On the cycle structure of the product of random maximal cycles
Miklós Bóna, Boris G. Pittel · 2017
The subject of this paper is the cycle structure of the random permutation σ of [N], which is the product of k independent random cycles of maximal length N. We use the character-based Fourier transform to study the number of cycles of σ and also the distribution of the elements of the subset [ℓ] among the cycles of σ.