most citedA Renormalization Proof of the KAM Theorem for Non-Analytic Perturbations

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math-ph2007

KAM Theorem and Renormalization Group

E. De Simone, A. Kupiainen

We give an elementary proof of the analytic KAM theorem by reducing it to a Picard iteration of a PDE with quadratic nonlinearity, the so called Polchinski renormalization group eq…

math-ph2006★ 5 cited

A Renormalization Proof of the KAM Theorem for Non-Analytic Perturbations

Emiliano De Simone

We shall use a Renormalization Group (RG) scheme in order to prove the classical KAM result in the case of a non-analytic perturbation (the latter will be assumed to have continuou…