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Local Statistics and Shuffling for Dimers on a Square-Hexagon Lattice
Matthew Nicoletti
We study the dimer model on special subgraphs of the square hexagon lattice called "tower graphs" of size . Using integrable probability techniques, we confirm that as $N \right…
math.PR2022
Irreversible Markov Dynamics and Hydrodynamics for KPZ States in the Stochastic Six Vertex Model
Matthew Nicoletti, Leonid Petrov
We introduce a family of Markov growth processes on discrete height functions defined on the 2-dimensional square lattice. Each height function corresponds to a configuration of th…