# 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} }

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…

## 11 Citations

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