The almost-sure population growth rate in branching Brownian motion with a quadratic breeding potential

In this note we consider a branching Brownian motion (BBM) on R{double-struck} in which a particle at spatial position y splits into two at rate βy2, where β>0 is a constant. This is a critical breeding rate for BBM in the sense that the expected population size blows up in finite time while...

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Hlavní autoři: Berestycki, J, Brunet, É, Harris, J, Harris, S
Médium: Journal article
Jazyk:English
Vydáno: 2010