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Fragmentation of Ordered Partitions and Intervals


 
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1. Title Title of document Fragmentation of Ordered Partitions and Intervals
 
2. Creator Author's name, affiliation, country Anne-Laure Basdevant; Université Paris VI
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Interval fragmentation; exchangeable compositions
 
3. Subject Subject classification 60J25; 60G09
 
4. Description Abstract Fragmentation processes of exchangeable partitions have already been studied by several authors. This paper deals with fragmentations of exchangeable compositions, i.e. partitions of $\mathbb{N}$ in which the order of the blocks matters. We will prove that such a fragmentation is bijectively associated to an interval fragmentation. Using this correspondence, we then study two examples: Ruelle's interval fragmentation and the interval fragmentation derived from the standard additive coalescent.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-05-29
 
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/323
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-323
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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