Abstract: In this talk I will introduce the audience to what physicists call the "double scaling limit" of RMT invariant ensembles. In this double scaling limit the coupling constants of the model are taken to their "critical value" while simultaneously the matrix size N goes to infinity (the intuition behind this will be explored). The result is that the partition function forms a tau-function of a minimal model reduction of the Kkadamtsev-Petviashvili (KP) integrable hierarchy.