Quantitative equidistribution of random walks on the torus
                    
                  
                  
                  
                    报告人:Weikun He (Institute of Mathematics, AMSS,  Chinese Academy of Sciences)
 
                    时间:2023-03-28   15:10-17:00
  
                    地点:Room 1303, Sciences Building No. 1
                   
                  
                    Abstract: Consider the action of GL(d,Z) on the d-dimensional torus R^d/Z^d. Given a probability measure on GL(d,Z) and starting point, we can define a random walk. The topic of this talk is the quantitative equidistribution in law of such random walks. Such results date back to the work of Bourgain-Furman-Lindenstrauss-Mozes. I will present some recent development based on collaborations with Nicolas de Saxce, Tsviqa Lakrec and Elon Lindenstrauss.