Survival and maximum of spectrally negative branching L{\'e}vy processes with absorption
- Resource Type
- Working Paper
- Authors
- Profeta, Christophe
- Source
- Subject
- Mathematics - Probability
- Language
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.