High order expansion of matrix models and enumeration of maps
Abstract
Description
Perturbation of the GUE are known in physics to be related to enumeration of graphs on surfaces. We investigate this idea and show that for a small convex perturbation, we can perform a genus expansion: the moments of the empirical measure can be developed into a series whose g-th term is a generating function of graphs on a surface of genus g.
35 pages, 3 figures
35 pages, 3 figures