05/25: Weikun He


Quantitative equidistribution of random walks on the torus.

Abstract: Under a proximality assumption, Bourgain, Furman, Lindenstrauss and Mozes established a quantitative equidistribution result for linear random walks on the torus. I will discuss some recent progress in this topic, including a joint work with Nicolas de Saxcé which relaxed the proximality assumption and a joint with Tsviqa Lakrec and Elon Lindenstrauss which generalizes (to some extent) the result to affine random walks.