High order expansion of matrix models and enumeration of maps
Probability
2007-05-23 v1 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0608192,
title = {High order expansion of matrix models and enumeration of maps},
author = {Edouard Maurel-Segala},
journal= {arXiv preprint arXiv:math/0608192},
year = {2007}
}
Comments
35 pages, 3 figures