Berry-Esseen theorem and local limit theorem for non uniformly expanding maps

Details Berry-Esseen theorem and local limit theorem for non uniformly expanding maps Berry-Esseen theorem and local limit theorem for non uniformly expanding maps

2003-10-24

arxiv.org/abs/math/0310391v2

Mathematics

Dynamical Systems

37 pages

Scientific paper

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.

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