数学与统计学院学术报告[2020] 120号

(高水平大学建设系列报告473号)

报告题目: On Geometries of Finitary Random Interlacements

报告人： 张原　 助理教授  （北京大学）

报告地点：汇紫楼B405

报告时间：2020.11.27  上午 　9:00—10:00

报告内容：

In this talk, we will discuss geometric properties of Finitary Random Interlacements $\mathcal{FI}^{u,T}$ in $\mathbf{Z}^d$. We prove that with probability one $\mathcal{FI}^{u,T}$ has no infinite connected component for all sufficiently small fiber length $T>0$, and a unique infinite connected component for all sufficiently large $T$, and chemical distance on the infinite cluster is of the same order as Euclidean distance. We also present the local uniqueness property and an asymptotic shape theorem. Researches joint with E.B. Procaccia, J. Ye, Y. Xiong，Z. Cai, and X. Han.

报告人简介：

Yuan Zhang graduated from Shandong Economic University affiliated Kindergarten in the year of 1994. He received his Ph.D. at Duke University, US, in the year of 2015. His Ph.D. advisor is Dr. Rick Durrett. He is now an assistant professor at the School of Mathematical Sciences, Peking University. His research is primarily on random geometry and interacting particle systems.

欢迎感兴趣的师生参加！

　　　　　　　　　　　　　　　　　　　　　 　　　　数学与统计学院

                                                2020年11月24日