FM 01-13; mp_arc 45-13 ; arXiv: 1305.3438

Authors : Giovanni Gallavotti

Title: Aspects of Lagrange Mechanics and their legacy (v.2)

Abstract: from the vibrating string and Kepler equation theories to relativitic quantum fields, perturbation theory, (divergent) series resummations, KAM theory.

Keywords: Lagrange, Vibrating String, Lagrange Inversion, Implicit Functions, Kepler Equation, Quantum Field Theory, Combinatorial KAM

Keywords: invariant tori, quasi-periodic motion, perturbation theory, KAM, averaged motions, Kolmogorov's average, Lindstedt series

Giovanni Gallavotti
INFN Fisica e Accademia dei Lincei
Universita di Roma Sapienza, 00185 Roma, Italy