Equidistribution of affine random walks on some nilmanifolds
Tsviqa Lakrec (The Hebrew University of Jerusalem)
Abstract: We consider the action of the group of affine transformations on a nilmanifold. Given a probability measure on this group and a starting point, 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.
dynamical systemsnumber theory
Audience: general audience
New England Dynamics and Number Theory Seminar
Organizers: | Dmitry Kleinbock, Han Li*, Lam Pham, Felipe Ramirez |
*contact for this listing |