hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
dc.contributor.author | Bounemoura, Abed | |
hal.structure.identifier | Laboratoire Jean Alexandre Dieudonné [LJAD] | |
hal.structure.identifier | Institut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)] | |
dc.contributor.author | Chavaudret, Claire | |
hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
dc.contributor.author | Liang, Shuqing | |
dc.date.accessioned | 2020-05-05T09:14:49Z | |
dc.date.available | 2020-05-05T09:14:49Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0002-9939 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/20691 | |
dc.language.iso | en | en |
dc.subject | quasi-periodic | |
dc.subject | cocycles | |
dc.subject | Lyapunov exponent | |
dc.subject | rotation number | |
dc.subject | reducibility | |
dc.subject.ddc | 520 | en |
dc.title | Reducibility of ultra-differentiable quasi-periodic cocycles under an adapted arithmetic condition | |
dc.type | Article accepté pour publication ou publié | |
dc.description.abstracten | We 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.city | Paris | en |
dc.relation.isversionofjnlname | Proceedings of the American Mathematical Society | |
dc.relation.isversionofjnlvol | 151 | |
dc.relation.isversionofjnlissue | 4 | |
dc.relation.isversionofjnldate | 2021 | |
dc.relation.isversionofjnlpages | 2999-3012 | |
dc.relation.isversionofjnlpublisher | American Mathematical Society | |
dc.subject.ddclabel | Sciences connexes (physique, astrophysique) | en |
dc.description.ssrncandidate | non | |
dc.description.halcandidate | non | |
dc.description.readership | recherche | |
dc.description.audience | International | |
dc.relation.Isversionofjnlpeerreviewed | oui | |
dc.date.updated | 2023-02-20T15:33:28Z | |
hal.author.function | aut | |
hal.author.function | aut | |
hal.author.function | aut | |