We review recent progress in the mathematical theory of quantum disordered
systems: the Anderson transition (joint work with Domingos Marchetti), the
(quantum and classical) Edwards-Anderson (EA) spin glass model and return to
equilibrium for a class of spin glass models, which includes the EA model
initially in a very large transverse magnetic field.Comment: 25 pages, 1 figure, based on lectures at Bressanone and G\"ottinge

Wreszinski, Walter F.