KAM Theorem and Renormalization Group
Mathematical Physics
2007-07-24 v1 math.MP
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.
Cite
@article{arxiv.0707.3438,
title = {KAM Theorem and Renormalization Group},
author = {E. De Simone and A. Kupiainen},
journal= {arXiv preprint arXiv:0707.3438},
year = {2007}
}
Comments
17 pages, no figures