arXiv Analytics

Sign in

arXiv:1306.6347 [math.PR]AbstractReferencesReviewsResources

From Alternating Sign Matrices to the Gaussian Unitary Ensemble

Vadim Gorin

Published 2013-06-26, updated 2014-01-05Version 2

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.

Comments: 15 pages, 2 figures. v2: minor updates, to appear in Communications in Mathematical Physics
Categories: math.PR, math-ph, math.CO, math.MP
Related articles: Most relevant | Search more
arXiv:2106.07589 [math.PR] (Published 2021-06-14)
Gaussian Unitary Ensemble in random lozenge tilings
arXiv:0811.0979 [math.PR] (Published 2008-11-06)
Asymptotic Independence in the Spectrum of the Gaussian Unitary Ensemble
arXiv:2004.05337 [math.PR] (Published 2020-04-11)
On delocalization in the six-vertex model

Links

Toolbox