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Random permutations with cycle weights
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Betz, Volker, Ueltschi, Daniel and Velenik, Yvan (2011) Random permutations with cycle weights. Annals of Applied Probability, Volume 21 (Number 1). pp. 312-331. doi:10.1214/10-AAP697
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Official URL: http://dx.doi.org/10.1214/10-AAP697
Abstract
We study the distribution of cycle lengths in models of nonuniform random permutations with cycle weights. We identify several regimes. Depending on the weights, the length of typical cycles grows like the total number n of elements, or a fraction of n or a logarithmic power of n.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Permutations, Probabilities | ||||
| Journal or Publication Title: | Annals of Applied Probability | ||||
| Publisher: | Institute of Mathematical Statistics | ||||
| ISSN: | 1050-5164 | ||||
| Official Date: | February 2011 | ||||
| Dates: |
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| Volume: | Volume 21 | ||||
| Number: | Number 1 | ||||
| Page Range: | pp. 312-331 | ||||
| DOI: | 10.1214/10-AAP697 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC), National Science Foundation (U.S.) (NSF), Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung [Swiss National Science Foundation] (SNSF) | ||||
| Grant number: | EP/D07181X/1 (EPSRC), DMS-0601075 (NSF) |
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