• Corpus ID: 240354684

A branching particle system as a model of semi pushed fronts

@inproceedings{Tourniaire2021ABP,
  title={A branching particle system as a model of semi pushed fronts},
  author={Julie Tourniaire},
  year={2021}
}
We consider a system of particles performing a one-dimensional dyadic branching Brownian motion with space-dependent branching rate, negative drift −μ and killed upon reaching 0, starting with N particles. More precisely, particles branch at rate ρ/2 in the interval [0, 1], for some ρ > 1, and at rate 1/2 in (1,+∞). The drift μ(ρ) is chosen in such a way that, heuristically, the system is critical in some sense: the number of particles stays roughly constant before it eventually dies out. This… 

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