Geodesic
Random permutations: the general parametric model
Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 105-112

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We suggest a new approach to the study of the structural properties of random permutations based on defining some general parametric measure on the set $S_n$ of all permutations of degree $n$ which assigns to a permutation with cyclic structure $a=(a_1,\dots,a_n)$ the probability proportional to $\prod_{i=1}^n\theta_i^{a_i}$, where $\theta=(\theta_1,\dots,\theta_n)$ is a parameter of the measure. 
@article{DM_2006_18_4_a9,
     author = {G. I. Ivchenko and Yu. I. Medvedev},
     title = {Random permutations: the general parametric model},
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     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2006_18_4_a9/}
}
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G. I. Ivchenko; Yu. I. Medvedev. Random permutations: the general parametric model. Diskretnaya Matematika, Tome 18 (2006) no. 4, pp. 105-112. http://geodesic.mathdoc.fr/item/DM_2006_18_4_a9/