J. Bochi

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20062018

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math.DS2018

Extremal Norms for Fiber Bunched Cocycles

Jairo Bochi, Eduardo Garibaldi

In traditional Ergodic Optimization, one seeks to maximize Birkhoff averages. The most useful tool in this area is the celebrated Mañé Lemma, in its various forms. In this paper, w…

math.DS2013

Generic linear cocycles over a minimal base

Jairo Bochi

We prove that a generic linear cocycle over a minimal base dynamics of finite dimension has the property that the Oseledets splitting with respect to any invariant probability coin…

math.DS2006

Generic expanding maps without absolutely continuous invariant $σ$ -finite measure

Artur Avila, Jairo Bochi

We show that a $C^{1}$ -generic expanding map of the circle has no absolutely continuous invariant $σ$ -finite measure.

Extremal Norms for Fiber Bunched Cocycles

Generic linear cocycles over a minimal base

Generic expanding maps without absolutely continuous invariant σ-finite measure

Generic expanding maps without absolutely continuous invariant $σ$ -finite measure