Berry-Esseen theorem and local limit theorem for non uniformly expanding maps
Dynamical Systems
2007-05-23 v2
Abstract
We prove that, in Young towers with sufficiently small tails, the speed in the central limit theorem is O(1/\sqrt{n}), and the local limit theorem holds. This implies the same results for many non uniformly expanding dynamical systems, namely those for which a tower with sufficiently fast returns can be constructed.
Keywords
Cite
@article{arxiv.math/0310391,
title = {Berry-Esseen theorem and local limit theorem for non uniformly expanding maps},
author = {Sebastien Gouezel},
journal= {arXiv preprint arXiv:math/0310391},
year = {2007}
}
Comments
37 pages