Stochastic higher spin six vertex model and Madconald measures
Mathematical Physics
2016-08-05 v1 math.MP
Probability
Abstract
We prove an identity that relates the q-Laplace transform of the height function of a (higher spin inhomogeneous) stochastic six vertex model in a quadrant on one side, and a multiplicative functional of a Macdonald measure on the other. The identity is used to prove the GUE Tracy-Widom asymptotics for two instances of the stochastic six vertex model via asymptotics analysis of the corresponding Schur measures.
Cite
@article{arxiv.1608.01553,
title = {Stochastic higher spin six vertex model and Madconald measures},
author = {Alexei Borodin},
journal= {arXiv preprint arXiv:1608.01553},
year = {2016}
}
Comments
20 pages