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A Remark on Localization for Branching Random Walks in Random Environment


 
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1. Title Title of document A Remark on Localization for Branching Random Walks in Random Environment
 
2. Creator Author's name, affiliation, country Hadrian Heil; Universität Tübingen
 
2. Creator Author's name, affiliation, country Makoto Nakashima; Kyoto University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) branching random walk; random environment; localization
 
3. Subject Subject classification 60K37;60J80;60K35;82D30
 
4. Description Abstract We prove a localization-result for branching random walks in random environment, namely that if the process does not die out, the most populated site will infinitely often contain more than a fixed percentage of the population. This had been proven already before by Hu and Yoshida, but it is possible to drop their assumption that particles may not die.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Monbukagakusho, JSPS
 
7. Date (YYYY-MM-DD) 2011-06-22
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1603
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1603
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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