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math.PR2022
Strong law of large numbers for the stochastic six vertex model
Hindy Drillick, Yier Lin
We consider the inhomogeneous stochastic six vertex model with periodicity starting from step initial data. We prove that it converges almost surely to a deterministic limit shape.…
math.PR2022
Hydrodynamics of the -PNG model via a colored -PNG model
Hindy Drillick, Yier Lin
The -PNG model introduced in Aggarwal, Borodin, and Wheeler (2021) is a deformed version of the polynuclear growth (PNG) model. In this paper, we prove the hydrodynamic limit of…