ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES - Université de Paris - Faculté des Sciences Access content directly
Journal Articles Journal of Differential Equations Year : 2023

ALMOST REDUCIBILITY OF QUASIPERIODIC SL(2, R)-COCYCLES IN ULTRADIFFERENTIABLE CLASSES

Abstract

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.
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Dates and 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. Journal of Differential Equations, 2023, 356, pp.243-288. ⟨10.1016/j.jde.2023.01.041⟩. ⟨hal-03652944v2⟩
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