# A Strong Law of Large Numbers for Super-Critical Branching Brownian Motion with Absorption

@article{Louidor2020ASL,
title={A Strong Law of Large Numbers for Super-Critical Branching Brownian Motion with Absorption},
author={Oren Louidor and Santiago Saglietti},
journal={Journal of Statistical Physics},
year={2020}
}
• Published 28 August 2017
• Mathematics
• Journal of Statistical Physics
We consider a (one-dimensional) branching Brownian motion process with a general offspring distribution having at least two moments, and in which all particles have a drift towards the origin where they are immediately absorbed. It is well-known that if and only if the branching rate is sufficiently large, then the population survives forever with positive probability. We show that throughout this super-critical regime, the number of particles inside any fixed set normalized by the mean…
3 Citations

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