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Central Limit Theorem for a Class of Linear Systems


 
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1. Title Title of document Central Limit Theorem for a Class of Linear Systems
 
2. Creator Author's name, affiliation, country Yukio Nagahata; Osaka University
 
2. Creator Author's name, affiliation, country Nobuo Yoshida; Kyoto University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) central limit theorem, linear systems, binary contact path process, diffusive behavior, delocalization
 
3. Subject Subject classification 60K35
 
4. Description Abstract We consider a class of interacting particle systems with values in $[0,∞)^{\mathbb{Z}^d}$, of which the binary contact path process is an example. For $d \geq 3$ and under a certain square integrability condition on the total number of the particles, we prove a central limit theorem for the density of the particles, together with upper bounds for the density of the most populated site and the replica overlap.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) JSPS Grant-in-Aid for Scientific Research
 
7. Date (YYYY-MM-DD) 2009-05-05
 
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/644
 
10. Identifier Digital Object Identifier 10.1214/EJP.v14-644
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 14
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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