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Fragmenting random permutations


 
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1. Title Title of document Fragmenting random permutations
 
2. Creator Author's name, affiliation, country Christina Goldschmidt; Department of Statistics, University of Oxford
 
2. Creator Author's name, affiliation, country James B Martin; Department of Statistics, University of Oxford
 
2. Creator Author's name, affiliation, country Dario Spano; Department of Statistics, University of Warwick
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Fragmentation process, random permutation, Gibbs partition, Chinese restaurant process
 
3. Subject Subject classification 60C05; 05A18
 
4. Description Abstract Problem 1.5.7 from Pitman's Saint-Flour lecture notes: Does there exist for each $n$ a fragmentation process $(\Pi_{n,k}, 1 \leq k \leq n)$ such that $\Pi_{n,k}$ is distributed like the partition generated by cycles of a uniform random permutation of $\{1,2,\ldots,n\}$ conditioned to have $k$ cycles? We show that the answer is yes. We also give a partial extension to general exchangeable Gibbs partitions.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) EPSRC
 
7. Date (YYYY-MM-DD) 2008-08-14
 
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/1402
 
10. Identifier Digital Object Identifier 10.1214/ECP.v13-1402
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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