From Alternating Sign Matrices to the Gaussian Unitary Ensemble
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220_2014_Article_2084.pdf
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258.44 KB
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Author(s)
Gorin, Vadim
Date Issued
June 2014
Journal
Communications in Mathematical Physics
Publisher
Springer Berlin Heidelberg
Citation
Gorin, Vadim. “From Alternating Sign Matrices to the Gaussian Unitary Ensemble.” Communications in Mathematical Physics 332.1 (2014): 437–447.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00220-014-2084-z
