Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	刘嘉琪博士, University of Pennsylvania
Inviter:
Title:	Yaglom-type limits for branching Brownian motion with absorption in the slightly subcritical regime
Language:	Chinese
Time & Venue:	2023.07.12 10:30-11:30 Zoom 会议: 952 0017 7878
Abstract:	Branching Brownian motion is a random particle system that incorporates both the tree-like structure and the diffusion process. In this talk, we consider a slightly subcritical branching Brownian motion with absorption, where particles move as Brownian motion with drift, undergo dyadic fission at a constant rate, and are killed upon hitting the origin. We are interested in the asymptotic behaviors of the process conditioned on survival up to a large time t as the process approaches criticality. Results like this are called Yaglom type results. Specifically, we will discuss the existence of the Yaglom limit law, Yaglom-type limits for the number of particles and the maximal displacement. This is based on joint work with Julien Berestycki, Bastien Mallein and Jason Schweinsberg.