Réductibilité presque partout des flots fibrés quasi-périodiques à valeurs dans des groupes compacts

DOI10.1016/S0012-9593(99)80014-7zbMath1098.37510OpenAlexW1982172829MaRDI QIDQ4248067

Raphaël Krikorian

Publication date: 16 August 1999

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1999_4_32_2_187_0

Mathematics Subject Classification ID

Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (11)

ANALYTIC REDUCIBILITY OF RESONANT COCYCLES TO A NORMAL FORM ⋮ Rigidity of reducibility of finitely differentiable quasi-periodic cocycles on \(U(n)\) ⋮ Continuous spectrum or measurable reducibility for quasiperiodic cocycles in \(\mathbb T^d\times\mathrm{SU}(2)\) ⋮ Reducibility results for quasiperiodic cocycles with Liouvillean frequency ⋮ Full measure reducibility for generic one-parameter family of quasi-periodic linear systems ⋮ Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems ⋮ Rigidity of reducibility of Gevrey quasi-periodic cocycles on $U(n)$ ⋮ Stable one-dimensional quasi-periodic cocycles on unitary group ⋮ Reducibility of ultra-differentiable quasiperiodic cocycles under an adapted arithmetic condition ⋮ On local rigidity of reducibility of analytic quasi-periodic cocycles on \(\mathrm{U}(n)\) ⋮ Stability for quasi-periodically perturbed Hill's equations

Cites Work

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• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum
• Diophantine approximations on submanifolds of Euclidean space

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