2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/151679I present here some results on the statistical behaviour of large random matrices in an ensemble where the probability distribution is not a function of the eigenvalues only. The perturbative expansion can be cast in a closed form and the limits of validity of this expansion are carefully analyzed. A comparison is done with a similar model with quenched disorder, where the solution can be found by using the replica method. Finally I will apply these results to a model which should describe the liquid-glass transitionin high dimensions.Talk given at Claude Itzykson memorial, June 1996 Paris. 11 pagesDisordered Systems and Neural NetworksSoft Condensed Mattertext