Joint IAS/PU Groups and Dynamics Seminar
Equidistribution of Random Walks on Homogeneous Spaces.
I will explain why a random walk on a simple homogeneous space equidistributes toward the Haar measure with an explicit rate, provided that the walk is not trapped in a finite invariant set and that the distribution driving the walk is Zariski-dense and has algebraic coefficients. The argument relies on a multislicing theorem which extends Bourgain’s projection theorem and is of independent interest. Joint work with Weikun He.
Date & Time
April 14, 2026 | 4:30pm – 5:30pm
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04/14/2026 16:30
04/14/2026 17:30
Joint IAS/PU Groups and Dynamics Seminar
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Topic: Equidistribution of Random Walks on Homogeneous Spaces.
Speakers: Timothée Bénard, Sorbonne Paris Nord University
More: https://www.ias.edu/math/events/joint-iaspu-groups-and-dynamics-seminar-54
I will explain why a random walk on a simple homogeneous space
equidistributes toward the Haar measure with an explicit rate,
provided that the walk is not trapped in a finite invariant set and
that the distribution driving the walk is Zariski-dense and has
algebraic coefficients. The argument relies on a multislicing theorem
which extends Bourgain’s projection theorem and is of independent
interest. Joint work with Weikun He.
314 Fine Hall
a7a99c3d46944b65a08073518d638c23
Location
314 Fine HallSpeakers
Timothée Bénard, Sorbonne Paris Nord University