Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles
Dynamical Systems
2011-02-25 v1
Abstract
We consider finite families of SL(2,R) matrices whose products display uniform exponential growth. These form open subsets of (SL(2,R))^N, and we study their components, boundary, and complement. We also consider the more general situation where the allowed products of matrices satisfy a Markovian rule.
Keywords
Cite
@article{arxiv.0808.0133,
title = {Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles},
author = {Artur Avila and Jairo Bochi and Jean-Christophe Yoccoz},
journal= {arXiv preprint arXiv:0808.0133},
year = {2011}
}
Comments
64 pages, 16 figures