From Alternating Sign Matrices to the Gaussian Unitary Ensemble
被引:0
|
作者:
Vadim Gorin
论文数: 0引用数: 0
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机构:Massachusetts Institute of Technology,Department of Mathematics
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
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2014年
/
332卷
关键词:
Young Diagram;
Gibbs Measure;
Dime Model;
Uniform Measure;
Plane Partition;
D O I:
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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.