Systems of branching, annihilating, and coalescing particles

Athreya, Siva R. ; Swart, Jan M. (2012) Systems of branching, annihilating, and coalescing particles Electronic Journal of Probability, 17 . Article ID 80, 32 pages. ISSN 1083-6489


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This paper studies systems of particles following independent random walks and subject to annihilation, binary branching, coalescence, and deaths. In the case without annihilation, such systems have been studied in our 2005 paper "Branching-coalescing particle systems". The case with annihilation is considerably more difficult, mainly as a consequence of the non monotonicity of such systems and a more complicated duality. Nevertheless, we show that adding annihilation does not significantly change the long-time behavior of the process and in fact, systems with annihilation can be obtained by thinning systems without annihilation.

Item Type:Article
Source:Copyright of this article belongs to Institute of Mathematical Statistics.
Keywords:Reaction-diffusion Process; Branching; Coalescence; Annihilation; Thinning; Poissonization
ID Code:99916
Deposited On:18 Nov 2016 10:01
Last Modified:18 Nov 2016 10:01

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