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UID:4902@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20231010T150000
DTEND;TZID=Europe/Paris:20231010T160000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/string-attractors-and-pseudopal
 indromic-closures/
SUMMARY: (...): String attractors and pseudopalindromic closures
DESCRIPTION:: In this contribution we carry on a study of string attractors
  of important classes of sequences. Attractors of minimum size of factors/
 prefixes/particular prefixes of the following sequences have been determin
 ed so far: Sturmian sequences (Mantaci\, Restivo\, Romana\, Rosone\, Scior
 tino\, 2021\, Dvořáková\, 2022)\, episturmian sequences (Dvořáková\,
  2022)\, the Tribonacci sequence (Schaeffer and Shallit\, 2021)\, the Thue
 -Morse sequence (Kutsukake\, 2020\, Schaeffer and Shallit\, 2021\, Dolce\,
  2023)\, the period-doubling sequence (Schaeffer and Shallit\, 2021)\, the
  powers of two sequence (Schaeffer and Shallit\, 2021\, Kociumaka\, Navarr
 o\, Prezza\, 2021)\, complementary-symmetric Rote sequences (Dvořáková 
 and Hendrychová\, 2023). Recently\, string attractors in fixed points of 
 k-bonacci-like morphisms have been described (Gheeraert\, Romana\, Stipula
 nti\, 2023).\nIn our talk we aim to present the following results: Using t
 he fact that standard Sturmian sequences may be obtained when iterating pa
 lindromic closure\, we were able to find attractors of minimum size of all
  factors of Sturmian sequences. These attractors were different from the o
 nes found for prefixes by Mantaci et al. It was then straightforward to ge
 neralize the result to factors of episturmian sequences. Observing usefull
 ness of palindromic closures when dealing with attractors\, we turned our 
 attention to pseudopalindromic prefixes of the so-called binary generalize
 d pseudostandard sequences. We determined the minimum size attractors in t
 wo cases: for pseudostandard sequences obtained when iterating uniquely th
 e antipalindromic closure (the minimum size is three) and for the compleme
 ntary-symmetric Rote sequences when iterating both palindromic and antipal
 indromic closure (the minimum size is two).\n\n\n\n\nThe address of the Zo
 om meeting is https://zoom.us/j/92245493528 . The password is distributed 
 in announcements. If you want to receive them\, or receive them and want t
 o unsubscribe\, please write to Anna Frid.\nMore info: https://www.i2m.uni
 v-amu.fr/wiki/Combinatorics-on-Words-seminar/
CATEGORIES:Combinatorics on Words Seminar,Virtual event
LOCATION:Virtual event\, visioconférence\, virtual\, France
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