Memory effects and -convergence: A time dependent case.
Toader, Anca-Maria (1999)
Journal of Convex Analysis
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Toader, Anca-Maria (1999)
Journal of Convex Analysis
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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 close to a completely integrable one and a suitable Cantor set defined by a Diophantine condition, we find a family , of KAM invariant tori of with frequencies which is Gevrey...
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