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A Note on the Diffusive Scaling Limit for a Class of Linear Systems


 
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1. Title Title of document A Note on the Diffusive Scaling Limit 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) diffusive scaling limit, linear systems, binary contact process, potlatch process, smoothing process
 
3. Subject Subject classification 60K35;60F05, 60J25
 
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. We remark that the diffusive scaling limit proven in our previous work [NY09a] can be extended to wider class of models so that it covers the cases of potlatch/smoothing processes.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) JSPS Grant-in-Aid for Scientific Research, Kiban (C) 21540125
 
7. Date (YYYY-MM-DD) 2010-02-24
 
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/1530
 
10. Identifier Digital Object Identifier 10.1214/ECP.v15-1530
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 15
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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