Asymptotic probability distributions of some permutation statistics for the wreath product Cr \ Sn

Chak-On Chow, Toufik Mansour

Research output: Contribution to journalArticlepeer-review

Abstract

We present in this work results on some distributions of permutation statistics of random elements of the wreath product Gr,n = Cr Sn. We consider the distribution of the descent number, the flag major index, the excedance, and the number of fixed points, over the whole group Gr,n or over the subclasses of derangements and involutions. We compute the mean, variance and moment generating function, and establish the asymptotic distributions of these statistics.
Original languageEnglish
Article numberArticle #2
Number of pages14
JournalOnline Analytic Journal of Combinatorics
Volume7
StatePublished - 25 Dec 2012

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