Large deviation type estimates for random cocycles
Dynamical Systems
2015-07-13 v1
Abstract
In this paper we prove the continuity of all Lyapunov exponents, as well as the continuity of the Oseledets decomposition, for a class of irreducible cocycles over strongly mixing Markov shifts. Moreover, gaps in the Lyapunov spectrum lead to a H\"older modulus of continuity for these quantities. This result is an application of the abstract continuity theorems obtained in [4], and generalizes a theorem of E. Le Page on the H\"older continuity of the maximal LE for one-parameter families of strongly irreducible and contracting cocycles over a Bernoulli shift. This is a draft of a chapter in our forthcoming research monograph [4].
Cite
@article{arxiv.1507.02969,
title = {Large deviation type estimates for random cocycles},
author = {Silvius Klein and Pedro Duarte},
journal= {arXiv preprint arXiv:1507.02969},
year = {2015}
}