Extreme values of critical and subcritical branching stable processes with positive jumps
Probability
2021-09-13 v1
Abstract
We consider a branching stable process with positive jumps, i.e. a continuous-time branching process in which the particles evolve independently as stable L{\'e}vy 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.
Keywords
Cite
@article{arxiv.2109.04769,
title = {Extreme values of critical and subcritical branching stable processes with positive jumps},
author = {Christophe Profeta},
journal= {arXiv preprint arXiv:2109.04769},
year = {2021}
}