Uniformly hyperbolic finite-valued -cocycles

  • Artur Avila

    Université Pierre et Marie Curie, Paris, France
  • Jairo Bochi

    PUC-Rio, Rio de Janeiro, Brazil
  • Jean-Christophe Yoccoz

    Collège de France, Paris, France


We consider finite families of matrices whose products display uniform exponential growth. These form open subsets of , 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 -cocycles. Comment. Math. Helv. 85 (2010), no. 4, pp. 813–884

DOI 10.4171/CMH/212