Limiting distribution of particles near the frontier in the catalytic branching Brownian motion

Sergey Bocharov

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arXiv · 1903.07090

Limiting distribution of particles near the frontier in the catalytic branching Brownian motion

Sergey Bocharov

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Abstract

We consider the model of branching Brownian motion with a single catalytic point at the origin and binary branching. We establish some fine results for the asymptotic behaviour of the numbers of particles travelling at different speeds and give an explicit characterisation of the spatial distribution of particles travelling at the critical speed.

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Sergey Bocharov. 2019-03-17. Limiting distribution of particles near the frontier in the catalytic branching Brownian motion. https://arxiv.org/abs/1903.07090

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