Displaying similar documents to “Heights of spin characters in characteristic 2.”

KAM Tori and Quantum Birkhoff Normal Forms

Georgi Popov (1999-2000)

Séminaire Équations aux dérivées partielles

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This talk is concerned with the Kolmogorov-Arnold-Moser (KAM) theorem in Gevrey classes for analytic hamiltonians, the effective stability around the corresponding KAM tori, and the semi-classical asymptotics for Schrödinger operators with exponentially small error terms. Given a real analytic Hamiltonian H close to a completely integrable one and a suitable Cantor set Θ defined by a Diophantine condition, we find a family Λ ω , ω ∈ Θ , of KAM invariant tori of H with frequencies ω ∈ Θ which is Gevrey...