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...
YMSC Probability SeminarOrganizers:吴昊,杨帆,姜建平,顾陈琳Speaker:Yushu Zheng 郑玉书 (AMSS)Time:Thur., 3:30-4:30 pm, Sept. 26, 2024Venue:C548, Shuangqing Complex Building A清华大学双清综合楼A座 C548Title:Favorite sites for simple random walk in two and more dimensionsAbstract:On the trace of a discrete-time simple random walk on $\mathbb{Z}^d$ for $d\geq 2$, we consider the evolution of...