The Longtime Behavior of Branching Random Walk in a Catalytic Medium
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1. | Title | Title of document | The Longtime Behavior of Branching Random Walk in a Catalytic Medium |
2. | Creator | Author's name, affiliation, country | Andreas Greven; Universitat Erlangen-Nurnberg |
2. | Creator | Author's name, affiliation, country | Achim Klenke; Universität Erlangen - Nürnberg |
2. | Creator | Author's name, affiliation, country | Anton Wakolbinger; Johann Wolfgang Goethe-Universität |
3. | Subject | Discipline(s) | Mathematics |
3. | Subject | Keyword(s) | Branching random walk in random medium, reactant-catalyst systems, interacting particle Systems, random media. |
3. | Subject | Subject classification | 60K35 |
4. | Description | Abstract | Consider a countable collection of particles located on a countable group, performing a critical branching random walk where the branching rate of a particle is given by a random medium fluctuating both in space and time. Here we study the case where the time-space random medium (called catalyst) is also a critical branching random walk evolving autonomously while the local branching rate of the reactant process is proportional to the number of catalytic particles present at a site. The catalyst process and the reactant process typically have different underlying motions. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 1999-04-06 |
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/49 |
10. | Identifier | Digital Object Identifier | 10.1214/EJP.v4-49 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 4 |
12. | Language | English=en | en |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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