97 citations · 135 across the 19 of their papers we have counts for
20 papers
Singular KAM theory for convex Hamiltonian systems
Santiago Barbieri, Luca Biasco, Luigi Chierchia +1
In this note, we briefly discuss how singular KAM Theory - which was worked out in a previous work by L.B. and L.C. for the mechanical case - can b…
Singular KAM Theory
Luca Biasco, Luigi Chierchia
The question of the total measure of invariant tori in analytic, nearly--integrable Hamiltonian systems is considered. In 1985, Arnol'd, Kozlov and Neishtadt, in the Encyclopaedia…
Global properties of generic real-analytic nearly-integrable Hamiltonian systems
Luca Biasco, Luigi Chierchia
We introduce a new class of generic real analytic potentials on and study global analytic properties of natural nearly-integrable Hamiltonians $\fra…
Complex Arnol'd-Liouville maps
Luca Biasco, Luigi Chierchia
We discuss the holomorphic properties of the complex continuation of the classical Arnol'd-Liouville action-angle variables for real analytic 1 degree--of--freedom Hamiltonian syst…
Quasi-periodic motions in generic nearly-integrable mechanical systems
Luca Biasco, Luigi Chierchia
In this note we present and briefly discuss results, which include as a particular case the theorem announced in [L. Biasco, and L. Chierchia. On the measure of Lagrangian invarian…
Small amplitude weak Sobolev almost periodic solutions for the 1d NLS
Luca Biasco, Jessica Elisa Massetti, Michela Procesi
All the almost periodic solutions for non integrable PDEs found in the literature are very regular (at least ) and, hence, very close to quasi periodic ones. This fact is…