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arXiv · 1201.5866

A Borel-Cantelli lemma and its applications

Nuno Luzia
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Abstract

We give a version of the Borel-Cantelli lemma. As an application, we prove an almost sure local central limit theorem. As another application, we prove a dynamical Borel-Cantelli lemma for systems with sufficiently fast decay of correlations with respect to Lipschitz observables.

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Nuno Luzia. 2012-01-27. A Borel-Cantelli lemma and its applications. https://arxiv.org/abs/1201.5866

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