0381108 20240103201248.820121031235959.9 000309395000001 84867132831 10.1214/EJP.v17-2003 32 s. cav_un_epca*00419541083-64891780 (2012)1-32Institute of Mathematical Statistics reaction-diffusion process branching coalescence annihilation thinning Poissonization cav_un_auth*0284764 Athreya S. R. IN cav_un_auth*0217893 Swart Jan M. Stochastická informatika Department of Stochastic Informatics SI SI UTIA-B Department of Stochastic Informatics Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2012/SI/swart-0381108.pdf GAP201/10/0752 GA ČR cav_un_auth*0263519 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. 2013 BA 2 4 A 4a 20231122135219.2 RVO:67985556 http://hdl.handle.net/11104/0211648 STATISTICSPROBABILITY 0.922 0.113 4.9 0.0075 1.1 611 106 21 1.481 24.5 0.79 Q1 66.489 43.162 Q2 Q1 2012 Soubory v repozitáři: swart-0381108.pdf 84867132831 SCOPUS 000309395000001 WOS cav_un_epca*0041954 Electronic Journal of Probability 1083-6489 1083-6489 Roč. 17 č. 80 2012 1 32 Institute of Mathematical Statistics