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arxiv: 1203.4132 · v1 · pith:VEQ5O23Enew · submitted 2012-03-19 · 🧮 math.PR

On the number of cycles in a random permutation

classification 🧮 math.PR
keywords cyclesnumberpermutationrandomaccordingasymptoticchosencompute
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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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