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Branching Brownian motion with spatially homogeneous and point-catalytic branching
Published online by Cambridge University Press: 01 October 2019
Abstract
We consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.
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- © Applied Probability Trust 2019
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