# The genealogy of branching Brownian motion with absorption

@article{Berestycki2010TheGO,
title={The genealogy of branching Brownian motion with absorption},
author={Julien Berestycki and Nathanael Berestycki and Jason Schweinsberg},
journal={Annals of Probability},
year={2010},
volume={41},
pages={527-618}
}
• Published 13 January 2010
• Mathematics
• Annals of Probability
We consider a system of particles which perform branching Brownian motion with negative drift and are killed upon reaching zero, in the near-critical regime where the total population stays roughly constant with approximately N particles. We show that the characteristic time scale for the evolution of this population is of order (logN) 3 , in the sense that when time is measured in these units, the scaled number of particles converges to a variant of Neveu’s continuous-state branching process…
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