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Réductibilité presque partout des flots fibrés quasi-périodiques à valeurs dans des groupes compacts
| Content Provider | Semantic Scholar |
|---|---|
| Author | Krikorian, Raphaël |
| Copyright Year | 1999 |
| Abstract | 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( ω1 2π t,…, ωd 2π t) , 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]. |
| Starting Page | 187 |
| Ending Page | 240 |
| Page Count | 54 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/S0012-9593(99)80014-7 |
| Volume Number | 32 |
| Alternate Webpage(s) | http://www.numdam.org/article/ASENS_1999_4_32_2_187_0.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/S0012-9593%2899%2980014-7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
