From Alternating Sign Matrices to the Gaussian Unitary Ensemble
classification
🧮 math.PR
math-phmath.COmath.MP
keywords
alternatingboundaryensemblegaussianmatricessignunitaryconditions
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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.
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