Observables of stochastic colored vertex models and local relation
Probability
2022-08-09 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We study the stochastic colored six vertex (SC6V) model and its fusion. Our main result is an integral expression for natural observables of this model -- joint q-moments of height functions. This generalises a recent result of Borodin-Wheeler. The key technical ingredient is a new relation of height functions of SC6V model in neighboring points. This relation is of independent interest; we refer to it as a local relation. As applications, we give a new proof of certain symmetries of height functions of SC6V model recently established by Borodin-Gorin-Wheeler and Galashin, and new formulas for joint moments of delayed partition functions of Beta polymer.
Cite
@article{arxiv.2011.11426,
title = {Observables of stochastic colored vertex models and local relation},
author = {Alexey Bufetov and Sergei Korotkikh},
journal= {arXiv preprint arXiv:2011.11426},
year = {2022}
}
Comments
42 pages, 4 figures