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math-ph2025
Split Two-Periodic Aztec Diamond
Meredith Shea
Recent advancements have been made to understand the statistics of the Aztec diamond dimer model under general periodic weights. In this work we define a model that breaks periodic…
math-ph2022
Dimer model on the square lattice with interface
Meredith Shea
In this exposition, we consider the dimer problem on an infinite square lattice with partially non-periodic edge weights, which we refer to as the square lattice with interface. In…
math-ph2020
Generalized Gelfand-Yaglom Formula for a Discretized Quantum Mechanic System
Meredith Shea
The Gelfand-Yaglom formula relates the regularized determinant of a differential operator to the solution of an initial value problem. Here we develop a generalized Gelfand-Yaglom…