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Localization for a Class of Linear Systems


 
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1. Title Title of document Localization for a Class of Linear Systems
 
2. Creator Author's name, affiliation, country Yukio Nagahata; Osaka University; Japan
 
2. Creator Author's name, affiliation, country Nobuo Yoshida; Kyoto University; Japan
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) localization; linear systems; binary contact path process; potlatch process
 
3. Subject Subject classification Primary 60K35; secondary 60J25; 60J75
 
4. Description Abstract We consider a class of continuous-time stochastic growth models on d-dimensional lattice with non-negative real numbers as possible values per site. The class contains examples such as binary contact path process and potlatch process. We show the equivalence between the slow population growth and localization property that the time integral of the replica overlap diverges. We also prove, under reasonable assumptions, a localization property in a stronger form that the spatial distribution of the population does not decay uniformly in space.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2010-05-17
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/757
 
10. Identifier Digital Object Identifier 10.1214/EJP.v15-757
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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