A Yaglom type asymptotic result for subcritical branching Brownian motion with absorption

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:141

Article

Liu, Jiaqi¹ 

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

关键词: Branching Brownian motion;    Yaglom limit laws;    Near critical phenomena;   

DOI  :  10.1016/j.spa.2021.07.009

来源: Elsevier

【 摘 要 】

We consider a slightly subcritical branching Brownian motion with absorption, where particles move as Brownian motions with drift - root 2 + 2 epsilon, undergo dyadic fission at rate 1, and are killed when they reach the origin. We obtain a Yaglom type asymptotic result, showing that the long run expected number of particles conditioned on survival grows exponentially as 1/ root epsilon as the process approaches criticality. (C) 2021 The Author(s). Published by Elsevier B.V.

【 授权许可】

Free