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SUMMARY:Non-proximal linear random walks on the torus - Weikun He\, Hebrew
  University of Jerusalem
DTSTART:20181210T151500Z
DTEND:20181210T161500Z
UID:TALK114127@talks.cam.ac.uk
CONTACT:Aled Walker
DESCRIPTION:Given a a probability measure µ on SL(d\,Z)\, the associated 
 random walk on the linear group induces a random walk on the d-dimensional
  torus R^d/Z^d. Bourgain-Furman-Lindenstrauss-Mozes showed that the random
  walk equidistributes to the Haar measure provided that the starting point
  is irrational\, µ has finite exponential moment and that the group gener
 ated by the support of µ acts irreducibly and proximally on R^d. In this 
 talk\, I will explain how to get the same result for certain non-proximal 
 groups (for example SL(d\,C)) using their method combined with new tools f
 rom additive combinatorics.
LOCATION:MR4\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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