2 citations · 4 across the 11 of their papers we have counts for
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Fluctuations for the Toda lattice
Amol Aggarwal, Matthew Nicoletti
In this paper we consider the Toda lattice at thermal equilibrium, meaning that its variables and are independent Gaussi…
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…
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…
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…
Perfect t-embeddings and Lozenge Tilings
Tomas Berggren, Matthew Nicoletti, Marianna Russkikh
We construct perfect t-embeddings for regular hexagons of the hexagonal lattice, providing the first example, and hence proving existence, for graphs with an outer face of degree g…
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…
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…