2 citations · 4 across the 11 of their papers we have counts for
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Six-Vertex Model and Random Matrix Distributions
Vadim Gorin, Matthew Nicoletti
We survey the connections between the six-vertex (square ice) model of 2d statistical mechanics and random matrix theory. We highlight the same universal probability distributions…
Colored Interacting Particle Systems on the Ring: Stationary Measures from Yang-Baxter Equation
Amol Aggarwal, Matthew Nicoletti, Leonid Petrov
Recently, there has been much progress in understanding stationary measures for colored (also called multi-species or multi-type) interacting particle systems, motivated by asympto…
Shuffling algorithm for coupled tilings of the Aztec diamond
David Keating, Matthew Nicoletti
In this article we define a generalization of the domino shuffling algorithm for tilings of the Aztec diamond to the interacting -tilings recently introduced by S. Corteel, A. G…
Perfect t-embeddings of uniformly weighted Aztec diamonds and tower graphs
Tomas Berggren, Matthew Nicoletti, Marianna Russkikh
In this work we study a sequence of perfect t-embeddings of uniformly weighted Aztec diamonds. We show that these perfect t-embeddings can be used to prove convergence of gradients…