A Borel-Cantelli lemma and its applications
Probability
2012-01-30 v1 Dynamical Systems
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.
Cite
@article{arxiv.1201.5866,
title = {A Borel-Cantelli lemma and its applications},
author = {Nuno Luzia},
journal= {arXiv preprint arXiv:1201.5866},
year = {2012}
}