Non-Colliding Paths in the Honeycomb Dimer Model and the Dyson Process

被引：0

作者：

Cédric Boutillier

机构：

[1] Université Pierre et Marie Curie,Laboratoire de Probabilités et Modèles Aléatoires

[2] Paris VI,undefined

来源：

Journal of Statistical Physics | 2007年 / 129卷

关键词：

Tilings; Dimer models; Phase transition; Random matrices; Dyson model;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we describe a natural family of random non-intersecting discrete paths in the dimer model on the honeycomb lattice. We show that when the dimer model is going to freeze, this family of paths, after a proper rescaling, converges to the extended sine process, obtained traditionally as the limit of the Dyson model when the number of particles goes to infinity.

引用

页码：1117 / 1135

页数：18

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