238 citations · 725 across the 31 of their papers we have counts for
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math.DS2006★ 1 cited
A uniform dichotomy for generic cocycles over a minimal base
Artur Avila, Jairo Bochi
We consider continuous -cocycles over a minimal homeomorphism of a compact set of finite dimension. We show that the generic cocycle either is uniformly hyperbolic or…
math.DS2006
Generic expanding maps without absolutely continuous invariant -finite measure
Artur Avila, Jairo Bochi
We show that a -generic expanding map of the circle has no absolutely continuous invariant -finite measure.