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SUMMARY:Tobias Oertel-Jäger (Friedrich Schiller University Jena)
DTSTART:20200529T081500Z
DTEND:20200529T094500Z
DTSTAMP:20260423T021828Z
UID:DSSUJ/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/6/">To
 pological dynamics of irregular model sets</a>\nby Tobias Oertel-Jäger (F
 riedrich Schiller University Jena) as part of Dynamical systems seminar at
  the Jagiellonian University\n\nLecture held in 1016.\n\nAbstract\nModel s
 ets have been introduced by Yves Meyer in 1972. As\nthe underlying cut and
  project schemes present a quite general method\nto construct aperiodic po
 int-sets with long-range order\, they are\noften studied in the theory of 
 mathematical quasicrystals. At the same\ntime\, they present an interestin
 g class of examples in the context of\ntopological dynamics.\n\nIn this ta
 lk\, we will concentrate on the dynamics of so-called\nirregular model set
 s\, whose dynamics are generally more complicated\nand less understood tha
 n that of regular models (like the Fibonacci\nquasicrystal). We show that 
 the Delone dynamical systems associated to\nirregular model sets often sho
 w positive entropy\, but the construction\nalso allows for uniquely ergodi
 c zero entropy examples. However\,\nirregular models sets cannot be tame\,
  which provides a lower bound for\nthe complexity of their dynamics.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/6/
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