KAM Theorem and Renormalization Group

Details KAM Theorem and Renormalization Group KAM Theorem and Renormalization Group

2007-07-23

arxiv.org/abs/0707.3438v1

Physics

Mathematical Physics

17 pages, no figures

Scientific paper

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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