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 _______________________________________________ Settimanale mailing list Settimanale@mail.dm.unipi.it https://mail.dm.unipi.it/mailman/listinfo/settimanale