder continuous functions. Suppose that $I^¼$ is absolutely cont…

math.DS2024

Shrinking parallelepiped targets in beta-dynamical systems

Yubin He

For $I^^{2} > 1$ let $T_{I^}^{2}$ be the $I^^{2}$ -transformation on $[0, 1)$ . Let $I^_{1}^{2}, \dots, I^_{d}^{2} > 1$ and let $P = {P_{n}}_{n \geq 1}$ be a sequence of parallelepipeds in $[0, 1)^{d}$ .…

JarnÃ­k-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

JarnÃk-type theorem for self-similar sets