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Mixed Dimer Configuration Model in Type Cluster Algebras II: Beyond the Acyclic Case
Libby Farrell, Gregg Musiker, Kayla Wright
This is a sequel to the second and third author's Mixed Dimer Configuration Model in Type Cluster Algebras where we extend our model to work for quivers that contain oriented c…
math.CO2022
Matrix Formulae for Decorated Super Teichmüller Spaces
Gregg Musiker, Nicholas Ovenhouse, Sylvester W. Zhang
For an arc on a bordered surface with marked points, we associate a holonomy matrix using a product of elements of the supergroup , which defines a flat $\mathrm…
math.CO2022
Labeled Chip-firing on Binary Trees with Chips
Gregg Musiker, Son Nguyen
We study labeled chip-firing on binary trees and some of its modifications. We prove a sorting property of terminal configurations of the process. We also analyze the endgame moves…