From Alternating Sign Matrices to the Gaussian Unitary Ensemble

被引:0
|
作者
Vadim Gorin
机构
[1] Massachusetts Institute of Technology,Department of Mathematics
[2] Russian Academy of Sciences,Institute for Information Transmission Problems
来源
Communications in Mathematical Physics | 2014年 / 332卷
关键词
Young Diagram; Gibbs Measure; Dime Model; Uniform Measure; Plane Partition;
D O I
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中图分类号
学科分类号
摘要
The aim of this note is to prove that fluctuations of uniformly random alternating sign matrices (equivalently, configurations of the 6-vertex model with domain wall boundary conditions) near the boundary are described by the Gaussian Unitary Ensemble and the GUE-corners process.
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页码:437 / 447
页数:10
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