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arXiv:0809.0603 [math.CO]AbstractReferencesReviewsResources

Relation between powers of factors and recurrence function characterizing Sturmian words

Zuzana Masáková, Edita Pelantová

Published 2008-09-03, updated 2008-09-05Version 2

In this paper we use the relation of the index of an infinite aperiodic word and its recurrence function to give another characterization of Sturmian words. As a byproduct, we give a new proof of theorem describing the index of a Sturmian word in terms of the continued fraction expansion of its slope. This theorem was independently proved by Carpi and de Luca, and Damanik and Lenz.

Comments: 11 pages
Categories: math.CO, math.DS
Subjects: 68R15
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