Yubin He

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20222026

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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…

Shrinking parallelepiped targets in beta-dynamical systems

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

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