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TZID:Europe/Paris
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UID:1344@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160923T110000
DTEND;TZID=Europe/Paris:20160923T120000
DTSTAMP:20160908T090000Z
URL:https://www.i2m.univ-amu.fr/evenements/automatic-sequences-fulfill-the
 -sarnak-conjecture/
SUMMARY: (...): Automatic Sequences fulfill the Sarnak Conjecture
DESCRIPTION:: We use analytic tools to prove that the dynamical system corr
 esponding to any automatic sequence fulfils the Sarnak conjecture. In part
 icular\, any complex valued automatic sequence is orthogonal to the Mobius
  function. In this talk we describe a method to reduce the treatment of au
 tomatic sequences to a structure combining synchronizing and invertible as
 pects. We use (and adopt) a method developed by Mauduit and Rivat\, as wel
 l as combine ideas for invertible automata by Drmota and Morgenbesser and 
 synchronizing automata by Deshouillers\, Drmota and myself. Furthermore\, 
 we prove a prime number theorem for many automatic sequences.I will try to
  explain the problem and give a rather long introduction - although there 
 may be persons in the audience who know more about the sarnak conjecture a
 nd automatic sequences than me.Webpage
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TZID:Europe/Paris
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DTSTART:20160327T030000
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