2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153879The focus of this survey paper is on the distribution function for the largest eigenvalue in the finite N Gaussian ensembles (GOE,GUE,GSE) in the edge scaling limit of N->infinity. These limiting distribution functions are expressible in terms of a particular Painleve II function. Comparisons are made with finite N simulations as well as a discussion of the universality of these distribution functions.13 pagesExactly Solvable and Integrable SystemsMathematical Physicstext