Smooth linearization of commuting circle diffeomorphisms
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Publication:731209
DOI10.4007/annals.2009.170.961zbMath1177.37045arXivmath/0605214OpenAlexW2028310036MaRDI QIDQ731209
Bassam Fayad, Konstantin M. Khanin
Publication date: 2 October 2009
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0605214
Dynamical systems involving maps of the circle (37E10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Low-dimensional dynamical systems (37E99)
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Cites Work
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- On commuting circle mappings and simultaneous Diophantine approximations
- A new proof of M. Herman's theorem
- Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
- On \(C^2\)-diffeomorphisms of the circle which are of type III\(_1\).
- Smoothness of conjugacies of diffeomorphisms of the circle with rotations
- Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne
- Local rigidity of actions of higher rank abelian groups and KAM method
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