2014/07/01 by Mário Bessa, Mario Bessa, Bessa, Mario +2
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #advanced mathematical theories #math.DS
paper · pdf · doi:10.48550/arxiv.1407.0336
This paper has been withdrawn by the authors due to the incomplete argument when dealing with the "generic center" in Lemma 4.6.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
openalex publication_date 2014/07/01 · arxiv created 2017/06/28 · arxiv updated 2017/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.