Poissonian statistics in the extremal process of branching Brownian motion
Poissonian statistics in the extremal process of branching Brownian motion
As a first step toward a characterization of the limiting extremal process of branching Brownian motion, we proved in a recent work [Comm. Pure Appl. Math. 64 (2011) 1647–1676] that, in the limit of large time $t$, extremal particles descend with overwhelming probability from ancestors having split either within a …