G. Baron and M. Drmota, Distribution properties of induced subgraphs of trees, Ars Combin, vol.35, pp.193-213, 1993.

M. Drmota, Random trees. SpringerWienNewYork, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00001281

J. A. Fill, P. Flajolet, and N. Kapur, Singularity analysis, Hadamard products, and tree recurrences, Journal of Computational and Applied Mathematics, vol.174, issue.2, pp.271-313, 2005.
DOI : 10.1016/j.cam.2004.04.014

URL : http://doi.org/10.1016/j.cam.2004.04.014

J. A. Fill and N. Kapur, Limiting distributions for additive functionals on Catalan trees, Theoretical Computer Science, vol.326, issue.1-3, pp.69-102, 2004.
DOI : 10.1016/j.tcs.2004.05.010

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

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

H. Hwang and R. Neininger, Phase Change of Limit Laws in the Quicksort Recurrence under Varying Toll Functions, SIAM Journal on Computing, vol.31, issue.6, pp.1687-1722, 2002.
DOI : 10.1137/S009753970138390X

R. E. Jamison, On the average number of nodes in a subtree of a tree, Journal of Combinatorial Theory, Series B, vol.35, issue.3, pp.207-223, 1983.
DOI : 10.1016/0095-8956(83)90049-7

S. Janson, The Wiener index of simply generated random trees. Random Structures Algorithms, pp.337-358, 2003.

A. Meir and J. W. Moon, On subtrees of certain families of rooted trees, Ars Combin, vol.16, issue.B, pp.305-318, 1983.

A. Meir and J. W. Moon, On the log-product of the subtree-sizes of random trees. Random Structures Algorithms, pp.197-212, 1998.

A. Meir and J. W. Moon, On centroid branches of trees from certain families, Discrete Mathematics, vol.250, issue.1-3, pp.153-170, 2002.
DOI : 10.1016/S0012-365X(01)00280-1

J. W. Moon, On the number of induced subgraphs of trees. Discrete Math, 15th British Combinatorial Conference, pp.487-496, 1995.

L. Takács, Conditional limit theorems for branching processes, Journal of Applied Mathematics and Stochastic Analysis, vol.4, issue.4, pp.263-292, 1991.
DOI : 10.1155/S1048953391000217

L. Takács, On the total heights of random rooted trees, Journal of Applied Probability, vol.174, issue.03, pp.543-556, 1992.
DOI : 10.1214/aop/1176993527