Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift

DOI10.1016/j.jfa.2017.06.006zbMath1390.60309arXiv1506.01429OpenAlexW2962917641MaRDI QIDQ2363162

Éric Brunet, Piotr Miłoś, Simon C. Harris, Julien Berestycki

Publication date: 13 July 2017

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01429

zbMATH Keywords

Dirichlet problemparabolic partial differential equationsbranching processesreaction-diffusion equations

Mathematics Subject Classification ID

Brownian motion (60J65) Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Vanishing corrections for the position in a linear model of FKPP fronts ⋮ 1-stable fluctuations in branching Brownian motion at critical temperature. I: The derivative martingale ⋮ Number of particles absorbed in a BBM on the extinction event ⋮ Total number of births on the negative half-line of the binary branching Brownian motion in the boundary case

Cites Work

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• Total progeny in killed branching random walk
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• Conceptual proofs of \(L\log L\) criteria for mean behavior of branching processes
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