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Topological expansion in the cubic random matrix model

Authors
  • Bleher, Pavel
  • Deaño, Alfredo
Type
Preprint
Publication Date
Nov 21, 2011
Submission Date
Nov 29, 2010
Identifiers
arXiv ID: 1011.6338
Source
arXiv
License
Yellow
External links

Abstract

In this paper we return to the classical work by Br\'ezin, Itzykson, Parisi and Zuber, in which, among other things, the authors explicitly calculated the coefficients of the topological expansion in the cubic random matrix model in genus 0. Our main goal will be to rigorously prove the results of Br\'ezin, Itzykson, Parisi and Zuber and to obtain an explicit formula for the coefficients of the topological expansion in genus 1. We will also prove some formulae and asymptotic results for the coefficients of the topological expansion in higher genera.

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