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math.PR2025
Total progeny for spectrally negative branching L{é}vy processes with absorption
Christophe Profeta
We consider a spectrally negative branching L{é}vy process in which particles are killed upon crossing below zero. It is known that such a process becomes extinct almost surely if…
math.PR2025
On the maximal displacement of some critical branching L{é}vy processes with stable offspring distribution
Christophe Profeta
Let X be a critical branching L{é}vy process whose offspring distribution is in the domain of attraction of a stable random variable. We study the tail probability of the maximum l…