Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails
Dynamical Systems
2021-07-19 v2 Probability
Abstract
We prove a Berry-Esseen theorem, a local central limit theorem and (local) large and (global) moderate deviations principles for i.i.d. (uniformly) random non-uniformly expanding or hyperbolic maps with exponential first return times. Using existing results the problem is reduced to certain random (Young) tower extensions, which is the main focus of this paper. On the random towers we will obtain our results using contraction properties of random complex equivariant cones with respect to the complex Hilbert projective metric.
Cite
@article{arxiv.2008.06024,
title = {Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails},
author = {Yeor Hafouta},
journal= {arXiv preprint arXiv:2008.06024},
year = {2021}
}
Comments
35 pages, accepted to Ann. Henri Poincar\'e