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Hydrodynamic limit and viscosity solutions for a 2D growth process in the anisotropic KPZ class

Hydrodynamic limit and viscosity solutions for a 2D growth process in the anisotropic KPZ class

We study a $(2+1)$-dimensional stochastic interface growth model, that is believed to belong to the so-called Anisotropic KPZ (AKPZ) universality class [Borodin and Ferrari, 2014]. It can be seen either as a two-dimensional interacting particle process with drift, that generalizes the one-dimensional Hammersley process [Aldous and Diaconis 1995, Seppalainen 1996], …