2 papers
math.CO2026
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…
math.CO2025
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…