Friday, June 28, 2013

1306.6347 (Vadim Gorin)

From Alternating Sign Matrices to the Gaussian Unitary Ensemble    [PDF]

Vadim Gorin
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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