Random permutation matrices under the generalized Ewens measure

Christopher Hughes; Joseph Najnudel; Ashkan Nikeghbali; Dirk Zeindler

doi:10.1214/12-AAP862

Random permutation matrices under the generalized Ewens measure

Christopher Hughes, Joseph Najnudel, Ashkan Nikeghbali, Dirk Zeindler

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	987-1024
Number of pages	38
Journal	The Annals of Applied Probability
Volume	23
Issue number	3
Early online date	26 Mar 2012
DOIs	https://doi.org/10.1214/12-AAP862
Publication status	Published - Jun 2013

Access to Document

10.1214/12-AAP862

http://arxiv.org/abs/1109.5010

Cite this

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title = "Random permutation matrices under the generalized Ewens measure",

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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