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Constructive Quantum Field Theory
Giovanni Gallavotti
A review of the renormalization group approach to the proof of non perturbative ultraviolet stability in scalar field theories in dimension d=2,3.
Stationary nonequilibrium statistical mechanics
Giovanni Gallavotti
A brief review on the dynamical systems approach to nonequilibrium statistical mechanics and chaotic dynamics
Fractional Lindstedt series
Giovanni Gallavotti, Guido Gentile, Alessandro Giuliani
The parametric equations of the surfaces on which highly resonant quasi-periodic motions develop (lower-dimensional tori) cannot be analytically continued, in general, in the pertu…
Equilibrium Statistical Mechanics
Giovanni Gallavotti
An introductory review of Classical Statistical Mechanics
CKN theory of singularities of weak solutions of the Navier-Stokes equations
Giovanni Gallavotti
The lectures are devoted to a complete exposition of the theory of singularities of the Navier Stokes equations solution studied by Leray, in a simple geometrical setting in which…