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math.CO2026
Cardinalities of Kiselman monoids and their parity asymptotics
Alessandro D'Andrea, Salvatore Stella
The cardinalities of Kiselman's semigroups are known to grow double exponentially in : the sequence converges along the even and odd subsequences…
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…