Total progeny in killed branching random walk. Probability Theory and Related Fields, pp.265-295, 2011. ,
DOI : 10.1007/s00440-010-0299-2
URL : https://hal.archives-ouvertes.fr/hal-01220798
On combinatorial testing problems. The Annals of Statistics, pp.3063-309210, 2010. ,
Critical Random Graphs: Limiting Constructions and Distributional Properties, Electronic Journal of Probability, vol.15, issue.0, pp.741-775, 2010. ,
DOI : 10.1214/EJP.v15-772
URL : http://arxiv.org/abs/0908.3629
The continuum limit of critical random graphs. Probability Theory and Related Fields, pp.367-406, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00773370
The scaling limit of the minimum spanning tree of the complete graph, submitted, pp.60-2013 ,
Cutting down trees with a Markov chainsaw, The Annals of Applied Probability, vol.24, issue.6, 2011. ,
DOI : 10.1214/13-AAP978
URL : https://hal.archives-ouvertes.fr/hal-00773364
Effective resistance of random trees, The Annals of Applied Probability, vol.19, issue.3, pp.1092-110710, 2009. ,
DOI : 10.1214/08-AAP572
The Longest Minimum-Weight Path in a Complete Graph, Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees Combinatorics and Probability, volume AG of DMTCS Proc, pp.1-19, 2006. ,
DOI : 10.1017/S0963548399003892
Critical random graphs and the structure of a minimum spanning tree. Random Structures Algorithms, pp.323-347, 2009. ,
Large Deviations for the Weighted Height of an Extended Class of Trees, Algorithmica, vol.46, issue.3-4, pp.271-297, 2006. ,
DOI : 10.1007/s00453-006-0112-x
The height of list tries and TST, International Conference on Analysis of Algorithms, volume AH of DMTCS Proceedings, pp.271-282, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-01184784
An analysis of the height of tries with random weights on the edges Connectivity threshold for Bluetooth graphs. Random Structures and Algorithms, to appear, Combinatorics, Probability and Computing, pp.161-202, 2008. ,
Weighted height of random trees, Acta Informatica, vol.13, issue.1???2, pp.237-277, 2008. ,
DOI : 10.1007/s00236-008-0069-0
Note on the Structure of Kruskal???s Algorithm, Algorithmica, vol.36, issue.1, pp.141-156, 2010. ,
DOI : 10.1007/s00453-008-9164-4
The height of increasing trees. Random Structures and Algorithms, pp.494-518, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-01219519
Longest Path Distance in Random Circuits, Combinatorics, Probability and Computing, vol.21, issue.06, pp.856-881, 2008. ,
DOI : 10.1007/s00453-001-0044-4
URL : https://hal.archives-ouvertes.fr/hal-00773368
The distribution of height and diameter in random non-plane binary trees, Random Structures & Algorithms, vol.4, issue.2, pp.215-252, 2012. ,
DOI : 10.1002/rsa.20393
URL : https://hal.archives-ouvertes.fr/hal-00773369
The total path length of split trees, The Annals of Applied Probability, vol.22, issue.5, pp.1745-177710, 2012. ,
DOI : 10.1214/11-AAP812
URL : https://hal.archives-ouvertes.fr/hal-00773367
Asymptotics of trees with a prescribed degree sequence and applications . Random Structures and Algorithms, to appear ,
Partial match queries in random quadtrees, Proceedings of the ACM-SIAM Symposium on Discrete Algorithms (SODA), pp.1056-1065, 2012. ,
DOI : 10.1137/1.9781611973099.83
URL : https://hal.archives-ouvertes.fr/hal-00773365
A limit process for partial match queries in random quadtrees. The Annals of Applied Probability, to appear, pp.1202-1342, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00773363
The dual tree of a recursive triangulation of the disk, The Annals of Probability, vol.43, issue.2, 2012. ,
DOI : 10.1214/13-AOP894
URL : https://hal.archives-ouvertes.fr/hal-00773362
The forest associated with the record process on a L??vy tree, Stochastic Processes and their Applications, vol.123, issue.9 ,
DOI : 10.1016/j.spa.2013.04.017
Random Structures & Algorithms The random walk construction of uniform spanning trees and uniform labelled trees [4] D. Aldous. The continuum random tree II: an overview Asymptotic fringe distibutions for general families of random trees [6] D. Aldous. The continuum random tree. I. The Annals of Probability [7] D. Aldous. The continuum random tree III. The Annals of Probability Recursive self-similarity for random trees, random triangulations and Brownian excursion. The Annals of Probability, Stochastic Analysis, pp.253-261450, 1990. ,
Brownian excursions, critical random graphs and the multiplicative coalescent. The Annals of Probability, pp.812-854, 1997. ,
Brownian bridge asymptotics for random mappings. Random Structures and Algorithms, pp.487-512, 1994. ,
URL : https://hal.archives-ouvertes.fr/hal-00102164
The standart additive coalescent. The Annals of Probability, pp.1703-1726, 1998. ,
The Objective Method: Probabilistic Combinatorial Optimization and Local Weak Convergence, Discrete and Combinatorial Probability, pp.1-72, 2003. ,
DOI : 10.1007/978-3-662-09444-0_1
On a random graph with immigrating vertices: Emergence of the giant component. Random Structures and Algorithms, pp.79-102, 2000. ,
Branching Processes, 1972. ,
DOI : 10.1007/978-3-642-65371-1
The asymptotic number of labeled graphs with given degree sequences, Journal of Combinatorial Theory, Series A, vol.24, issue.3, pp.296-307, 1978. ,
DOI : 10.1016/0097-3165(78)90059-6
Recent progress in coalescent theory, Ensaios Matematicos, vol.16, pp.1-193, 2009. ,
A fragmentation process connected to Brownian motion. Probability Theory and Related Fields, pp.289-301, 2000. ,
Random fragmentation and coagulation processes, 2006. ,
DOI : 10.1017/CBO9780511617768
URL : https://hal.archives-ouvertes.fr/hal-00103015
Asymptotic Laws for Nonconservative Self-similar Fragmentations, Electronic Journal of Probability, vol.9, issue.0, pp.575-593, 2004. ,
DOI : 10.1214/EJP.v9-215
URL : https://hal.archives-ouvertes.fr/hal-00103546
Asymptotics in Knuth's parking problem for caravans, Random Structures and Algorithms, vol.3, issue.1, pp.38-55, 2006. ,
DOI : 10.1002/rsa.20092
Path transformations connecting Brownian bridge, excursion and meander, Bull. Sci. Math, vol.118, pp.147-166, 1994. ,
Fire on trees. arXiv:1011.2308v2 [math, 2011. ,
The cut-tree of large Galton???Watson trees and the Brownian CRT, The Annals of Applied Probability, vol.23, issue.4, 2012. ,
DOI : 10.1214/12-AAP877
URL : https://hal.archives-ouvertes.fr/hal-00661574
Novel scaling limits for critical inhomogeneous random graphs, The Annals of Probability, vol.40, issue.6, 2009. ,
DOI : 10.1214/11-AOP680
Scaling Limits for Critical Inhomogeneous Random Graphs with Finite Third Moments, Electronic Journal of Probability, vol.15, issue.0, 2012. ,
DOI : 10.1214/EJP.v15-817
The evolution of random graphs. Transactions of the, pp.257-274, 1984. ,
Random Graphs. Cambridge Studies in Advanced Mathematics, 2001. ,
A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs, European Journal of Combinatorics, vol.1, issue.4, pp.311-316, 1980. ,
DOI : 10.1016/S0195-6698(80)80030-8
Generating random spanning trees, 30th Annual Symposium on Foundations of Computer Science, pp.442-447, 1989. ,
DOI : 10.1109/SFCS.1989.63516
Phase transition for parking blocks, Brownian excursion and coalescence. Random Structures & Algorithms, pp.76-119, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00003777
Merging costs for the additive Marcus?Lushnikov process, and union-find algorithms. arXiv:math, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00001664
Partial match queries in two-dimensional quadtrees: a probabilistic approach, Advances in Applied Probability, vol.9, issue.01, pp.178-194, 2011. ,
DOI : 10.1137/S0097539702412131
URL : https://hal.archives-ouvertes.fr/hal-00518352
Random recursive triangulation of the disk via fragmentation theory. The Annals of Probability, pp.2224-2270, 2011. ,
THE AVERAGE HEIGHT OF PLANTED PLANE TREES, Graph Theory and Computing, pp.15-22, 1972. ,
DOI : 10.1016/B978-1-4832-3187-7.50007-6
The shape of unlabeled rooted random trees, European Journal of Combinatorics, vol.31, issue.8, pp.2028-2063, 2010. ,
DOI : 10.1016/j.ejc.2010.05.011
Random trees, Levy processes and spacial branching processes, volume 281 of Asterisque, 2002. ,
Probabilistic and fractal aspects of Lévy trees. Probability Theory and Related Fields, pp.553-603, 2005. ,
Functionals of Brownian meander and Brownian excursion. The Annals of Probability, pp.130-135, 1977. ,
??ber die Statistik verketteter Vorg??nge, Zeitschrift fur Angewandte Mathematik und Mechanik, pp.279-289, 1923. ,
DOI : 10.1002/zamm.19230030407
On the evolution of random graphs, Publ. Math. Inst. Hungar. Acad. Sci, vol.5, pp.17-61, 1960. ,
Probability and real trees, École d'Été de Probabilités de Saint-Flour XXXV-2005, Lecture Notes in Mathematics, 1920. ,
Fractal Geometry: Mathematical Foundations and Applications, 1990. ,
DOI : 10.1002/0470013850
An Introduction to Probability Theory and its Applications, volume II, 1971. ,
Destruction of Very Simple Trees, Algorithmica, vol.46, issue.3-4, pp.345-366, 2006. ,
DOI : 10.1007/s00453-006-0100-1
Quad trees a data structure for retrieval on composite keys, Acta Informatica, vol.4, issue.1, pp.1-19, 1974. ,
DOI : 10.1007/BF00288933
The average height of binary trees and other simple trees, Journal of Computer and System Sciences, vol.25, issue.2, pp.171-213, 1982. ,
DOI : 10.1016/0022-0000(82)90004-6
URL : https://hal.archives-ouvertes.fr/inria-00076505
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
Partial match retrieval of multidimensional data, Journal of the ACM, vol.33, issue.2, pp.371-407, 1986. ,
DOI : 10.1145/5383.5453
URL : https://hal.archives-ouvertes.fr/inria-00076325
Analytic Combinatorics, 2009. ,
DOI : 10.1017/CBO9780511801655
URL : https://hal.archives-ouvertes.fr/inria-00072739
Analytic variations on quadtrees, Algorithmica, vol.32, issue.4, pp.473-500, 1993. ,
DOI : 10.1007/BF01891833
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.53.6772
Hypergeometrics and the cost structure of quadtrees. Random Structures and Algorithms, pp.117-144, 1995. ,
URL : https://hal.archives-ouvertes.fr/inria-00074422
Algorithmic theory of random graphs. Random Structures and Algorithms, pp.5-42, 1997. ,
The degree profile of random P??lya trees, Journal of Combinatorial Theory, Series A, vol.119, issue.7, pp.1528-1557, 2012. ,
DOI : 10.1016/j.jcta.2012.04.007
Critical random hypergraphs: The emergence of a giant set of identifiable vertices. The Annals of Probability, pp.1573-1600, 2005. ,
Metric Structures for Riemannian and Non-Riemannian Spaces, 1999. ,
The Genealogy of Self-similar Fragmentations with Negative Index as a Continuum Random Tree, Electronic Journal of Probability, vol.9, issue.0, pp.57-97, 2004. ,
DOI : 10.1214/EJP.v9-187
URL : https://hal.archives-ouvertes.fr/hal-00000995
Scaling limits of Markov branching trees with applications to Galton?Watson and random unordered trees. The Annals of Probability, pp.2589-2666, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00464337
Graphical Enumeration, 1973. ,
DOI : 10.1007/bfb0066432
The Theory of Branching Processes, 1963. ,
DOI : 10.1007/978-3-642-51866-9
The random parking problem, Journal of Statistical Physics, vol.15, issue.3-4, pp.865-869, 1989. ,
DOI : 10.1007/BF01022837
Critical behavior in inhomogeneous random graphs. Random Structures and Algorithms, 2012. ,
Random Records and Cuttings in Complete Binary Trees, Mathematics and Computer Science III: Algorithms, Trees, Combinatorics and Probability (Vienna), pp.242-253, 2004. ,
DOI : 10.1007/978-3-0348-7915-6_24
Random cutting and records in deterministic and random trees, Random Structures and Algorithms, vol.12, issue.2, pp.139-179, 2006. ,
DOI : 10.1002/rsa.20086
A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution, Combinatorics, Probability and Computing, vol.16, issue.04, pp.631-658, 2007. ,
DOI : 10.1017/S0963548306008327
Random Graphs, 2000. ,
DOI : 10.1002/9781118032718
The component sizes of a critical random graph with pre-described degree sequence. ArXiv:1012.2352 [math, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00545815
The distribution of the maximum Brownian excursion, Journal of Applied Probability, vol.13, issue.02, pp.371-376, 1976. ,
DOI : 10.1007/BF00535106
The incipient infinite cluster in two-dimensional percolation. Probability theory and related fields, pp.369-394, 1986. ,
Invariance principles for Galton???Watson trees conditioned on the number of leaves, Stochastic Processes and their Applications, pp.3126-3172, 2012. ,
DOI : 10.1016/j.spa.2012.05.013
Isolating a Leaf in Rooted Trees via Random Cuttings, Annals of Combinatorics, vol.12, issue.1, pp.81-99, 2008. ,
DOI : 10.1007/s00026-008-0338-1
Isolating nodes in recursive trees, Aequationes mathematicae, vol.76, issue.3, pp.258-280, 2008. ,
DOI : 10.1007/s00010-008-2929-7
The uniform random tree in a Brownian excursion. Probability Theory and Related Fields, pp.369-383, 1993. ,
Random trees and applications, Probability Surveys, vol.2, issue.0, pp.245-311, 2005. ,
DOI : 10.1214/154957805100000140
Random real trees Annales de la faculté des sciences de Toulouse Ser, pp.35-62, 2006. ,
Branching processes in Levy processes: The exploration process. The Annals of Probability, pp.213-252, 1998. ,
Component behavior near the critical point of the random graph process, Random Structures & Algorithms, vol.25, issue.3, pp.287-310, 1990. ,
DOI : 10.1002/rsa.3240010305
The structure of random graphs at the point of transition. Transactions of the, pp.721-748, 1994. ,
The CRT is the scaling limit of unordered binary trees, Random Structures & Algorithms, vol.49, issue.4, pp.467-501, 2011. ,
DOI : 10.1002/rsa.20332
URL : https://hal.archives-ouvertes.fr/hal-00364487
The depth first processes of Galton?watson trees converge to the same Brownian excursion. The Annals of Probability, pp.1655-1678, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00307494
Partial match queries in relaxed multidimensional search trees, Algorithmica, vol.7, issue.1, pp.181-204, 2001. ,
DOI : 10.1007/BF02679618
Cutting down random trees, Journal of the Australian Mathematical Society, vol.38, issue.03, pp.313-324, 1970. ,
DOI : 10.1112/jlms/s1-33.4.471
Cutting down recursive trees, Mathematical Biosciences, vol.21, issue.3-4, pp.173-181, 1974. ,
DOI : 10.1016/0025-5564(74)90013-3
On the altitude of nodes in random trees, Journal canadien de math??matiques, vol.30, issue.5, pp.997-1015, 1978. ,
DOI : 10.4153/CJM-1978-085-0
A critical point for random graphs with a given degree sequence, Random Structures & Algorithms, vol.3, issue.2-3, pp.161-179, 1995. ,
DOI : 10.1002/rsa.3240060204
The Size of the Giant Component of a Random Graph with a Given Degree Sequence, Combinatorics, Probability and Computing, vol.7, issue.3, pp.295-305, 1998. ,
DOI : 10.1017/S0963548398003526
Critical percolation on random regular graphs. Random Structures & Algorithms, pp.111-148, 2010. ,
Asymptotic distributions for partial match queries in K-d trees. Random Structures and Algorithms, pp.403-427, 2000. ,
Limit laws for partial match queries in quadtrees, The Annals of Applied Probability, vol.11, issue.2, pp.452-469, 2001. ,
DOI : 10.1214/aoap/1015345300
On a functional contraction method, The Annals of Probability, vol.43, issue.4, 2012. ,
DOI : 10.1214/14-AOP919
The Number of Trees, The Annals of Mathematics, vol.49, issue.3, pp.583-599, 1948. ,
DOI : 10.2307/1969046
Non-crossing trees revisited: cutting down and spanning subtrees, Discrete random walks volume AC of DMTCS, pp.265-276, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-01183922
Cutting down very simple trees, Quaestiones Mathematicae, vol.29, issue.2, pp.211-228, 2006. ,
DOI : 10.2989/16073600609486160
Coalescent Random Forests, Journal of Combinatorial Theory, Series A, vol.85, issue.2, pp.165-193, 1999. ,
DOI : 10.1006/jcta.1998.2919
Combinatorial stochastic processes, Lecture Notes in Mathematics, vol.1875, 2006. ,
Kombinatorische Anzahlbestimmungen f??r Gruppen, Graphen und chemische Verbindungen, Acta Mathematica, vol.68, issue.0, pp.145-254, 1937. ,
DOI : 10.1007/BF02546665
Combinatorial enumeration of groups, graphs and chemical compounds, 1987. ,
DOI : 10.1007/978-1-4612-4664-0
On a one-dimensional problem concering random space-filling, Publ. Math. Inst. Hungar. Acad. Sci, vol.3, pp.109-127, 1958. ,
On the height of trees, Journal of the Australian Mathematical Society, vol.4, issue.04, pp.497-507, 1967. ,
DOI : 10.1007/BF02559539
The Phase Transition in the Configuration Model, Combinatorics, Probability and Computing, vol.21, issue.1-2, 2011. ,
DOI : 10.1017/S0963548311000666
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, 2011. ,
DOI : 10.1214/13-AIHP594
Probability Theory -An Analytic View, 2011. ,
Diffusion approximation for the components in critical inhomogeneous random graphs of rank 1., Random Structures & Algorithms, vol.20, issue.4, 2009. ,
DOI : 10.1002/rsa.20503