ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES, AND AN APPLICATION TO THE REGULARITY OF THE LYAPUNOV EXPONENT - Université de Paris - Faculté des Sciences Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2022

ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES, AND AN APPLICATION TO THE REGULARITY OF THE LYAPUNOV EXPONENT

Résumé

Given a quasiperiodic cocycle in sl(2, R) sufficiently close to a constant, we prove that it is almost-reducible in ultradifferentiable class under an adapted arithmetic condition on the frequency vector. We also give a corollary on the Hölder regularity of the Lyapunov exponent.
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Dates et versions

hal-03652944 , version 1 (27-04-2022)
hal-03652944 , version 2 (24-05-2022)

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Maxime Chatal, Claire Chavaudret. ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES, AND AN APPLICATION TO THE REGULARITY OF THE LYAPUNOV EXPONENT. 2022. ⟨hal-03652944v1⟩
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