3 papers
math.AG2024
Deep Points of Cluster Algebras
James Beyer, Greg Muller
We initiate a systematic study of the deep points of a cluster algebra; that is, the points in the associated variety which are not in any cluster torus. We describe the deep point…
math.CO2022
Superunitary regions of cluster algebras
Emily Gunawan, Greg Muller
This note introduces the superunitary region of a cluster algebra, the subspace of the totally positive region on which each cluster variable is at least 1. Our main result is that…
math.CO2022
Juggler's friezes
Roi Docampo, Greg Muller
This note generalizes -friezes to configurations of numbers in which one of the boundary rows has been replaced by a ragged edge (described by a juggling function).…