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Fragmenting random permutations

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Goldschmidt, C. (Christina), Martin, James B. and Spanò, Dario (2008) Fragmenting random permutations. Electronic communications in probability, Vol.13 (No.44). pp. 461-474.

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Abstract

Problem 1.5.7 from Pitman's Saint-Flour lecture notes [11]: Does there exist for each n a fragmentation process (Pi(n,k); 1 <= k <= n) such that Pi(n,k) is distributed like the partition generated by cycles of a uniform random permutation of {1, 2,...,n} conditioned to have k cycles? We show that the answer is yes. We also give a partial extension to general exchangeable Gibbs partitions.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Permutations
Journal or Publication Title: Electronic communications in probability
Publisher: University of Washington. Dept. of Mathematics
ISSN: 1083-589X
Official Date: 14 August 2008
Dates:
DateEvent
14 August 2008Published
Volume: Vol.13
Number: No.44
Number of Pages: 14
Page Range: pp. 461-474
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: EP/D065755/1 (EPSRC), GR/T21783/01 (EPSRC)

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