Random permutation matrices under the generalized Ewens measure

Details Random permutation matrices under the generalized Ewens measure Random permutation matrices under the generalized Ewens measure

2011-09-23

arxiv.org/abs/1109.5010v1

Mathematics

Probability

38 pages, 3 figures

Scientific paper

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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