R. Arratia, A. D. Barbour, and S. Tavaré, Logarithmic Combinatorial Structures: a Probabilistic Approach, EMS Monographs in Mathematics, 2003.
DOI : 10.4171/000

G. J. Babu and E. Manstavi?ius, Limit processes with independent increments for the Ewens sampling formula, Annals of the Institute of Statistical Mathematics, vol.54, issue.3, pp.607-620, 2002.
DOI : 10.1023/A:1022419328971

P. Billingsley, Convergence of Probability Measures, 1968.
DOI : 10.1002/9780470316962

P. Flajolet and A. M. Odlyzko, Singularity Analysis of Generating Functions, SIAM Journal on Discrete Mathematics, vol.3, issue.2, pp.216-240, 1990.
DOI : 10.1137/0403019

URL : https://hal.archives-ouvertes.fr/inria-00075725

P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009.
DOI : 10.1017/CBO9780511801655

URL : https://hal.archives-ouvertes.fr/inria-00072739

J. Hansen, Order statistics for decomposable combinatorial structures, Random Structures and Algorithms, pp.517-533, 1994.

A. Hildebrand and G. Tenenbaum, On some Tauberian theorems related to the prime number theorem, Compositia Math, vol.90, pp.315-349, 1994.

E. Manstavi?ius, Mappings on Decomposable Combinatorial Structures: Analytic Approach, Combinatorics, Probability and Computing, vol.11, issue.01, pp.61-78, 2002.
DOI : 10.1017/S0963548301005016

E. Manstavi?ius, An analytic method in probabilistic combinatorics, Osaka J. Math, vol.46, pp.273-290, 2009.

E. Manstavi?ius, Total variation approximation and a functional limit theorem, Monatshefte Math, pp.313-334, 2010.

E. Manstavi?ius, Strong convergence on weakly logarithmic combinatorial assemblies, Discrete Math, pp.463-477, 2011.

E. Manstavi?ius, A limit theorem for additive functions defined on the symmetric group, Lithuanian Math, J, vol.51, pp.220-232, 2011.

D. Stark, Explicit Limits of Total Variation Distance in Approximations of Random Logarithmic Assemblies by Related Poisson Processes, Combinatorics, Probability and Computing, vol.6, issue.1, pp.87-105, 1997.
DOI : 10.1017/S0963548396002775

D. Stark, Total Variation Asymptotics for Refined Poisson Process Approximations of Random Logarithmic Assemblies, Combinatorics, Probability and Computing, vol.8, issue.6, pp.567-598, 1999.
DOI : 10.1017/S0963548399004009

A. M. Vershik, Statistical mechanics of combinatorial partitions, and their limit shapes, Functional Analysis and Its Applications, vol.164, issue.No. 1, pp.90-105, 1996.
DOI : 10.1007/BF02509449

V. Zacharovas, Voronoi summation formulae and multiplicative functions on permutations, The Ramanujan Journal, vol.41, issue.Special Issue, pp.289-329, 2011.
DOI : 10.1007/s11139-010-9263-0

A. L. Yakymiv, On permutations with the cycle lengths in a given set, Discrete Math, vol.1, pp.125-134, 1989.