Loop Models, Random Matrices and Planar Algebras

被引：0

作者：

A. Guionnet

V. F. R. Jones

D. Shlyakhtenko

P. Zinn-Justin

机构：

[1] UMPA,Department of Mathematics

[2] CNRS UMR 5669,Department of Mathematics

[3] ENS Lyon,undefined

[4] UC Berkeley,undefined

[5] UCLA,undefined

[6] UPMC Univ Paris 6,undefined

[7] CNRS UMR 7589,undefined

[8] LPTHE,undefined

来源：

Communications in Mathematical Physics | 2012年 / 316卷

关键词：

Bipartite Graph; Matrix Model; Random Matrix; Gibbs Measure; Loop Model;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We define matrix models that converge to the generating functions of a wide variety of loop models with fugacity taken in sets with an accumulation point. The latter can also be seen as moments of a non-commutative law on a subfactor planar algebra. We apply this construction to compute the generating functions of the Potts model on a random planar map.

引用

页码：45 / 97

页数：52

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