Physics Group Meeting

I will review the perturbative (genus) expansion of one-matrix integrals via the loop equations, and the streamlined version due to Eynard. I will review double-scaled matrix integrals and discuss a heuristic method for computing some nonperturbative effects. For a thorough modern discussion of the loop equations and the connection to "topological recursion," see
https://arxiv.org/abs/1510.04430