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Cycle structure of random permutations with cycle weights
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Ercolani, Nicholas M. and Ueltschi, Daniel. (2012) Cycle structure of random permutations with cycle weights. Random Structures & Algorithms . ISSN 1042-9832 (In Press)
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Official URL: http://dx.doi.org/10.1002/rsa.20430
Abstract
We investigate the typical cycle lengths, the total number of cycles, and the number of finite cycles in random permutations whose probability involves cycle weights. Typical cycle lengths and total number of cycles depend strongly on the parameters, while the distributions of finite cycles are usually independent Poisson random variables.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Random Structures & Algorithms |
| Publisher: | John Wiley & Sons, Inc. |
| ISSN: | 1042-9832 |
| Date: | 2012 |
| Identification Number: | 10.1002/rsa.20430 |
| Status: | Peer Reviewed |
| Publication Status: | In Press |
| Access rights to Published version: | Restricted or Subscription Access |
| Description: | Forthcoming |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48453 |
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