Asymptotics in finite monoidal categories

Tubbenhauer, Daniel;Dos Santos Santana Forte Vaz, Pedro;Lacabanne, Abel
(2023) American Mathematical Society. Proceedings. Series B — Vol. 10, p. 398-412 (2023)

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Abstract
We give explicit formulas for the asymptotic growth rate of the number of summands in tensor powers in certain monoidal categories with finitely many indecomposable objects, and related structures.
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Tubbenhauer, D., Dos Santos Santana Forte Vaz, P., & Lacabanne, A. (2023). Asymptotics in finite monoidal categories. American Mathematical Society. Proceedings. Series B, 10, 398-412. https://doi.org/10.1090/bproc/198 (Original work published 2023)