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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, Vol.21 (No.1). pp. 312-331. ISSN 1050-5164
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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 > Mathematics |
| Journal or Publication Title: | Annals of Applied Probability |
| Publisher: | Institute of Mathematical Statistics |
| ISSN: | 1050-5164 |
| Date: | February 2011 |
| Volume: | Vol.21 |
| Number: | No.1 |
| Page Range: | pp. 312-331 |
| Identification Number: | 10.1214/10-AAP697 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/41726 |
Data sourced from Thomson Reuters' Web of Knowledge
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