GUE corners process in boundary-weighed six-vertex models
Probability
2020-05-15 v1 Mathematical Physics
math.MP
Abstract
We consider a class of probability distributions on the six-vertex model, which originate from the higher spin vertex models in arXiv:1601.05770 and have previously been investigated in arXiv:1610.06893. For these random six-vertex models we show that the asymptotic behavior near their base is asymptotically described by the GUE-corners process.
Keywords
Cite
@article{arxiv.2005.06836,
title = {GUE corners process in boundary-weighed six-vertex models},
author = {Evgeni Dimitrov and Mark Rychnovsky},
journal= {arXiv preprint arXiv:2005.06836},
year = {2020}
}
Comments
33 pages, 8 Figures