From Alternating Sign Matrices to the Gaussian Unitary Ensemble |
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| Authors: | Vadim Gorin |
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| Affiliation: | 1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, USA
2. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
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| Abstract: | 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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