Matrix integrals and enumeration of maps
Mathematical Physics
2011-04-18 v1 Combinatorics
math.MP
Abstract
This chapter is an introduction to the connection between random matrices and maps, i.e graphs drawn on surfaces. We concentrate on the one-matrix model and explain how it encodes and allows to solve a map enumeration problem.
Cite
@article{arxiv.1104.3003,
title = {Matrix integrals and enumeration of maps},
author = {J. Bouttier},
journal= {arXiv preprint arXiv:1104.3003},
year = {2011}
}
Comments
chapter of the "The Oxford Handbook of Random Matrix Theory", editors G. Akemann, J. Baik and P. Di Francesco ; 24 pages and 5 figures