The genus-zero five-vertex model
Probability
2023-02-22 v3 Mathematical Physics
math.MP
Abstract
We study the free energy and limit shape problem for the five-vertex model with periodic "genus zero" weights. We derive the exact phase diagram, free energy and surface tension for this model. We show that its surface tension has trivial potential and use this to give explicit parameterizations of limit shapes.
Cite
@article{arxiv.2101.04195,
title = {The genus-zero five-vertex model},
author = {Richard Kenyon and István Prause},
journal= {arXiv preprint arXiv:2101.04195},
year = {2023}
}
Comments
28 pages, accepted version