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On extremal properties of the Fibonacci word

Published online by Cambridge University Press:  06 February 2008

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.

Type
Research Article
Copyright
© EDP Sciences, 2008

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