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math.CO2025
Mapped Exponent and Asymptotic Critical Exponent of Words
Eva Foster, Aleksi Saarela, Aleksi Vanhatalo
We study how much injective morphisms can increase the repetitiveness of a given word. This question has a few possible variations depending on the meaning of ``repetitiveness''. W…
cs.FL2025
Mapping words to powers by morphisms
Aleksi Saarela
We characterize the words that can be mapped to arbitrarily high powers by injective morphisms. For all other words, we prove a linear upper bound for the highest power that they c…