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math.PR2019
Universality for Lozenge Tiling Local Statistics
Amol Aggarwal
In this paper we consider uniformly random lozenge tilings of arbitrary domains approximating (after suitable normalization) a closed, simply-connected subset of wit…
math.PR2019
Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model
Amol Aggarwal
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…