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  • 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. (en)
Title
  • Systems of branching, annihilating, and coalescing particles
  • Systems of branching, annihilating, and coalescing particles (en)
skos:prefLabel
  • Systems of branching, annihilating, and coalescing particles
  • Systems of branching, annihilating, and coalescing particles (en)
skos:notation
  • RIV/67985556:_____/12:00381108!RIV13-AV0-67985556
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I, P(GAP201/10/0752)
http://linked.open...iv/cisloPeriodika
  • 80
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 173166
http://linked.open...ai/riv/idVysledku
  • RIV/67985556:_____/12:00381108
http://linked.open...riv/jazykVysledku
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  • reaction-diffusion process; branching; coalescence; annihilation; thinning; Poissonization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [AD1940F680A2]
http://linked.open...i/riv/nazevZdroje
  • Electronic Journal of Probability
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 17
http://linked.open...iv/tvurceVysledku
  • Swart, Jan M.
  • Athreya, S. R.
http://linked.open...ain/vavai/riv/wos
  • 000309395000001
issn
  • 1083-6489
number of pages
http://bibframe.org/vocab/doi
  • 10.1214/EJP.v17-2003
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