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arXiv · 1407.0336

Positive Lyapunov exponents for symplectic cocycles

Mario Bessa·Paulo Varandas
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Abstract

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.

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Mario Bessa, Paulo Varandas. 2014-07-01. Positive Lyapunov exponents for symplectic cocycles. https://arxiv.org/abs/1407.0336

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