1 citations · 1 across the 2 of their papers we have counts for
3 papers
math-ph2022★ 1 cited
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…
math.CO2019
Arctic curves phenomena for bounded lecture hall Tableaux
Sylvie Corteel, David Keating, Matthew Nicoletti
Recently the first author and Jang Soo Kim introduced lecture hall tableaux in their study of multivariate little q-Jacobi polynomials. They then enumerated bounded lecture hall ta…