Year: 2012
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Luzia, Nuno
Institution: Universidade Federal do Rio de Janeiro
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2950765376