Mario Bessa, Paulo Varandas
Published 2014-07-01, updated 2016-11-30Version 2
In the present paper we give a positive answer to a question posed by Viana on the existence of positive Lyapunov exponents for symplectic cocycles. Actually, we prove that for an open and dense set of Holder symplectic cocycles over a non-uniformly hyperbolic diffeomorphism there are non-zero Lyapunov exponents with respect to any invariant ergodic measure with the local product structure.
Comments: This paper has been withdrawn by the authors due to the incomplete argument when dealing with the "generic center" in Lemma 4.6. This argument is completed in a new paper by the authors together with Jairo Bochi, Michel Cambrainha, Carlos Matheus and Disheng Xu
Random Splitting of Fluid Models: Positive Lyapunov Exponents
Density of positive Lyapunov exponents for symplectic cocycles
Positive Lyapunov Exponents for Quasiperiodic Szego cocycles
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