Random permutation matrices under the generalized Ewens measure
arXiv:1109.5010 · doi:10.1214/12-AAP862
Abstract
We consider a generalization of the Ewens measure for the symmetric group, calculating moments of the characteristic polynomial and similar multiplicative statistics. In addition, we study the asymptotic behavior of linear statistics (such as the trace of a permutation matrix or of a wreath product) under this new measure.
Published in at http://dx.doi.org/10.1214/12-AAP862 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)