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

Christophe Profeta

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arXiv · 2109.04769

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

Christophe Profeta

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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.

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Christophe Profeta. 2021-09-10. Extreme values of critical and subcritical branching stable processes with positive jumps. https://arxiv.org/abs/2109.04769

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