References & Citations
Mathematics > Probability
Title: Survival and maximum of spectrally negative branching L{é}vy processes with absorption
(Submitted on 1 Jun 2023)
Abstract: We consider a spectrally negative branching L{\'e}vy process where the particles undergo dyadic branching and are killed when entering the negative half-plane. The purpose of this short note is to give conditions under which this process dies out a.s., and then study the asymptotics of its all-time maximum.
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