R. Abraham and J. Delmas, Local limits of conditioned Galton-Watson trees: the condensation case, Electronic Journal of Probability, vol.19, issue.0, p.29, 2014.
DOI : 10.1214/EJP.v19-3164
URL : https://hal.archives-ouvertes.fr/hal-00909604

R. Abraham and J. Delmas, Local limits of conditioned Galton-Watson trees: the infinite spine case, Electronic Journal of Probability, vol.19, issue.0, 2014.
DOI : 10.1214/EJP.v19-2747
URL : https://hal.archives-ouvertes.fr/hal-00813145

R. Abraham and J. Delmas, Asymptotic properties of expanding Galton-Watson trees, 2017.

K. B. Athreya and P. E. Ney, Branching processes, 2004.

P. Debs, Penalisation of the Standard Random Walk by a Function of the One-Sided Maximum, of the Local Time, or of the Duration of the Excursions, Séminaire de Probabilités XLII, pp.331-363, 1979.
DOI : 10.1007/978-3-642-01763-6_12

P. Debs, Penalisation of the symmetric random walk by several functions of the supremum. Markov Process, pp.651-680, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00546159

K. Fleischmann and V. Wachtel, On the left tail asymptotics for the limit law of supercritical Galton???Watson processes in the B??ttcher case, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.45, issue.1, pp.201-225, 2009.
DOI : 10.1214/07-AIHP162

S. C. Harris and M. I. Roberts, The many-to-few lemma and multiple spines, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.53, issue.1, pp.226-242, 2017.
DOI : 10.1214/15-AIHP714

S. Janson, Simply generated trees, conditioned Galton???Watson trees, random allocations and condensation, Probability Surveys, vol.9, issue.0, pp.103-252, 2012.
DOI : 10.1214/11-PS188
URL : https://hal.archives-ouvertes.fr/hal-01197228

S. Karlin and J. Mcgregor, Embedding iterates of analytic functions with two fixed points into continuous groups, Transactions of the American Mathematical Society, vol.132, issue.1, pp.137-145, 1968.
DOI : 10.1090/S0002-9947-1968-0224790-2

H. Kesten, Subdiffusive behavior of random walk on a random cluster, Ann. Inst. H. Poincaré Probab. Statist, vol.22, issue.4, pp.425-487, 1986.

H. Kesten, P. E. Ney, and F. L. Spitzer, The Galton-Watson Process with Mean One and Finite Variance, Theory of Probability & Its Applications, vol.11, issue.4, pp.579-611, 1966.
DOI : 10.1137/1111059

Y. Ren, S. R. , and S. S. , A 2-spine decomposition of the critical Galton-Watson tree and a probabilistic proof of Yaglom's theorem, 2017.

B. Roynette, P. Vallois, and M. Yor, Limiting laws associated with Brownian motion perturbed by its maximum, minimum and local time, II, Studia Scientiarum Mathematicarum Hungarica, vol.43, issue.3, pp.295-360, 2006.
DOI : 10.1556/SScMath.43.2006.3.3
URL : https://hal.archives-ouvertes.fr/hal-00128466

B. Roynette, P. Vallois, and M. Yor, Some penalisations of the Wiener measure, Japanese Journal of Mathematics, vol.79, issue.1, pp.263-290, 2006.
DOI : 10.1007/s11537-006-0507-0
URL : https://hal.archives-ouvertes.fr/hal-00128461

B. Roynette, P. Vallois, and M. Yor, Brownian penalisations related to excursion lengths, VII, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.45, issue.2, pp.421-452, 2009.
DOI : 10.1214/08-AIHP177
URL : https://hal.archives-ouvertes.fr/hal-00591337

B. Roynette and M. Yor, Penalising Brownian Paths, 2009.
DOI : 10.1007/978-3-540-89699-9
URL : https://hal.archives-ouvertes.fr/hal-00373863

E. Seneta, Functional equations and the Galton-Watson process, Advances in Applied Probability, vol.27, issue.01, pp.1-42, 1969.
DOI : 10.1017/S1446788700006492