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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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Official URL: http://www.math.washington.edu/~ejpecp/ECP/viewart...
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: |
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| 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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