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math-ph2023
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…
math-ph2023★ 1 cited
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…