报告时间：2023年5月16日

                上午9:00-10:00

报告地点：中国人民大学明德主楼1016

（腾讯会议ID：622-223-830）

报告嘉宾：张原

报告主题：On Geometries of Finitary Random Interlacements

报告摘要

On Geometries of Finitary Random Interlacements

In this talk, we discuss geometric properties of Finitary Random Interlacements (FRI) FI{u,T} in Zd. We prove that with probability one 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. At the same time, although FRI may not enjoy global stochastic monotonicity with respect to T, we prove the existence of a critical Tc(u) for all large u. Moreover, we find the chemical distance on the infinite cluster is of the same order as Euclidean distance as well as a local uniqueness result in the supercritical regime.

Joint work(s) with E.B. Procaccia, R. Rosenthal, S. Hernandez-Torres  J. Ye, Y. Xiong, Z. Cai, and X. Han.

作者简介

张原，2015年美国杜克大学取得博士学位，现任中国人民大学统计学院副教授。主要研究方向：随机几何、随机相互作用粒子系统、随机传染病动力学模型。研究工作发表在PNAS，Trans AMS, SIMA, AoAP, SPA, M3AS等期刊。