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SUMMARY:Quantitative equidistribution of random walks by automorphisms on 
 nilmanifolds
DTSTART:20251208T153000
DTEND:20251208T163000
DTSTAMP:20260603T150326Z
UID:af923c9c22269d9d38b2afbb62cf38bb295c7d76d7a452d023d3427a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Tsviqa Lakrec (University of Geneva)\nConsider the random walk
  on a nilmanifold X induced by random automorphisms on some fixed starting
  point x0. By a theorem of Bourgain-Furman-Lindenstrauss-Mozes\, for X a t
 orus and x0 irrational\, the random walk approaches a uniform distribution
  at an exponential rate. Benoist-Quint partially extends this to a nilmani
 fold\, without giving any rate. Bekka-Guivarc'h shows a spectral gap exist
 s in this setting. I will report on an upcoming work with Weikun He and El
 on Lindenstrauss that generalizes these results and our previous result on
  Heisenberg nilmanifolds\, giving an effective rate of equidistribution fr
 om random walks by automorphisms on 2-step nilmanifolds.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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