The critical exponent functions

The critical exponent of a finite or infinite word $w$ over a given alphabet is the supremum of the reals $\alpha $ for which $w$ contains an $\alpha $-power. We study the maps associating to every real in the unit interval the inverse of the critical exponent of its base-$n$ expansion. We strengthe...

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Bibliographic Details
Main Authors: Corona, Dario, Della Corte, Alessandro
Format: Article
Language:English
Published: Académie des sciences 2022-04-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.286/