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The KAM theorem and renormalization group

Published online by Cambridge University Press:  01 April 2009

E. DE SIMONE  and
A. KUPIAINEN
E. DE SIMONE
Affiliation:
Department of Mathematics and Statistics, PO Box 68 (Gustaf Hällströmin katu 2b) Helsinki, 00014, Finland (email: emiliano.desimone@helsinki.fi)
A. KUPIAINEN
Affiliation:
Department of Mathematics and Statistics, PO Box 68 (Gustaf Hällströmin katu 2b) Helsinki, 00014, Finland (email: emiliano.desimone@helsinki.fi)
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Abstract

We give an elementary proof of the analytic KAM theorem by reducing it to a Picard iteration of a certain PDE with quadratic nonlinearity, the so-called Polchinski renormalization group equation studied in quantum field theory.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 29 , Issue 2 , April 2009 , pp. 419 - 431
Copyright
Copyright © Cambridge University Press 2008

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