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Spatial random permutations and Poisson-Dirichlet law of cycle lengths
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Betz, Volker and Ueltschi, Daniel (2011) Spatial random permutations and Poisson-Dirichlet law of cycle lengths. Electronic Journal of Probability, Vol.16 (No.41). ISSN 1083-6489.
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Official URL: http://128.208.128.142/~ejpecp/viewarticle.php?id=...
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Permutations | ||||
Journal or Publication Title: | Electronic Journal of Probability | ||||
Publisher: | University of Washington. Dept. of Mathematics | ||||
ISSN: | 1083-6489 | ||||
Official Date: | 6 June 2011 | ||||
Dates: |
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Volume: | Vol.16 | ||||
Number: | No.41 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 18 December 2015 | ||||
Date of first compliant Open Access: | 18 December 2015 | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||
Grant number: | EP/D07181X/1 (EPSRC), EP/G056390/1 (EPSRC) | ||||
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