YMSC Probability SeminarOrganizers:吴昊,杨帆,姜建平,顾陈琳,李文博Speaker:Zherui Fan 范哲睿 (PKU)Time:Thur., 16:00-17:00, Nov. 20, 2025Venue:C548, Shuangqing Complex Building ATitle:The effective resistance and random walk in one-dimensional critical long-range percolationAbstract:We study the critical long-range percolation on $\mathbb{Z}$, where an edge connects $i$ and $j$ independent...
AbstractConsider the action of GL_d(Z) on the d-dimensional torus R^d/Z^d. Given a probability measure on GL_d(Z) and a point on the torus, a random walk is defined. In this talk, I will report some recent progress about the equidistribution of such random walks. More precisely, I will talk about quantitative results under the assumption that the acting group has semisimple Zariski closure. Thi...