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Abstract: In a recent paper, Brlek, Jamet and Paquin showed that some extremal infinitesmooth words are also infinite Lyndon words. This result raises a naturalquestion: are they the only ones? If no, what do the infinite smooth words thatare also Lyndon words look like? In this paper, we give the answer, provingthat the only infinite smooth Lyndon words are $m {\{a

Author: Genevieve Paquin


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