1 citations · 1 across the 4 of their papers we have counts for
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On the growth of friezes via theta functions
Pierre-Guy Plamondon, Salvatore Stella
We prove that the infinite friezes arising from the tubes of a given cluster algebra of acyclic affine type all have the same growth coefficients. Our proof uses identities satisfi…
The cardinality of Kiselman's semigroups grows double-exponentially
Alessandro D'Andrea, Salvatore Stella
Let denote Ganyushkin-Kudryavtseva-Mazorchuk's generalization of Kiselman's semigroups. We show that the sequence admits finite limits as grows…
Cluster scattering diagrams of acyclic affine type
Nathan Reading, Salvatore Stella
We give an explicit construction of the cluster scattering diagram for any acyclic exchange matrix of affine type. We show that the corresponding cluster scattering fan coincides b…
On the Strength of Chromatic Symmetric Homology for graphs
Alex Chandler, Radmila Sazdanovic, Salvatore Stella +1
In this paper, we investigate the strength of chromatic symmetric homology as a graph invariant. Chromatic symmetric homology is a lift of the chromatic symmetric function for grap…
The action of a Coxeter element on an affine root system
Nathan Reading, Salvatore Stella
The characterization of orbits of roots under the action of a Coxeter element is a fundamental tool in the study of finite root systems and their reflection groups. This paper deve…
An affine almost positive roots model
Nathan Reading, Salvatore Stella
We generalize the almost positive roots model for cluster algebras from finite type to a uniform finite/affine type model. We define the almost positive Schur roots and a com…