Uniformly hyperbolic finite-valued SL(2,ℝ)-cocycles
Artur Avila
Université Pierre et Marie Curie, Paris, FranceJairo Bochi
PUC-Rio, Rio de Janeiro, BrazilJean-Christophe Yoccoz
Collège de France, Paris, France

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.
Cite this article
Artur Avila, Jairo Bochi, Jean-Christophe Yoccoz, Uniformly hyperbolic finite-valued SL(2,ℝ)-cocycles. Comment. Math. Helv. 85 (2010), no. 4, pp. 813–884
DOI 10.4171/CMH/212