2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57457We present a method, based on loop equations, to compute recursively, all the terms in the large $N$ topological expansion of the free energy for the 2-hermitian matrix model, in the case where the support of the density of eigenvalues is not connected. We illustrate the method by computing the free energy of a statistical physics model on a discretized torus.latex, 1 figureMathematical Physicstext