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SUMMARY:Julien Melleray (Institut Camille Jordan\, Université Lyon 1)
DTSTART:20200619T081500Z
DTEND:20200619T094500Z
DTSTAMP:20260423T021829Z
UID:DSSUJ/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSSUJ/8/">Ch
 aracterizing sets of invariant probability measures of minimal homeomorphi
 sms of the Cantor space</a>\nby Julien Melleray (Institut Camille Jordan\,
  Université Lyon 1) as part of Dynamical systems seminar at the Jagiellon
 ian University\n\nLecture held in 1016.\n\nAbstract\nGiven a set K of prob
 ability measures on a Cantor set X\, one\ncan ask whether there exists a m
 inimal homeomorphism (= all orbits are\ndense) whose invariant probability
  measures are exactly the elements of\nK. We say that K is a dynamical sim
 plex if such a homeomorphism exists\;\nI will present a characterization o
 f dynamical simplices\, which is based\nin large part on work of T. Ibarlu
 cia and myself\; and try to explain the\nproof strategy\, based on the not
 ion of  Kakutani-Rokhlin partitions. The\ntalk will be introductory in nat
 ure and not assume prior knowledge of\nCantor dynamics.\n
LOCATION:https://researchseminars.org/talk/DSSUJ/8/
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