J. P. Bell, S. N. Burris, and K. A. Yeats, Counting rooted trees: the universal law t(n) ? C? ?n n ?3/2, Electron. J. Combin, vol.13, issue.64, p.pp, 2006.

J. P. Bell, S. N. Burris, and K. A. Yeats, Characteristic points of recursive systems, 2009.

J. Bouttier, P. D. Francesco, and E. Guitter, Geodesic distance in planar graphs, Nuclear Physics B, vol.663, issue.3, pp.535-567, 2003.
DOI : 10.1016/S0550-3213(03)00355-9

URL : https://hal.archives-ouvertes.fr/hal-00586662

M. Bousquet-mélou, Limit laws for embedded trees: Applications to the integrated superBrownian excursion, Random Structures and Algorithms, vol.15, issue.4, pp.475-523, 2006.
DOI : 10.1002/rsa.20136

[. Deimling, Nonlinear functional analysis, 1985.
DOI : 10.1007/978-3-662-00547-7

M. Drmota, Systems of functional equations Random Structures Algorithms Average-case analysis of algorithms (Dagstuhl, pp.103-124, 1995.

M. Drmota, Random trees. SpringerWienNewYork, Vienna, 2009. An interplay between combinatorics and probability
URL : https://hal.archives-ouvertes.fr/inria-00001281

P. Flajolet and A. 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

T. Kato, Perturbation theory for linear operators Die Grundlehren der mathematischen Wissenschaften, 1966.

E. Donald and . Knuth, The art of computer programming, Series in Computer Science and Information Processing, 1975.

M. G. Kre?-in and M. A. Rutman, Linear operators leaving invariant a cone in a Banach space, Amer. Math. Soc. Translation, issue.26, p.128, 1950.

P. Steven and . Lalley, Finite range random walk on free groups and homogeneous trees, Ann. Probab, vol.21, issue.4, pp.2087-2130, 1993.

P. Steven and . Lalley, Random walks on regular languages and algebraic systems of generating functions In Algebraic methods in statistics and probability (Notre Dame, Contemp. Math, vol.287, pp.201-230, 2000.

P. Steven and . Lalley, Random walks on infinite free products and infinite algebraic systems of generating functions, 2002.

H. Prodinger, The kernel method: a collection of examples, Sém. Lothar. Combin, vol.50, issue.19, p.4, 2003.

A. R. Woods, Coloring rules for finite trees, and probabilities of monadic second order sentences. Random Structures Algorithms, pp.453-485, 1997.

E. Zeidler, Nonlinear functional analysis and its applications. I Fixed-point theorems, 1986.
DOI : 10.1007/978-1-4612-0985-0