Lunedi 8 marzo 2004, alle ore 14:30,

SEMINARIO DI SISTEMI DINAMICI (olomorfi e dintorni)

Sala Seminari del Centro di Ricerca Matematica Ennio De Giorgi palazzo Puteano

Joao Lopes-Dias, (Instituto Superior Tecnico Lisbona Portogallo)

TITOLO:

Multidimensional continued fractions, renormalisation and KAM theory

ABSTRACT:

We construct a renormalisation scheme for vector fields on the d-torus and Hamiltonian flows, based on a multidimensional continued fractions algorithm of a d-dimensional vector. The convergence of this renormalisation to a trivial limit set implies some results of Kolmogorov-Arnold-Moser (KAM) type for the stability of diophantine quasi-periodic motion.

Marco Abate Stefano Marmi

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