Return to equilibrium in classical and quantum systems
                            By
                    Carlangelo Liverani

                       ABSTRACT


I discuss return to equilibrium both in the classical and quantum setting. In
the classical setting the emphasis is on several techniques that have been
developed in the last years and that, hopefully, could inspire new approaches in
the study of quantum systems. In the quantum setting a very simple, but far from
trivial, model is discussed.