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On extremal properties of the Fibonacci word

Published online by Cambridge University Press:  06 February 2008

Julien Cassaigne
Julien Cassaigne*
Affiliation:
Institut de mathématiques de Luminy, case 907, 163 avenue de Luminy, 13288 Marseille Cedex 9, France; cassaigne@iml.univ-mrs.fr
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Abstract

We survey several quantitative problems on infinite words related to repetitions, recurrence, and palindromes, for which the Fibonacci word often exhibits extremal behaviour.

Keywords

Fibonacci wordrepetitionsrecurrence functionpalindromes.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 4: Fibonacci words , October 2008 , pp. 701 - 715
Copyright
© EDP Sciences, 2008

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