Asymptotics in infinite monoidal categories

Tubbenhauer, Daniel;Dos Santos Santana Forte Vaz, Pedro;Lacabanne, Abel;et.al.
(2025) Higher Structures — Vol. 9, n° 2, p. 168-197 (2025)

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Abstract
We discuss formulas for the asymptotic growth rate of the number of summands in tensor powers in certain (finite or infinite) monoidal categories. Our focus is on monoidal categories with infinitely many indecomposable objects, with our main tools being generalized Perron-Frobenius theory alongside techniques from random walks.
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Tubbenhauer, D., Dos Santos Santana Forte Vaz, P., Lacabanne, A., & et al. (2025). Asymptotics in infinite monoidal categories. Higher Structures, 9(2), 168-197. https://doi.org/10.21136/HS.2025.14 (Original work published 2025)