Branching Brownian Motion with spatially-homogeneous and point-catalytic branching

Sergey Bocharov; Li Wang

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arXiv · 1803.10479

Branching Brownian Motion with spatially-homogeneous and point-catalytic branching

Sergey Bocharov·Li Wang

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Abstract

We consider a model of Branching Brownian Motion in which the usual spatially-homogeneous 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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Sergey Bocharov, Li Wang. 2018-03-28. Branching Brownian Motion with spatially-homogeneous and point-catalytic branching. https://arxiv.org/abs/1803.10479

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