Corpus ID: 226222275

Yaglom-type limit theorems for branching Brownian motion with absorption

@article{Maillard2020YaglomtypeLT,
  title={Yaglom-type limit theorems for branching Brownian motion with absorption},
  author={Pascal Maillard and Jason Schweinsberg},
  journal={arXiv: Probability},
  year={2020}
}
We consider one-dimensional branching Brownian motion in which particles are absorbed at the origin. We assume that when a particle branches, the offspring distribution is supercritical, but the particles are given a critical drift towards the origin so that the process eventually goes extinct with probability one. We establish precise asymptotics for the probability that the process survives for a large time t, building on previous results by Kesten (1978) and Berestycki, Berestycki, and… Expand
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