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Drunken man infinite words complexity

Published online by Cambridge University Press:  03 June 2008

Marion Le Gonidec
Marion Le Gonidec*
Affiliation:
Institut de Mathématiques, Université de Liège, Grande traverse 12 B.37, 4000 Liège, Belgium; M.LeGonidec@ulg.ac.be
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Abstract

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(log2 n)2 when n goes to infinity.


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Type
Research Article
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RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 3: JM'06 , July 2008, pp. 599 - 613
Copyright
© EDP Sciences, 2008

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