| Issue |
RAIRO-Theor. Inf. Appl.
Volume 44, Number 1, January-March 2010
Special issue dedicated to the 12th "Journées Montoises d'Informatique Théorique"
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|
|---|---|---|
| Page(s) | 113 - 124 | |
| DOI | https://doi.org/10.1051/ita/2010007 | |
| Published online | 11 February 2010 | |
Infinite words containing squares at every position
Department of Mathematics and Statistics,
University of Winnipeg, 515 Portage Avenue, Winnipeg,
Manitoba R3B 2E9, Canada; j.currie@uwinnipeg.ca, n.rampersad@uwinnipeg.ca
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.
Mathematics Subject Classification: 68R15.
Key words: Infinite words / power-free words / squares.
© EDP Sciences, 2010
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