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UID:7233@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20181005T093000
DTEND;TZID=Europe/Paris:20181005T103000
DTSTAMP:20241207T133045Z
URL:https://www.i2m.univ-amu.fr/evenements/spectral-cocycle-for-substituti
 on-systems-and-translation-flows-boris-solomyak/
SUMMARY:Boris Solomyak (University of Bar-Ilan\, Israel): Spectral cocycle 
 for substitution systems and translation flows
DESCRIPTION:Boris Solomyak: To a primitive substitution system\, we assign 
 a complex matrix cocycle\, defined over a toral endomorphism induced by th
 e substitution matrix. It is closely related to the spectral theory of sus
 pension flows over the substitution system\; in particular\, the local dim
 ension of spectral measures is expressed in terms of the top Lyapunov expo
 nent of the cocycle. As an application\, we obtain a sufficient condition 
 for the singularity of a typical flow.\nThe construction and the results a
 re also extended to S-adic system and translation flows.\nBased on joint w
 ork with A. Bufetov. https://hal.archives-ouvertes.fr/hal-02110664\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Boris_Solomyak.jpg
CATEGORIES:Séminaire,Rauzy
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