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- W1982172829 abstract "Let us be given a compact “semi-simple” Lie group G with Lie algebra g, a regular element A ϵ g, a bounded interval Λ ⊂ R and a diophantine vector ω ϵ Rd; then if F ϵ Cω(Rd/Zd,g) is small enough, ω meaning here “real analytic”, for Lebesgue-a.e. λ ϵ Λ, the quasi-periodic system λA + F(ω12πt,…,ωd2πt), with frequency vector ω, is Floquet-reducible modulo some finite covering depending only on the group G. This theorem is a generalization of the one proved in [5]. Soient donnés un groupe de Lie compact semi-simple G d'algèbre de Lie g, un élément régulier A ϵ g, un intervalle borné Λ τ( R et un vecteur diophantien ω ϵ Rd; alors si F ϵ Cω(Rd/Zd,g) est suffisamment petit, ω signifiant ici ⪡ analytique réel ⪢, pour presque tout λ ϵ Λ (au sens de la mesure de Lebesgue), le système quasi-périodique λA + F(ω12πt,…,ωd2πt), de vecteur de fréquence ω, est réductible au sens de Floquet, modulo un revêtement fini ne dépendant que du groupe. Ce théorème est une généralisation de celui prouvé dans [5]." @default.
- W1982172829 created "2016-06-24" @default.
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- W1982172829 date "1999-03-01" @default.
- W1982172829 modified "2023-10-18" @default.
- W1982172829 title "Réductibilité presque partout des flots fibrés quasi-périodiques à valeurs dans des groupes compacts" @default.
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- W1982172829 doi "https://doi.org/10.1016/s0012-9593(99)80014-7" @default.
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