Drunken man infinite words complexity
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 42 (2008) no. 3, pp. 599-613.

In this article, we study the complexity of drunken man infinite words. We show that these infinite words, generated by a deterministic and complete countable automaton, or equivalently generated by a substitution over a countable alphabet of constant length, have complexity functions equivalent to n(log 2 n) 2 when n goes to infinity.

DOI: 10.1051/ita:2008012
Classification: 11B85,  68R15
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Gonidec, Marion Le. Drunken man infinite words complexity. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Volume 42 (2008) no. 3, pp. 599-613. doi : 10.1051/ita:2008012. http://www.numdam.org/articles/10.1051/ita:2008012/

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