A spectral approach for quenched limit theorems for random hyperbolic dynamical systems
Dynamical Systems
2018-12-19 v1
Abstract
We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving [DrFrGTVa18] to quenched random piecewise hyperbolic dynamics including some classes of billiards. For general ergodic sequences of maps in a neighbourhood of a hyperbolic map we prove a quenched large deviations principle (LDP), central limit theorem (CLT), and local central limit theorem (LCLT).
Cite
@article{arxiv.1812.07340,
title = {A spectral approach for quenched limit theorems for random hyperbolic dynamical systems},
author = {D. Dragičević and G. Froyland and C. González-Tokman and S. Vaienti},
journal= {arXiv preprint arXiv:1812.07340},
year = {2018}
}