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UID:5776@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230123T150000
DTEND;TZID=Europe/Paris:20230123T160000
DTSTAMP:20241120T200214Z
URL:https://www.i2m.univ-amu.fr/evenements/essential-difference-between-th
 e-repetitive-thereshold-and-asymptotic-repetitive-threshold-of-balanced-se
 quences/
SUMMARY:Lubomíra Dvořáková (Czech Technical University in Prague): Esse
 ntial difference between the repetitive thereshold and asymptotic repetiti
 ve threshold of balanced sequences
DESCRIPTION:Lubomíra Dvořáková: At first\, we will summarize both the h
 istory and the state of the art of the critical exponent and the asymptoti
 c critical exponent of balanced sequences. Second\, we will colour the Fib
 onacci sequence by suitable constant gap sequences to provide an upper bou
 nd on the asymptotic repetitive threshold of d-ary balanced sequences. The
  bound is attained for d equal to 2\, 4 and 8 and we conjecture that it ha
 ppens for infinitely many even d's. Finally\, we will reveal an essential 
 difference in behavior of the repetitive threshold and the asymptotic repe
 titive threshold of balanced sequences: The repetitive threshold of d-ary 
 balanced sequences is known to be at least 1+1/(d−2) for each d larger t
 han two. In contrast\, our bound implies that the asymptotic repetitive th
 reshold of d-ary balanced sequences is at most 1+ϕ3/2d−3 for each d lar
 ger than one\, where ϕ is the golden mean.\nJoint work with Edita Pelanto
 vá.\n\n\n\n\nThe address of the Zoom meeting is https://zoom.us/j/9224549
 3528 . The password is distributed in announcements. If you want to receiv
 e them\, or receive them and want to unsubscribe\, please write to Anna Fr
 id.\nMore info: https://www.i2m.univ-amu.fr/wiki/Combinatorics-on-Words-se
 minar/
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 023/01/LubomIra_Dvorakova.png
CATEGORIES:Combinatorics on Words Seminar,Virtual event
LOCATION:Virtual event\, visioconférence\, virtual\, France
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 , France;X-APPLE-RADIUS=100;X-TITLE=Virtual event:geo:0,0
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