Random permutation matrices under the generalized Ewens measure
Probability
2013-03-14 v2
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.
Cite
@article{arxiv.1109.5010,
title = {Random permutation matrices under the generalized Ewens measure},
author = {Christopher Hughes and Joseph Najnudel and Ashkan Nikeghbali and Dirk Zeindler},
journal= {arXiv preprint arXiv:1109.5010},
year = {2013}
}
Comments
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)