72 citations · 253 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
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This note generalizes -friezes to configurations of numbers in which one of the boundary rows has been replaced by a ragged edge (described by a juggling function).…
Linear recurrences indexed by
Greg Muller
This note considers linear recurrences (also called linear difference equations) in unknowns indexed by the integers. We characterize a unique \emph{reduced} linear recurrence with…
The twist for positroid varieties
Greg Muller, David E Speyer
The purpose of this note is to connect two maps related to certain graphs embedded in the disc. The first is Postnikov's boundary measurement map, which combines partition function…
Cluster Algebras of Grassmannians are Locally Acyclic
Greg Muller, David E. Speyer
Considered as commutative algebras, cluster algebras can be very unpleasant objects. However, the first author introduced a condition known as "local acyclicity" which implies that…