Speaker: Renming Song

Title: Asymptotic expansion for branching killed Brownian  motion with drift

Abstract: Let $Z^{(0, \infty)}_t$ be the point process formed by the positions of all particles alive at time $t$ in a branching Brownian motion with drift and killed upon reaching 0. In this talk, I will present some recent results on the asymptotic expansions of $Z^{(0, \infty)}_t(A)$, for $A=(a, b)$ or $A=(a, \infty)$ under some assumptions on the branching mechanism. This talk is based on a joint paper with Haojie Hou and Yanxia Ren.