We study a dyadic branching Brownian motion on the real line with absorption at 0, drift μ∈R and started from a single particle at position x>0. With K(∞) the (possibly infinite) total number of individuals absorbed at 0...
Take a continuous-time Galton-Watson tree. If the system survives until a large time T , then choose k particles uniformly from those alive. What does the ancestral tree drawn out by these k particles look like? Some special...
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