The number of absorbed individuals in branching brownian motion with a barrier
Pascal Maillard (2013)
Annales de l'I.H.P. Probabilités et statistiques
Similarity:
We study supercritical branching Brownian motion on the real line starting at the origin and with constant drift . At the point , 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 , such that this process becomes extinct almost surely if and only if . In this case, if denotes the number of individuals absorbed at the barrier, we give an asymptotic for as goes to infinity....