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Random permutation matrices under the generalized Ewens measure
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Publication details
| Journal | The Annals of Applied Probability |
|---|---|
| Date | E-pub ahead of print - 26 Mar 2012 |
| Date | Published (current) - Jun 2013 |
| Issue number | 3 |
| Volume | 23 |
| Number of pages | 38 |
| Pages (from-to) | 987-1024 |
| Early online date | 26/03/12 |
| Original language | English |
Abstract
We consider a generalisation of the Ewens measure for the symmetric group, calculating moments of the characteristic polynomial and similar multiplicative statistics. In addition we study the asymptotic behaviour of linear statistics (such as the trace of a permutation matrix or of a wreath product) under this new measure.
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