School on Hyperbolic Dynamics

# seminar: positive Lyapunov exponents for symplectic linear cocycles over partially hyperbolic diffeomorphisms

speaker: Mauricio Jose Poletti Merlo (Universite paris 13)

abstract: Results of Avila and Xu asserts that SL(2,R) and symplectic cocycles with non-zero Lyapunov exponents are dense in a very general setting. In this work, we are concerned with stably non-zero exponents. We consider symplectic cocycles over partially hyperbolic diffeomorphisms with compact center leaves. We prove that the Lyapunov exponents are non-zero in an open and dense set in the Holder topology.

timetable:
Tue 13 Jun, 16:40 - 17:00, Aula Dini
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