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Clustering Behavior of a Continuous-Sites Stepping-Stone Model with Brownian Migration


 
Dublin Core PKP Metadata Items Metadata for this Document
 
1. Title Title of document Clustering Behavior of a Continuous-Sites Stepping-Stone Model with Brownian Migration
 
2. Creator Author's name, affiliation, country Xiaowen Zhou; Department of Mathematics and Statistics, Concordia university
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) stepping-stone model; clustering; coalescing Brownian motion
 
3. Subject Subject classification Primary: 60G17; Secondary: 60J25, 60K35
 
4. Description Abstract Clustering behavior is studied for a continuous-sites stepping-stone model with Brownian migration. It is shown that, if the model starts with the same mixture of different types of individuals over each site, then it will evolve in a way such that the site space is divided into disjoint intervals where only one type of individuals appear in each interval. Those intervals (clusters) are growing as time $t$ goes to infinity. The average size of the clusters at a fixed time $t$ is of the order of square root of $t$. Clusters at different times or sites are asymptotically independent as the difference of either the times or the sites goes to infinity.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSERC; Concordia university
 
7. Date (YYYY-MM-DD) 2003-07-03
 
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/141
 
10. Identifier Digital Object Identifier 10.1214/EJP.v8-141
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 8
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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