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SUMMARY:Cagri Sert (Universität Zürich)
DTSTART:20210201T171500Z
DTEND:20210201T183000Z
DTSTAMP:20260423T053046Z
UID:NEDNT/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/14/">E
 xpanding measures and random walks on homogeneous spaces</a>\nby Cagri Ser
 t (Universität Zürich) as part of New England Dynamics and Number Theory
  Seminar\n\nLecture held in Online.\n\nAbstract\nWe will start by reviewin
 g some recent works on random walks on homogeneous spaces. We will continu
 e by discussing the notion of a H-expanding probability measure on a conne
 cted semisimple Lie group H\, that we introduce inspired by these developm
 ents. As we shall see\, for a H-expanding µ with H < G\, on the one hand\
 , one can obtain a description of µ-stationary probability measures on th
 e homogeneous space G/Λ using the measure classification results of Eskin
 – Lindenstrauss\, and on the other hand\, the recurrence techniques of B
 enoist–Quint can be generalized to this setting. As a result\, we will d
 educe equidistribution and orbit closure description results simultaneousl
 y for a class of subgroups which contains Zariski-dense subgroups and some
  epimorphic subgroups of H. If time allows\, we will see how\, using an id
 ea of Simmons–Weiss\, this allows also us to deduce Birkhoff genericity 
 of a class of fractal measures with respect to expanding diagonal actions.
  Joint work with Roland Prohaska and Ronggang Shi.\n
LOCATION:https://researchseminars.org/talk/NEDNT/14/
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