Real almost reducibility of differentiable real quasi-periodic cocycles

We prove that infinitely differentiable almost reducible quasi-periodic cocycles, under a Diophantine condition on the frequency vector, are almost reducible to a sequence of real constant cocycles with a sequence of real conjugations, up to a period doubling.

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Veröffentlicht in:arXiv.org 2024-11
Hauptverfasser: Chatal, Maxime, Chavaudret, Claire, Eliasson, L Hakan
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Chavaudret, Claire
Eliasson, L Hakan
description We prove that infinitely differentiable almost reducible quasi-periodic cocycles, under a Diophantine condition on the frequency vector, are almost reducible to a sequence of real constant cocycles with a sequence of real conjugations, up to a period doubling.
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title Real almost reducibility of differentiable real quasi-periodic cocycles
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