On the number of cycles in a random permutation

Details On the number of cycles in a random permutation On the number of cycles in a random permutation

2012-03-19

arxiv.org/abs/1203.4132v1

Mathematics

Probability

15 pages, no figures

Scientific paper

We show that the number of cycles in a random permutation chosen according to
generalized Ewens measure is normally distributed and compute asymptotic
estimates for the mean and variance.

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