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UID:6876@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20191213T110000
DTEND;TZID=Europe/Paris:20191213T120000
DTSTAMP:20241207T133908Z
URL:https://www.i2m.univ-amu.fr/evenements/les-echanges-dintervalles-de-ve
 ech-sataev-sebastien-ferenczi-avec-pascal-hubert/
SUMMARY:Sébastien Ferenczi (avec Pascal Hubert) (I2M\, CNRS\, Marseille): 
 Les échanges d'intervalles de Veech-Sataev
DESCRIPTION:Sébastien Ferenczi (avec Pascal Hubert): We look at d-point ex
 tensions of a rotation of angle α with r marked points\, generalizing the
  examples of Veech 1969 and Sataev 1975\, together with the square-tiled i
 nterval exchanges of [4]. We give conditions for minimality\, solving the 
 problem of minimality for Veech 1969\, and show that minimality implies un
 ique ergodicity when α has bounded partial quotients. Then we study the p
 roperty of rigidity\, in function of the Ostrowski expansions of the marke
 d points by α: the most interesting case is when α has bounded partial q
 uotients but the natural coding of the rotation with marked points is not 
 linearly recurrent\; it is only partially solved but allows us to build th
 e first examples of non linearly recurrent and non rigid interval exchange
 s. https://hal.archives-ouvertes.fr/hal-02120157/\n\nVeech-Sataev interval
  exchanges.\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Sebastien_Ferenczi.jpg
CATEGORIES:Séminaire,Rauzy
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DTSTART:20191027T020000
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