Extreme values of critical and subcritical branching stable processes with positive jumps - Archive ouverte HAL
Article Dans Une Revue ALEA : Latin American Journal of Probability and Mathematical Statistics Année : 2022

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

Résumé

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.
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Dates et versions

hal-03339445 , version 1 (09-09-2021)

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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⟩
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