GT Théorie Ergodique et Systèmes Dynamiques
Hölder continuity of the Lyapunov exponents for cocycles over hyperbolic maps
June 2022
Intervenant : Mauricio Poletti
Institution : UFC, Brésil
Heure : 10h15 - 11h45
Lieu : salle 3L8

Given a hyperbolic homeomorphism on a compact metric space, consider the space of linear cocycles over this base dynamics which are Hölder continuous and whose projective actions are partially hyperbolic dynamical systems. We prove that locally near any typical cocycle, the Lyapunov exponents are Hölder continuous functions relative to the uniform topology.

This is a joint work with S.Klein and P.Duarte.

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