Local limits of conditioned Galton-Watson trees: the condensation case, Electronic Journal of Probability, vol.19, issue.0, pp.1-29, 2014. ,
DOI : 10.1214/EJP.v19-3164
URL : https://hal.archives-ouvertes.fr/hal-00909604
Local limits of conditioned Galton-Watson trees: the infinite spine case, Electronic Journal of Probability, vol.19, issue.0, pp.1-19, 2014. ,
DOI : 10.1214/EJP.v19-2747
URL : https://hal.archives-ouvertes.fr/hal-00813145
Branching processes, 1972. ,
DOI : 10.1007/978-3-642-65371-1
Asymptotic cones and functions in optimization and variational inequalities, 2006. ,
Coding multitype forests: Application to the law of the total population of branching forests, Transactions of the American Mathematical Society, vol.368, issue.4, pp.2723-2747, 2016. ,
DOI : 10.1090/tran/6421
URL : https://hal.archives-ouvertes.fr/hal-00783509
A Williams decomposition for spatially dependent superprocesses, Electronic Journal of Probability, vol.18, issue.0, pp.1-43, 2013. ,
DOI : 10.1214/EJP.v18-1801
URL : https://hal.archives-ouvertes.fr/hal-00601539
On a local limit theorem of the theory of probability, Uspekhi Mat. Nauk, vol.3, issue.3, pp.187-194, 1948. ,
Limit distributions for sums of independent random variables. English translation, 1954. ,
Conditioning Galton-Watson trees on large maximal out-degree, J. of Theor. Probab, 2016. ,
Fundamentals of convex analysis, 2001. ,
DOI : 10.1007/978-3-642-56468-0
Probability Inequalities for Sums of Bounded Random Variables, Journal of the American Statistical Association, vol.1, issue.301, pp.13-30, 1963. ,
DOI : 10.1214/aoms/1177730491
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
Condensation in Nongeneric Trees, Journal of Statistical Physics, vol.9, issue.2, pp.277-313, 2011. ,
DOI : 10.1007/s10955-010-0104-8
Subdiffusive behavior of random walk on a random cluster, pp.425-487, 1986. ,
A conceptual proof of the Kesten-Stigum theorem for multitype branching processes, Classical and modern branching processes, pp.181-185, 1994. ,
The multitype measure branching process, Advances in Applied Probability, vol.22, issue.01, pp.49-67, 1990. ,
DOI : 10.1007/BF00366274
Invariance principles for spatial multitype Galton???Watson trees, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.44, issue.6, pp.1128-1161, 2007. ,
DOI : 10.1214/07-AIHP157
URL : https://hal.archives-ouvertes.fr/hal-00110242
Sur le théorème ergodique de Chung-Erd? os, C. R. Acad. Sci. Paris, vol.257, pp.2953-2955, 1963. ,
Beyond q-process: Various ways of conditioning the multitype Galton-Watson process, ALEA, vol.13, pp.223-237, 2016. ,
Scaling limits of Markov branching trees and Galton???Watson trees conditioned on the number of vertices with out-degree in a given set, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.51, issue.2, pp.512-532, 2015. ,
DOI : 10.1214/13-AIHP594
Convex analysis. Princeton Landmarks in Mathematics, 1997. ,
On domains of attraction of multi-dimensional distributions [23] F. Spitzer. Principles of random walk Local convergence of large critical multi-type Galton-Watson trees and applications to random maps, Select. Transl. Math. Statist. and Probability J. of Theor. Probab, vol.2, pp.183-205, 1961. ,
On local and ratio limit theorems. Proc. of the Fifth Berkeley sympos. on mathematical statistics and probability, pp.217-224, 1966. ,
Fédération Denis Poisson, FR 2964, Université d'Orléns, B.P. 6759, 45067 Orléans cedex 2, France E-mail address: romain.abraham@univ-orleans.fr Jean-François Delmas F-77455 Marne La Vallée, France E-mail address: delmas@cermics.enpc.fr Hongsong Guo, CERMICS (ENPC), 100083. ,