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arXiv · 0707.3438

KAM Theorem and Renormalization Group

E. De Simone·A. Kupiainen
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Abstract

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 equation studied in quantum field theory.

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E. De Simone, A. Kupiainen. 2007-07-23. KAM Theorem and Renormalization Group. https://arxiv.org/abs/0707.3438

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