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UID:4876@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230926T150000
DTEND;TZID=Europe/Paris:20230926T160000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/the-analogs-of-overlap-freeness
 -for-the-period-doubling-morphism-and-for-the-fibonacci-morphism/
SUMMARY: (...): The analogs of overlap-freeness for the period-doubling mor
 phism and for the Fibonacci morphism
DESCRIPTION:: The Thue-Morse morphism is the binary map μ:0→01\,1→10. 
 A word w is overlap-free if it has no factor of the form xyxyx\, where x i
 s non-empty. A deep connection between these two concepts is the engine be
 hind several results:\n\n- The precise characterization of finite prefixes
  of infinite overlap-free binary words (Fife’s Theorem)\;\n\n- A precise
  enumeration of overlap-free binary words\;\n\n- A characterization of all
  binary patterns encountered by the Thue-Morse word\;\n\n- The determinati
 on of the lexicographically least infinite overlap-free word.\n\nGiven ano
 ther morphism\, is there an analog of overlap-freeness which facilitates t
 he proof of similar results? We show that the answer is yes for the period
  doubling morphism δ:0→01\,1→00\, and for the Fibonacci morphism φ:0
 →01\,1→0.\n\n&nbsp\;\n\n\n\nThe address of the Zoom meeting is https:/
 /zoom.us/j/92245493528 . The password is distributed in announcements. If 
 you want to receive them\, or receive them and want to unsubscribe\, pleas
 e write to Anna Frid.\nMore info: https://www.i2m.univ-amu.fr/wiki/Combina
 torics-on-Words-seminar/
CATEGORIES:Combinatorics on Words Seminar,Virtual event
LOCATION:Virtual event\, visioconférence\, virtual\, France
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