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Branching brownian motion with an inhomogeneous breeding potential

J. W. HarrisS. C. Harris — 2009

Annales de l'I.H.P. Probabilités et statistiques

This article concerns branching brownian motion (BBM) with dyadic branching at rate || for a particle with spatial position ∈ℝ, where >0. It is known that for >2 the number of particles blows up almost surely in finite time, while for =2 the expected number of particles alive blows up in finite time, although the number of particles alive remains finite almost surely, for all time. We define the right-most particle, , to be the supremum of the spatial positions of the...

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