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UID:7188@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20181127T110000
DTEND;TZID=Europe/Paris:20181127T120000
DTSTAMP:20241120T203443Z
URL:https://www.i2m.univ-amu.fr/evenements/automatic-sequences-are-orthogo
 nal-to-aperiodic-multiplicative-functions/
SUMMARY:Clemens Müllner (Institut Camille Jordan (ICJ)\, Villeurbanne): Au
 tomatic sequences are orthogonal to aperiodic multiplicative functions
DESCRIPTION:Clemens Müllner: Recently it was shown by the author that all 
 automatic sequences satisfy the Sarnak conjecture. In particular\, they ar
 e orthogonal to the Möbius function. This result relied on a structural r
 esult for automata and tools from analytic number theory\, most importantl
 y a method developed by Mauduit and Rivat.\nIn this talk we give an interp
 retation of the mentioned structural result in terms of substitutions and 
 dynamical systems. Furthermore\, we use joinings and a criterion by Katai 
 to show that any primitive substitution/automatic sequence is orthogonal n
 ot just to the Möbius function but to any bounded aperiodic multiplicativ
 e function.\nThis is joint work with Mariusz Lemanczyk.\nhttps://arxiv.org
 /abs/1811.00594\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Clemens_Mullner-2.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20181028T020000
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