KAM Theorem and Renormalization Group

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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.
17 pages, no figures

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Mathematical Physics, 37J40 ; 37J25

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http://salesiana.dossiersoluciones.com/handle/123456789/134863

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3438
 http://arxiv.org/abs/0707.3438

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arXiv