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UID:5998@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220627T150000
DTEND;TZID=Europe/Paris:20220627T160000
DTSTAMP:20241120T200715Z
URL:https://www.i2m.univ-amu.fr/evenements/maximum-order-complexity-for-so
 me-automatic-and-morphic-sequences-along-polynomial-values/
SUMMARY:Pierre Popoli (Institut Élie Cartan de Lorraine\, à Nancy): Maxim
 um order complexity for some automatic and morphic sequences along polynom
 ial values
DESCRIPTION:Pierre Popoli: Automatic sequences are not suitable sequences f
 or cryptographic applications since both their subword complexity and thei
 r expansion complexity are small\, and their correlation measure of order 
 2 is large. These sequences are highly predictable despite having a large 
 maximum order complexity. However\, recent results show that polynomial su
 bsequences of automatic sequences\, such as the Thue-Morse sequence or the
  Rudin-Shapiro sequence\, are better candidates for pseudorandom sequences
 . A natural generalization of automatic sequences are morphic sequences\, 
 given by a fixed point of a prolongeable morphism that is not necessarily 
 uniform. In this talk\, I will present my results on lowers bounds for the
  maximum order complexity of the Thue-Morse sequence\, the Rudin-Shapiro s
 equence and the sum of digits function in Zeckendorf base\, which are resp
 ectively automatics and morphic sequences. .\nVideo and slides here : http
 s://www.i2m.univ-amu.fr/wiki/Combinatorics-on-Words-seminar/\n\n&nbsp\;\n\
 n\n\nThe address of the Zoom meeting is https://zoom.us/j/92245493528 . Th
 e password is distributed in announcements. If you want to receive them\, 
 or receive them and want to unsubscribe\, please write to Anna Frid.
CATEGORIES:Combinatorics on Words Seminar,Virtual event
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