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math.CO2025
Colored Vertex Models and Interacting Reverse Plane Partitions
Jonah Guse, David Jiang, David Keating
We study the coupling of pairs of reverse plane partitions of the same shape by assigning a certain local interaction between the reverse plane partitions. We show that they are in…
math.CO2023
Shuffling algorithm for coupled tilings of the Aztec diamond
David Keating, Matthew Nicoletti
In this article we define a generalization of the domino shuffling algorithm for tilings of the Aztec diamond to the interacting -tilings recently introduced by S. Corteel, A. G…