# Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model

@article{Aggarwal2019LimitSA,
title={Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model},
author={Amol Aggarwal},
journal={Communications in Mathematical Physics},
year={2019},
volume={376},
pages={681-746}
}
• A. Aggarwal
• Published 28 February 2019
• Mathematics
• Communications in Mathematical Physics
In this paper we consider the stochastic six-vertex model on a cylinder with arbitrary initial data. First, we show that it exhibits a limit shape in the thermodynamic limit, whose density profile is given by the entropy solution to an explicit, non-linear conservation law that was predicted by Gwa–Spohn (Phys Rev Lett 68:725–728, 1992) and by Reshetikhin–Sridhar (Commun Math Phys 363:741–765, 2018). Then, we show that the local statistics of this model around any continuity point of its limit…
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