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2012 Systems of branching, annihilating, and coalescing particles
Siva Athreya, Jan Swart
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Electron. J. Probab. 17: 1-32 (2012). DOI: 10.1214/EJP.v17-2003

Abstract

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.

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Siva Athreya. Jan Swart. "Systems of branching, annihilating, and coalescing particles." Electron. J. Probab. 17 1 - 32, 2012. https://doi.org/10.1214/EJP.v17-2003

Information

Accepted: 25 September 2012; Published: 2012
First available in Project Euclid: 4 June 2016

zbMATH: 1252.82064
MathSciNet: MR2981905
Digital Object Identifier: 10.1214/EJP.v17-2003

Subjects:
Primary: 82C22
Secondary: 60K35, 92D25

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Vol.17 • 2012
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