GUE corners process in boundary-weighed six-vertex models

被引：0

作者：

Dimitrov, Evgeni ^{[1
]}

Rychnovsky, Mark ^{[1
]}

机构：

[1] Columbia Univ, Dept Math, 2990 Broadway, New York, NY 10027 USA

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2022年 / 58卷 / 01期

关键词：

Six-vertex model; GUE corners process; Symmetric functions; ALTERNATING SIGN MATRICES;

D O I：

10.1214/21-AIHP1162

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider a class of probability distributions on the six-vertex model, which originate from the higher spin vertex models in (Selecta Math. (N.S.) 24 (2018) 751-874) and have previously been investigated in (Int. Math. Res. Not. 2020 (2020) 1794-1881). For these random six-vertex models we show that the asymptotic behavior near their base is asymptotically described by the GUEcorners process.

引用

页码：188 / 219

页数：32

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