# The number of absorbed individuals in branching Brownian motion with a barrier

@article{Maillard2010TheNO, title={The number of absorbed individuals in branching Brownian motion with a barrier}, author={Pascal Maillard}, journal={arXiv: Probability}, year={2010} }

We study supercritical branching Brownian motion on the real line starting at the origin and with constant drift $c$. At the point $x > 0$, we add an absorbing barrier, i.e.\ individuals touching the barrier are instantly killed without producing offspring. It is known that there is a critical drift $c_0$, such that this process becomes extinct almost surely if and only if $c \ge c_0$. In this case, if $Z_x$ denotes the number of individuals absorbed at the barrier, we give an asymptotic for $P…

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