Geodesic
Variance of the number of cycles of random $A$-permutation
Diskretnaya Matematika, Tome 32 (2020) no. 3, pp. 135-146

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We consider random permutations having uniform distribution on the set of all permutations of the $n$-element set with lengths of cycles belonging to a fixed set $A$ (so-called $A$-permutations). For some class of sets $A$ the asymptotic formula for the variance of the number of cycles of such permutations is obtained.
Keywords: random $A$-permutations, number of cycles, variance. 
@article{DM_2020_32_3_a10,
     author = {A. L. Yakymiv},
     title = {Variance of the number of cycles of random $A$-permutation},
     journal = {Diskretnaya Matematika},
     pages = {135--146},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2020_32_3_a10/}
}
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A. L. Yakymiv. Variance of the number of cycles of random $A$-permutation. Diskretnaya Matematika, Tome 32 (2020) no. 3, pp. 135-146. http://geodesic.mathdoc.fr/item/DM_2020_32_3_a10/