2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103524We survey recent results on determinantal processes, random growth, random tilings and their relation to random matrix theory.40 pages. Lectures given at the summer school on Mathematical statistical mechanics in July 05 at Ecole de Physique, Les HouchesMathematical PhysicsProbabilitytext