Geodesic
Squares and cubes in sturmian sequences
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 3, pp. 615-624

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We prove that every sturmian word ω has infinitely many prefixes of the form U n V n 3 , where |U n |<2.855|V n | and lim n→∞ |V n |=∞. In passing, we give a very simple proof of the known fact that every sturmian word begins in arbitrarily long squares.

DOI : 10.1051/ita/2009005
Classification : 68R15
Keywords: sturmian word, block-complexity, stammering word 
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     title = {Squares and cubes in sturmian sequences},
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     pages = {615--624},
     publisher = {EDP-Sciences},
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Dubickas, Artūras. Squares and cubes in sturmian sequences. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 3, pp. 615-624. doi: 10.1051/ita/2009005

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