# 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…

## One Citation

### Particle configurations for branching Brownian motion with an inhomogeneous branching rate

- Mathematics
- 2021

Aiming to understand the distribution of fitness levels of individuals in a large population undergoing selection, we study the particle configurations of branching Brownian motion where each…

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Aiming to understand the distribution of fitness levels of individuals in a large population undergoing selection, we study the particle configurations of branching Brownian motion where each…

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