On the convergence of local times for critical branching random walks
数学专题报告
报告题目(Title)：On the convergence of local times for critical branching random walks
报告人(Speaker)：白天衣 (上海纽约大学)
地点(Place)：J8-110, 腾讯会议 881-413-689.
时间(Time)：2022年9月13日, 3:30-5:10
邀请人(Inviter)：何辉
报告摘要
Consider the critical branching random walk on the d-dimensional lattice. we are interested in counting the number of particles first arriving at a given sphere. We show that regardless of dimension, this quantity always converges to the exit local time of the integrated super-Brownian excursion. We also present our current attempt with the same local time method to the total number of particles on the sphere, generalizing a proposition of [Le Gall and Lin 2015] to high dimensions, and proposing a conjecture on the convergence to the subordination of the continuum random tree.
