From Alternating Sign Matrices to the Gaussian Unitary Ensemble

Author(s)
Gorin, Vadim
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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.
Date issued
2014-06
URI
http://hdl.handle.net/1721.1/104368
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
0010-3616
1432-0916
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