Branching diffusion in inhomogeneous media
Probability
2011-08-23 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1107.1159,
title = {Branching diffusion in inhomogeneous media},
author = {Leonid Koralov},
journal= {arXiv preprint arXiv:1107.1159},
year = {2011}
}