Extreme values of critical and subcritical branching stable processes with positive jumps

Christophe Profeta (1)

1 LaMME - Laboratoire de Mathématiques et Modélisation d'Evry

We consider a branching stable process with positive jumps, i.e. a continuous-time branching process in which the particles evolve independently as stable Lévy processes with positive jumps. Assuming the branching mechanism is critical or subcritical, we compute the asymptotics of the maximum location ever reached by a particle of the process.

Domaines: Probabilités [math.PR]

Christophe Profeta. Extreme values of critical and subcritical branching stable processes with positive jumps. ALEA : Latin American Journal of Probability and Mathematical Statistics, 2022, XIX, pp.1421-1433. ⟨hal-03339445⟩