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Statements

Subject Item
n2:RIV%2F67985556%3A_____%2F12%3A00381108%21RIV13-AV0-67985556
rdf:type
skos:Concept n9:Vysledek
dcterms:description
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. 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.
dcterms:title
Systems of branching, annihilating, and coalescing particles Systems of branching, annihilating, and coalescing particles
skos:prefLabel
Systems of branching, annihilating, and coalescing particles Systems of branching, annihilating, and coalescing particles
skos:notation
RIV/67985556:_____/12:00381108!RIV13-AV0-67985556
n9:predkladatel
n10:ico%3A67985556
n3:aktivita
n18:P n18:I
n3:aktivity
I, P(GAP201/10/0752)
n3:cisloPeriodika
80
n3:dodaniDat
n7:2013
n3:domaciTvurceVysledku
n14:1815350
n3:druhVysledku
n16:J
n3:duvernostUdaju
n15:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
173166
n3:idVysledku
RIV/67985556:_____/12:00381108
n3:jazykVysledku
n4:eng
n3:klicovaSlova
reaction-diffusion process; branching; coalescence; annihilation; thinning; Poissonization
n3:klicoveSlovo
n6:reaction-diffusion%20process n6:coalescence n6:branching n6:annihilation n6:Poissonization n6:thinning
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[AD1940F680A2]
n3:nazevZdroje
Electronic Journal of Probability
n3:obor
n11:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n8:GAP201%2F10%2F0752
n3:rokUplatneniVysledku
n7:2012
n3:svazekPeriodika
17
n3:tvurceVysledku
Swart, Jan M. Athreya, S. R.
n3:wos
000309395000001
s:issn
1083-6489
s:numberOfPages
32
n19:doi
10.1214/EJP.v17-2003