2 citations · 4 across the 11 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
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…
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…