Yubin He

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20222026

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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…

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

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