From Alternating Sign Matrices to the Gaussian Unitary Ensemble
Probability
2015-06-16 v2 Mathematical Physics
Combinatorics
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.
Keywords
Cite
@article{arxiv.1306.6347,
title = {From Alternating Sign Matrices to the Gaussian Unitary Ensemble},
author = {Vadim Gorin},
journal= {arXiv preprint arXiv:1306.6347},
year = {2015}
}
Comments
15 pages, 2 figures. v2: minor updates, to appear in Communications in Mathematical Physics