Geodesic
Goncharov's method and its development in the analysis of different models of random permutations
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 3, pp. 558-566

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We show the efficiency of the generating functions method first used by Goncharov who analyzed asymptotic properties of random permutations in a problem of investigating joint distributions of maximal cycle lengths of a random permutation in the Ewens model. The explicit form of the respective multidimensional Goncharov density and its generalizations are obtained.
Keywords: random permutation, random polynomial over finite field, generating function, limit theorem. 
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     title = {Goncharov's method and its development in the analysis of different models of random permutations},
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G. I. Ivchenko; Yu. I. Medvedev. Goncharov's method and its development in the analysis of different models of random permutations. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 3, pp. 558-566. http://geodesic.mathdoc.fr/item/TVP_2002_47_3_a9/