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Lindstedt series, ultraviolet divergences and Moser's theorem
F. Bonetto, G. Gallavotti, G. Gentile +1
Moser'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 summati…
A rigorous implementation of the Jeans--Landau--Teller approximation
G. Benettin, A. Carati, G. Gallavotti
Rigorous bounds on the rate of energy exchanges between vibrational and translational degrees of freedom are established in simple classical models of diatomic molecules. The resul…
Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem
Giovanni Gallavotti
It is shown that the "chaoticity hypothesis", analogous to Ruelle's principle for turbulence and recently introduced in statistical mechanics, implies the Onsager reciprocity and t…
Lindstedt series and Kolmogorov theorem
Giovanni Gallavotti
The KAM theorem from a combinatorial viewpoint.
Field theory and KAM tori
G. Gallavotti, G. Gentile, V. Mastropietro
The parametric equations of KAM tori for a quasi integrable system, are shown to be one point Schwinger functions of a suitable euclidean quantum field theory on the torus. KAM the…
Reversible Anosov diffeomorphisms and large deviations
Giovanni Gallavotti
The volume contraction obeys a large deviation rule.