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SUMMARY:Cesar Silva (Williams College)
DTSTART:20211113T190000Z
DTEND:20211113T200000Z
DTSTAMP:20260423T021047Z
UID:Dynamics/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Dynamics/5/"
 >"Characterizations of rank-one transformations that factor onto an odomet
 er\, or are isomorphic to an odometer</a>\nby Cesar Silva (Williams Colleg
 e) as part of Little school dynamics\n\n\nAbstract\nWe will start by discu
 ssing rank-one transformations and odometer transformations\, and review t
 he isomorphism problem in ergodic theory.  We will then present explicit c
 haracterizations\, based on the cutting and spacer parameters of the rank-
 one transformation\, of (a) which rank-one transformations factor onto a g
 iven finite cyclic permutation\, (b) which rank-one transformations factor
  onto a given odometer\, and (c) which rank-one transformations are isomor
 phic to a given odometer. These naturally yield characterizations of (d) w
 hich rank-one transformations factor onto some (unspecified) finite cyclic
  permutation\,  (e) which rank-one transformations factor onto some (unspe
 cified) odometer\, and (f) which rank-one transformations are isomorphic t
 o some (unspecified) odometer.  This is joint work with Matthew Foreman\, 
 Su Gao\, Aaron Hill\, and Benjamin Weiss.\n
LOCATION:https://researchseminars.org/talk/Dynamics/5/
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