Least Periods of Factors of Infinite Words
James D. Currie, Kalle Saari (2008)
RAIRO - Theoretical Informatics and Applications
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We show that any positive integer is the least period of a factor of the Thue-Morse word. We also characterize the set of least periods of factors of a Sturmian word. In particular, the corresponding set for the Fibonacci word is the set of Fibonacci numbers. As a by-product of our results, we give several new proofs and tightenings of well-known properties of Sturmian words.