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math.PR2014
Quantitative recurrence results for random walks
Nuno Luzia
First, we prove a \emph{local almost sure central limit theorem} for lattice random walks in the plane. The corresponding version for random walks in the line was considered by the…
math.PR2012★ 1 cited
A Borel-Cantelli lemma and its applications
Nuno Luzia
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 l…