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RAIRO - Theoretical Informatics and Applications (1)

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Infinite words containing squares at every position
James Currie, Narad Rampersad
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 44 / Issue 1 / January 2010

Published online by Cambridge University Press:

11 February 2010, pp. 113-124

Print publication:

January 2010
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Richomme asked the following question: what is the infimum of the real numbers α > 2 such that there exists an infinite word that avoids α-powers but contains arbitrarily large squares beginning at every position? We resolve this question in the case of a binary alphabet by showing that the answer is α = 7/3.