R. Arratia, A. D. Barbour, and S. Tavaré, Logarithmic combinatorial structures: a probabilistic approach, EMS Monographs in Mathematics, 2003.
DOI : 10.4171/000

A. D. Barbour and B. L. Granovsky, Random combinatorial structures: the convergent case, Journal of Combinatorial Theory, Series A, vol.109, issue.2, pp.203-220, 2005.
DOI : 10.1016/j.jcta.2004.09.001

J. P. Bell, E. A. Bender, P. J. Cameron, and L. B. Richmond, Asymptotics for the probability of connectedness and the distribution of number of components, Electron, J. Combin, vol.7, issue.22, p.pp, 2000.

F. Bergeron, G. Labelle, and P. Leroux, Combinatorial species and tree-like structures, of Encyclopedia of Mathematics and its Applications Translated from the 1994 French original by Margaret Readdy, 1998.
DOI : 10.1017/CBO9781107325913

M. Bodirsky, ´. E. Fusy, M. Kang, and S. Vigerske, Boltzmann Samplers, P??lya Theory, and Cycle Pointing, SIAM Journal on Computing, vol.40, issue.3, pp.721-769, 2011.
DOI : 10.1137/100790082

URL : http://arxiv.org/abs/1003.4546

J. Chover, P. Ney, and S. Wainger, Functions of probability measures, Journal d'Analyse Math??matique, vol.26, issue.1, pp.255-302, 1973.
DOI : 10.1007/BF02790433

P. Duchon, P. Flajolet, G. Louchard, and G. Schaeffer, Random generation of combinatorial structures: Boltzmann samplers and beyond, Proceedings of the 2011 Winter Simulation Conference (WSC), pp.577-625, 2004.
DOI : 10.1109/WSC.2011.6147745

URL : https://hal.archives-ouvertes.fr/hal-00654267

P. Embrechts, The asymptotic behaviour of series and power series with positive coefficients, Med. Konink. Acad. Wetensch. België, pp.45-86, 1983.

P. Embrechts and E. Omey, Functions of power series, Yokohama Math, J, vol.32, pp.77-88, 1984.

M. M. Erlihson and B. L. Granovsky, Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.44, issue.5, pp.915-945, 2008.
DOI : 10.1214/07-AIHP129

]. P. Flajolet, ´. E. Fusy, and C. Pivoteau, Boltzmann Sampling of Unlabelled Structures, Proceedings of the Ninth Workshop on Algorithm Engineering and Experiments and the Fourth Workshop on Analytic Algorithmics and Combinatorics, SIAM, pp.201-211, 2007.
DOI : 10.1137/1.9781611972979.5

URL : https://hal.archives-ouvertes.fr/hal-00782866

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

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

S. Foss, D. Korshunov, and S. Zachary, An introduction to heavytailed and subexponential distributions, Springer Series in Operations Research and Financial Engineering, 2013.

C. Mcdiarmid, Random graphs on surfaces, Journal of Combinatorial Theory, Series B, vol.98, issue.4, pp.778-797, 2008.
DOI : 10.1016/j.jctb.2007.11.006

L. Mutafchiev, The largest tree in certain models of random forests Random Structures and Algorithms, Proceedings of the Eighth International Conference, pp.211-228, 1997.

B. Stufler, Gibbs partitions: the convergent case, ArXiv e-prints, 2016.