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UID:7957@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20151201T110000
DTEND;TZID=Europe/Paris:20151201T120000
DTSTAMP:20241120T205614Z
URL:https://www.i2m.univ-amu.fr/evenements/on-a-group-theoretic-generaliza
 tion-of-the-morse-hedlund-theorem/
SUMMARY:Svetlana Puzynina (Sobolev Institute of Mathematics\, Novosibirsk\,
  Russia): On a group-theoretic generalization of the Morse-Hedlund theorem
DESCRIPTION:Svetlana Puzynina: In their 1938 seminal paper on symbolic dyna
 mics\, Morse and Hedlund proved that every aperiodic infinite word x conta
 ins at least n+1 distinct factors of each length n. They further showed th
 at an infinite word x has exactly n+1 distinct factors of each length n if
  and only if x is binary\, aperiodic and balanced\, i.e.\, x is a Sturmian
  word. We obtain a broad generalization of the Morse-Hedlund theorem via g
 roup actions. This is a joint work with Émilie Charlier and Luca. Q. Zamb
 oni.\nhttps://hal.archives-ouvertes.fr/hal-01829320\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 015/12/Svetlana_Puzynina.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20151025T020000
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