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arXiv · 2204.13306

Almost reducibility of quasiperiodic sl(2, R)-cocycles in ultradifferentiable classes

Maxime Chatal·Claire Chavaudret
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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. We also give a corollary on the H{\"o}lder regularity of the Lyapunov exponent.

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Maxime Chatal, Claire Chavaudret. 2022-04-28. Almost reducibility of quasiperiodic sl(2, R)-cocycles in ultradifferentiable classes. https://arxiv.org/abs/2204.13306

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