Fluctuations of a swarm of Brownian bees

@article{Siboni2021FluctuationsOA,
  title={Fluctuations of a swarm of Brownian bees},
  author={Maor Siboni and Pavel Sasorov and Baruch Meerson},
  journal={Physical Review E},
  year={2021}
}
The “Brownian bees” model describes an ensemble of N independent branching Brownian particles. When a particle branches into two particles, the particle farthest from the origin is eliminated so as to keep the number of particles constant. In the limit of N → ∞, the spatial density of the particles is governed by the solution of a free boundary problem for a reaction-diffusion equation. At long times the particle density approaches a spherically symmetric steady state solution with a compact… 
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