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arxiv: 0707.3438 · v1 · submitted 2007-07-23 · 🧮 math-ph · math.MP

KAM Theorem and Renormalization Group

classification 🧮 math-ph math.MP
keywords grouprenormalizationtheoremanalyticcalledelementaryequationfield
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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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