Stably positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms
classification
🧮 math.DS
keywords
cocyclesdiffeomorphismsexponentshyperboliclyapunovpartiallysymplecticanosov
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We consider symplectic cocycles over two classes of partially hyperbolic diffeomorphisms: having compact center leaves and time one maps of Anosov flows. We prove that the Lyapunov exponents are non-zero in an open and dense set in the H\"older topology.
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