Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups

DOI10.24033/MSMF.454zbMath1382.37002arXiv1505.04562OpenAlexW1692614160WikidataQ115228332 ScholiaQ115228332MaRDI QIDQ2831666

Nikolaos Karaliolios

Publication date: 10 November 2016

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04562

zbMATH Keywords

renormalizationKAM theorycocyclecompact semisimple Lie groupreducible cocyclequasiperiodic cocycleFloquet representationfibered dynamics

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) General properties and structure of real Lie groups (22E15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (5)

Differentiable rigidity for quasiperiodic cocycles in compact Lie groups ⋮ Continuous spectrum or measurable reducibility for quasiperiodic cocycles in \(\mathbb T^d\times\mathrm{SU}(2)\) ⋮ Decay estimates for unitary representations with applications to continuous- and discrete-time models ⋮ Fibered rotation vector and hypoellipticity for quasi‐periodic cocycles in compact Lie groups ⋮ Local rigidity of Diophantine translations in higher-dimensional tori

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