94-405 Guido Gentile, Vieri Mastropietro

Tree expansion and multiscale analysis for KAM tori (92K, Plain Tex) Dec 20, 94

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Abstract. We prove that the perturbative expansion for the KAM invariant tori of the Thirring model (with interaction depending also on the action variables) is convergent by using techniques usual in quantum field theory like the multiscale decomposition and the tree expansion. The proof follows the ideas of Eliasson, and extends the results found in the case of an action-independent interaction potential.

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