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On extremal properties of the Fibonacci word

By Julien Cassaigne

Abstract

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

Topics: Fibonacci word, repetitions, recurrence function, palindromes.
Publisher: EDP Sciences
Year: 2008
DOI identifier: 10.1051/ita:2008003
OAI identifier: oai:edpsciences.org:dkey/10.1051/ita:2008003
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