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Spatial Random Permutations and Poisson-Dirichlet Law of Cycle Lengths


 
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1. Title Title of document Spatial Random Permutations and Poisson-Dirichlet Law of Cycle Lengths
 
2. Creator Author's name, affiliation, country Volker Betz; University of Warwick; United Kingdom
 
2. Creator Author's name, affiliation, country Daniel Ueltschi; University of Warwick; United Kingdom
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Spatial random permutations, cycle weights, Poisson-Dirichlet distribution
 
3. Subject Subject classification 60K35, 82B26
 
4. Description Abstract We study spatial permutations with cycle weights that are bounded or slowly diverging. We show that a phase transition occurs at an explicit critical density. The long cycles are macroscopic and their cycle lengths satisfy a Poisson-Dirichlet law.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) EPSRC grants EP/D07181X/1 and EP/G056390/1
 
7. Date (YYYY-MM-DD) 2011-06-06
 
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/901
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-901
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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