Explore a 43-minute lecture on the equidistribution of linear random walks on the torus, presented by Weikun He as part of the Hausdorff Trimester Program "Dynamics: Topology and Numbers" conference on "Dynamics on homogeneous spaces." Delve into recent progress in quantitative equidistribution for linear random walks on the torus, building upon the work of Bourgain, Furman, Lindenstrauss, and Mozes. Discover how the proximality assumption in their original result has been relaxed through joint research with Nicolas de Saxcé. Gain insights into advanced mathematical concepts and their applications in dynamical systems and number theory.