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20192026
most citedColored Interacting Particle Systems on the Ring: Stationary Measures from Yang-Baxter Equation

2 citations · 4 across the 11 of their papers we have counts for

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math.PR2025

Perfect t-embeddings of doubly periodic Aztec diamonds

Tomas Berggren, Matthew Nicoletti, Marianna Russkikh

We study the large-scale geometry of t-surfaces -- pairs of perfect t-embeddings and their associated origami maps -- arising from dimer models on Aztec diamonds with periodic edge…

math.PR2025

Temperleyan Domino Tilings with Holes

Matthew Nicoletti

We analyze asymptotic height function fluctuations in uniformly random domino tiling models on multiply connected Temperleyan domains. Starting from asymptotic formulas derived by…

math.PR2025

Gaussian Free Field and Discrete Gaussians in Periodic Dimer Models

Tomas Berggren, Matthew Nicoletti

We analyze height fluctuations in Aztec diamond dimer models with nearly arbitrary periodic edge weights. We show that the centered height function approximates the sum of two inde…