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Systems of branching, annihilating, and coalescing particles
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SYSNO ASEP 0381108 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Systems of branching, annihilating, and coalescing particles Author(s) Athreya, S. R. (IN)
Swart, Jan M. (UTIA-B) RID, ORCIDNumber of authors 2 Source Title Electronic Journal of Probability. - : Institute of Mathematical Statistics - ISSN 1083-6489
Roč. 17, č. 80 (2012), s. 1-32Number of pages 32 s. Language eng - English Country US - United States Keywords reaction-diffusion process ; branching ; coalescence ; annihilation ; thinning ; Poissonization Subject RIV BA - General Mathematics R&D Projects GAP201/10/0752 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000309395000001 EID SCOPUS 84867132831 DOI 10.1214/EJP.v17-2003 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2013
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