238 citations · 725 across the 31 of their papers we have counts for
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math.DS2008★ 1 cited
Nonuniform Center Bunching and the Genericity of Ergodicity among Partially Hyperbolic Symplectomorphisms
Artur Avila, Jairo Bochi, Amie Wilkinson
We introduce the notion of nonuniform center bunching for partially hyperbolic diffeomorphims, and extend previous results by Burns--Wilkinson and Avila--Santamaria--Viana. Combini…
math.DS2008★ 38 cited
Some Characterizations of Domination
Jairo Bochi, Nicolas Gourmelon
We show that a cocycle has a dominated splitting if and only if there is a uniform exponential gap between singular values of its iterates. Then we consider sets in $GL(d,\math…
math.DS2008★ 45 cited
Uniformly Hyperbolic Finite-Valued SL(2,R)-Cocycles
Artur Avila, Jairo Bochi, Jean-Christophe Yoccoz
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,…