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Reducibility of ultra-differentiable quasi-periodic cocycles under an adapted arithmetic condition

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorBounemoura, Abed
hal.structure.identifierLaboratoire Jean Alexandre Dieudonné [LJAD]
hal.structure.identifierInstitut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
dc.contributor.authorChavaudret, Claire
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLiang, Shuqing
dc.date.accessioned2020-05-05T09:14:49Z
dc.date.available2020-05-05T09:14:49Z
dc.date.issued2021
dc.identifier.issn0002-9939
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20691
dc.language.isoenen
dc.subjectquasi-periodic
dc.subjectcocycles
dc.subjectLyapunov exponent
dc.subjectrotation number
dc.subjectreducibility
dc.subject.ddc520en
dc.titleReducibility of ultra-differentiable quasi-periodic cocycles under an adapted arithmetic condition
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove a reducibility result for sl(2,R) quasi-periodic cocycles close to a constant elliptic matrix in ultra-differentiable classes, under an adapted arithmetic condition which extends the Brjuno-Rüssmann condition in the analytic case. The proof is based on an elementary property of the fibered rotation number and deals with ultra- differentiable functions with a weighted Fourier norm. We also show that a weaker arithmetic condition is necessary for reducibility, and that it can be compared to a sufficient arithmetic condition.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameProceedings of the American Mathematical Society
dc.relation.isversionofjnlvol151
dc.relation.isversionofjnlissue4
dc.relation.isversionofjnldate2021
dc.relation.isversionofjnlpages2999-3012
dc.relation.isversionofjnlpublisherAmerican Mathematical Society
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
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dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2023-02-20T15:33:28Z
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