Annealed and quenched limit theorems for random expanding dynamical systems
Dynamical Systems
2014-07-18 v2
Abstract
In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit theorem, a large deviation principle, a local limit theorem, and an almost sure invariance principle. We also discuss the quenched central limit theorem, dynamical Borel-Cantelli lemmas, Erd\"os-R\'enyi laws and concentration inequalities.
Cite
@article{arxiv.1310.4359,
title = {Annealed and quenched limit theorems for random expanding dynamical systems},
author = {Romain Aimino and Matthew Nicol and Sandro Vaienti},
journal= {arXiv preprint arXiv:1310.4359},
year = {2014}
}
Comments
Appeared online in Probability Theory and Related Fields