Lindstedt series, ultraviolet divergences and Moser's theorem

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dc.creatorBonetto, F.
dc.creatorGallavotti, G.
dc.creatorGentile, G.
dc.creatorMastropietro, V.
dc.date1995-11-28
dc.date.accessioned2026-07-07T10:08:35Z
dc.date.available2026-07-07T10:08:35Z
dc.descriptionMoser's invariant tori for a class of nonanalytic quasi integrable even hamiltonian systems are shown to be analytic in the perturbation parameter. We do so by exhibiting a summation rule for the divergent series (``Lindstedt series") that formally define them. We find additional cancellations taking place in the formal series, besides the ones already known and necessary in the analytic case (i.e. to prove convergence of Lindtsedt algorithm for Kolmogorov's invariant tori). The method is interpreted in terms of a non renormalizable quantum field theory, considerably more singular than the one we pointed out in the analytic case.
dc.description38 pages, postscript, compressed
dc.identifierhttps://arxiv.org/abs/chao-dyn/9511009
dc.identifierhttp://arxiv.org/abs/chao-dyn/9511009
dc.identifierAnnali della Scuola Normale Superiore di Pisa, 26, 545--593, 1998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171044
dc.subjectChaotic Dynamics
dc.titleLindstedt series, ultraviolet divergences and Moser's theorem
dc.typetext

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