| Título: | Tail asymptotics for the total progeny of the critical killed branching random walk |
| Autores: | Aidekon, Elie E.F.; Technische Universiteit Eindhoven |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Branching random walk, total progeny. 60J80 |
| Descripción: | We consider a branching random walk on $R$ with a killing barrier at zero. At criticality, the process becomes eventually extinct, and the total progeny $Z$ is therefore finite. We show that $P(Z>n)$ is of order $(n\ln^2(n))^{-1}$, which confirms the prediction of Addario-Berry and Broutin [1]. |
| Idioma: | No aplica |
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