# Critical branching Brownian motion with absorption: survival probability

@article{Berestycki2012CriticalBB, title={Critical branching Brownian motion with absorption: survival probability}, author={Julien Berestycki and Nathanael Berestycki and Jason Schweinsberg}, journal={Probability Theory and Related Fields}, year={2012}, volume={160}, pages={489-520} }

We consider branching Brownian motion on the real line with absorption at zero, in which particles move according to independent Brownian motions with the critical drift of $$-\sqrt{2}$$-2. Kesten (Stoch Process 7:9–47, 1978) showed that almost surely this process eventually dies out. Here we obtain upper and lower bounds on the probability that the process survives until some large time $$t$$t. These bounds improve upon results of Kesten (Stoch Process 7:9–47, 1978), and partially confirm…

## 14 Citations

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