Systems of branching, annihilating, and coalescing particles

0381108 - ÚTIA 2013 RIV US eng J - Journal Article
Athreya, S. R. - Swart, Jan M.
Systems of branching, annihilating, and coalescing particles.
Electronic Journal of Probability. Roč. 17, č. 80 (2012), s. 1-32. ISSN 1083-6489. E-ISSN 1083-6489
R&D Projects: GA ČR GAP201/10/0752
Institutional support: RVO:67985556
Keywords : reaction-diffusion process * branching * coalescence * annihilation * thinning * Poissonization
Subject RIV: BA - General Mathematics
Impact factor: 0.785, year: 2012
http://library.utia.cas.cz/separaty/2012/SI/swart-0381108.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0211648