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From Alternating Sign Matrices to the Gaussian Unitary Ensemble (1306.6347v2)
Published 26 Jun 2013 in math.PR, math-ph, math.CO, and math.MP
Abstract: The aim of this note is to prove that fluctuations of uniformly random alternating sign matrices (equivalently, configurations of the six-vertex model with domain wall boundary conditions) near the boundary are described by the Gaussian Unitary Ensemble and the GUE-corners process.