Combinatorial aspects of matrix models
概率论
2007-05-23 v2
摘要
We show that under reasonably general assumptions, the first order asymptotics of the free energy of matrix models are generating functions for colored planar maps. This is based on the fact that solutions of the Schwinger-Dyson equations are, by nature, generating functions for enumerating planar maps, a remark which bypasses the use of Gaussian calculus.
引用
@article{arxiv.math/0503064,
title = {Combinatorial aspects of matrix models},
author = {Alice Guionnet and Édouard Maurel-Segala},
journal= {arXiv preprint arXiv:math/0503064},
year = {2007}
}
备注
35 pages, 3 figures; corrected typos, additional section