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arXiv · 1510.07885

Entry time statistics to different shrinking sets

Italo Cipriano
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Abstract

We consider $ψ$-mixing dynamical systems $(\mathcal{X},T,B,μ)$ and we find conditions on families of sets $\{\mathcal{U}_n\subset \mathcal{X}:n\in\mathbb{N}\}$ so that $μ(\mathcal{U}_n)τ_n$ tends in law to an exponential random variable, where $τ_n$ is the entry time to $\mathcal{U}_n.$

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Italo Cipriano. 2016-07-06. Entry time statistics to different shrinking sets. https://doi.org/10.1142/s0219493717500241

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