Systems of branching, annihilating, and coalescing particles

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00381108" target="_blank" >RIV/67985556:_____/12:00381108 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1214/EJP.v17-2003" target="_blank" >http://dx.doi.org/10.1214/EJP.v17-2003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1214/EJP.v17-2003" target="_blank" >10.1214/EJP.v17-2003</a>

Result language
angličtina
Original language name
Systems of branching, annihilating, and coalescing particles
Original language 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP201%2F10%2F0752" target="_blank" >GAP201/10/0752: Stochastic Space-Time Systems</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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