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Caltech/UCLA Joint Analysis Seminar

Tuesday, February 16, 2021
10:00am to 10:50am
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Equidistribution of affine random walks on some nilmanifolds
Tsviqa Lakrec, Einstein Institute of Mathematics, The Hebrew University of Jerusalem,

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We consider the action of the group of affine transformations on a nilmanifold. Given a probability measure on this group and a starting point x, a random walk on the nilmanifold is defined. We study quantitative equidistribution in law of such affine random walks on nilmanifolds. Under certain assumptions, we show that a failure to have fast equidistribution on a nilmanifold is due to a failure on some factor nilmanifold. Combined with equidistribution results on the torus, this leads to an equidistribution statement on some nilmanifolds, such as Heisenberg nilmanifolds.

This talk is based on joint works with Weikun He and Elon Lindenstrauss.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.