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UID:7469@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171023T000000
DTEND;TZID=Europe/Paris:20171103T000000
DTSTAMP:20241120T204338Z
URL:https://www.i2m.univ-amu.fr/evenements/bernoulli-convolutions-and-sale
 m-numbers-morlet-chair-shigeki-akiyama/
SUMMARY:Pairs (CIRM\, Luminy\, Marseille): Bernoulli Convolutions and Salem
  Numbers (Morlet Chair Shigeki Akiyama)
DESCRIPTION:Pairs: \n\n\n\n CIRM - Jean-Morlet Chair \n Shigeki AKIYAMA - P
 ierre ARNOUX\n\nTiling and Discrete Geometry\n​\nPavages et géométrie 
 discrète\n\n\n 2017 - Semester 2 \n\n\n\n\n\n\n\n\n\n\n\nRESEARCH IN PAIR
 S\nBernoulli Convolutions and Salem Numbers \nDates: 23 October - 3 Novemb
 er 2017 at CIRM (Marseille Luminy\, France) \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
 DESCRIPTION\n\n\nBernoulli convolutions are probably the simplest and most
  well studied examples of self-similar measures with overlaps. They form a
  family of self-similar measures\, each associated to some parameter lambd
 a\, but despite extensive study over the years there are very few classes 
 of lambda for which we know whether the corresponding Bernoulli convolutio
 n is absolutely continuous.\n\nWe shall study Bernoulli convolutions assoc
 iated to Salem numbers by first constructing a countable Markov shift asso
 ciated with the corresponding set of finite polynomials\, and then studyin
 g the structure of this shift and its recurrence properties. This project 
 lies at the interface between dynamical systems\, fractal geometry and num
 ber theory.\n\n\n\n\n\n\n[su_spacer]\nPARTICIPANTS\n\n\n 	Shigeki Akiyama 
 (University of Tsubuka &amp\; Aix-Marseille Université)\n 	Tetsuro Kamae 
 (Osaka City University)\n 	Tom Kempton (University of Manchester)\n 	Tomas
  Persson (Lund University)\n 	De-Jun Feng  (The Chinese University of Hon
 g Kong)\n\n\n\nSPONSOR\n\n\n\n  \n\n\n\n\n\n\n\n\n
CATEGORIES:Manifestation scientifique,Morlet Chair Semester,Morlet
 Research in Pairs
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