Branching diffusion in inhomogeneous media

Leonid Koralov

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arXiv · 1107.1159

Branching diffusion in inhomogeneous media

Leonid Koralov

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Abstract

We investigate the long-time evolution of branching diffusion processes (starting with a finite number of particles) in inhomogeneous media. The qualitative behavior of the processes depends on the intensity of the branching. In the super-critical regime, we describe the asymptotics of the number of particles in a given domain. In the sub-critical and critical regimes, we show that the limiting number of particles is finite and describe its distribution.

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Leonid Koralov. 2011-08-21. Branching diffusion in inhomogeneous media. https://arxiv.org/abs/1107.1159

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