Systems of branching, annihilating, and coalescing particles
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1. | Title | Title of document | Systems of branching, annihilating, and coalescing particles |
2. | Creator | Author's name, affiliation, country | Siva R Athreya; Indian Statistical Institute; India |
2. | Creator | Author's name, affiliation, country | Jan M Swart; UTIA; Czech Republic |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | Reaction-diffusion process, branching, coalescence, annihilation, thinning, Poissonization |
3. | Subject | Subject classification | Primary: 82C22; Secondary: 60K35, 92D25 |
4. | Description | Abstract | 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. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | GA\v{C}R |
7. | Date | (YYYY-MM-DD) | 2012-09-25 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/2003 |
10. | Identifier | Digital Object Identifier | 10.1214/EJP.v17-2003 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 17 |
12. | Language | English=en | en |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
15. | Rights | Copyright and permissions | The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free
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