Quantum geometry. Cambridge Monographs on Mathematical Physics, 1997. ,
The Continuum Random Tree. I, The Annals of Probability, vol.19, issue.1, pp.1-28, 1991. ,
DOI : 10.1214/aop/1176990534
The Continuum Random Tree. I, The Annals of Probability, vol.19, issue.1, pp.248-289, 1993. ,
DOI : 10.1214/aop/1176990534
Growth and percolation on the uniform infinite planar triangulation, Geometric and Functional Analysis, vol.13, issue.5, pp.935-974, 2003. ,
DOI : 10.1007/s00039-003-0436-5
Uniform Infinite Planar Triangulations, Communications in Mathematical Physics, vol.28, issue.2-3, pp.191-213, 2003. ,
DOI : 10.1007/s00220-003-0932-3
URL : http://arxiv.org/abs/math/0207153
) model on random maps via nested loops, Journal of Physics A: Mathematical and Theoretical, vol.45, issue.4, 2011. ,
DOI : 10.1088/1751-8113/45/4/045002
A course in metric geometry The asymptotic number of rooted maps on a surface, Graduate Studies in Mathematics J. Combin. Theory Ser. A, vol.33, issue.2, pp.43244-257, 1986. ,
The number of rooted maps on an orientable surface, J. Combin. Theory Ser. B, vol.53, issue.2, pp.293-299, 1991. ,
Path transformations of first passage bridges, Electronic Communications in Probability, vol.8, issue.0, pp.155-166, 2003. ,
DOI : 10.1214/ECP.v8-1096
URL : https://hal.archives-ouvertes.fr/hal-00104803
The asymptotic number of rooted maps on a surface., Journal of Combinatorial Theory, Series A, vol.63, issue.2, pp.318-329, 1993. ,
DOI : 10.1016/0097-3165(93)90063-E
Planar maps as labeled mobiles, Electron. J. Combin, vol.11, issue.27, p.pp. (electronic), 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-00586658
Regular convergence, Duke Math. J, vol.11, pp.441-450, 1944. ,
Some unsolved problems in map enumeration, Bull. Inst. Combin. Appl, vol.3, pp.51-56, 1991. ,
Increase of a l??vy process with no positive jumps, Stochastics An International Journal of Probability and Stochastic Processes, vol.37, issue.4, pp.247-251, 1991. ,
DOI : 10.1080/17442509108833739
Scaling Limits for Random Quadrangulations of Positive Genus, Electronic Journal of Probability, vol.15, issue.0, pp.1594-1644, 2010. ,
DOI : 10.1214/EJP.v15-810
URL : https://hal.archives-ouvertes.fr/hal-00457635
The topology of scaling limits of positive genus random quadrangulations, The Annals of Probability, vol.40, issue.5, 2010. ,
DOI : 10.1214/11-AOP675
URL : https://hal.archives-ouvertes.fr/hal-00547617
Scaling limit of random planar quadrangulations with a boundary. in preparation, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00646399
The three-point function of planar quadrangulations, Journal of Statistical Mechanics: Theory and Experiment, vol.2008, issue.07, p.7020, 2008. ,
DOI : 10.1088/1742-5468/2008/07/P07020
URL : https://hal.archives-ouvertes.fr/hal-00336677
Distance statistics in quadrangulations with a boundary, or with a self-avoiding loop, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.46, p.465208, 2009. ,
DOI : 10.1088/1751-8113/42/46/465208
URL : https://hal.archives-ouvertes.fr/hal-00586654
Convergence of probability measures, 1968. ,
DOI : 10.1002/9780470316962
Probability and measure, p.593, 1995. ,
Planar diagrams, Communications in Mathematical Physics, vol.16, issue.1, pp.35-51, 1978. ,
DOI : 10.1007/BF01614153
The density of the ISE and local limit laws for embedded trees, The Annals of Applied Probability, vol.16, issue.3, pp.1597-1632, 2006. ,
DOI : 10.1214/105051606000000213
Physique statistique des surfaces aléatoires et combinatoire bijective des cartes planaires, 2005. ,
Local limit of labeled trees and expected volume growth in a random quadrangulation, The Annals of Probability, vol.34, issue.3, pp.879-917, 2006. ,
DOI : 10.1214/009117905000000774
URL : https://hal.archives-ouvertes.fr/hal-00137910
The structure of unicellular maps, and a connection between maps of positive genus and planar labeled trees. Probab. Theory Related Fields, pp.3-4415, 2010. ,
A Bijection for Rooted Maps on Orientable Surfaces, SIAM Journal on Discrete Mathematics, vol.23, issue.3, pp.1587-1611, 2009. ,
DOI : 10.1137/080720097
URL : https://hal.archives-ouvertes.fr/hal-00713482
Random planar lattices and integrated super- Brownian excursion. Probab. Theory Related Fields, pp.161-212, 2004. ,
Planar maps are well labeled trees, Journal canadien de math??matiques, vol.33, issue.5, pp.1023-1042, 1981. ,
DOI : 10.4153/CJM-1981-078-2
Random trees, Lévy processes and spatial branching processes, Astérisque, issue.281, p.147, 2002. ,
Liouville quantum gravity and KPZ, Inventiones mathematicae, vol.477, issue.2, 2008. ,
DOI : 10.1007/s00222-010-0308-1
URL : http://arxiv.org/abs/0808.1560
Markov processes Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, 1986. ,
Curves on 2-manifolds and isotopies, Acta Math, vol.115, pp.83-107, 1966. ,
Geometric measure theory Die Grundlehren der mathematischen Wissenschaften, 1969. ,
Markovian Bridges: Construction, Palm Interpretation, and Splicing, Seminar on Stochastic Processes, pp.101-134, 1992. ,
DOI : 10.1007/978-1-4612-0339-1_5
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.159.239
The number of degree restricted maps on general surfaces, Discrete Mathematics, vol.123, issue.1-3, pp.47-63, 1993. ,
DOI : 10.1016/0012-365X(93)90006-F
Convergence in distribution of random metric measure spaces (?-coalescent measure trees) Probab. Theory Related Fields, pp.285-322, 2009. ,
Metric structures for Riemannian and non-Riemannian spaces, Based on the 1981 French original [MR0682063 (85e:53051)], With appendices by M. Katz, P. Pansu and S. Semmes, Translated from the French by Sean Michael Bates, 1999. ,
An invariance principle for random walk conditioned by a late return to zero, Ann. Probability, vol.4, issue.1, pp.115-121, 1976. ,
Poisson processes, volume 3 of Oxford Studies in Probability, 1993. ,
Local structure of random quadrangulations, p.512304, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00015811
Brownian Excursions, Trees and Measure-Valued Branching Processes, The Annals of Probability, vol.19, issue.4, pp.1399-1439, 1991. ,
DOI : 10.1214/aop/1176990218
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176990218
A class of path-valued Markov processes and its applications to superprocesses. Probab. Theory Related Fields, pp.25-46, 1993. ,
Master course: mouvement brownien, processus de branchement et superprocessus Available on http, 1994. ,
Spatial branching processes, random snakes and partial differential equations, Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, 1999. ,
DOI : 10.1007/978-3-0348-8683-3
Random trees and applications, Probability Surveys, vol.2, issue.0, pp.245-311, 2005. ,
DOI : 10.1214/154957805100000140
The topological structure of scaling limits of large planar maps, Inventiones mathematicae, vol.15, issue.3, pp.621-670, 2007. ,
DOI : 10.1007/s00222-007-0059-9
Geodesics in large planar maps and in the Brownian map, Acta Mathematica, vol.205, issue.2, pp.287-360, 2010. ,
DOI : 10.1007/s11511-010-0056-5
Uniqueness and universality of the Brownian map, The Annals of Probability, vol.41, issue.4, 2011. ,
DOI : 10.1214/12-AOP792
Scaling limits of random planar maps with large faces, The Annals of Probability, vol.39, issue.1, pp.1-69, 2011. ,
DOI : 10.1214/10-AOP549
URL : https://hal.archives-ouvertes.fr/hal-00405123
Scaling limits of random trees and planar maps, Proc, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00559461
Scaling Limits of Bipartite Planar Maps are Homeomorphic to the 2-Sphere, Geometric and Functional Analysis, vol.18, issue.3, pp.893-918, 2008. ,
DOI : 10.1007/s00039-008-0671-x
Conditioned Brownian trees, Ann. Inst. H. Poincaré Probab. Statist, vol.42, issue.4, pp.455-489, 2006. ,
An invariance principle for conditioned sums of independent random variables, J. Math. Mech, vol.18, pp.559-570, 1968. ,
Graphs on surfaces and their applications, volume 141 of Encyclopaedia of Mathematical Sciences, 2004. ,
The two uniform infinite quadrangulations of the plane have the same law, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.46, issue.1, pp.190-208, 2010. ,
DOI : 10.1214/09-AIHP313
On the sphericity of scaling limits of random planar quadrangulations, Electronic Communications in Probability, vol.13, issue.0, pp.248-257, 2008. ,
DOI : 10.1214/ECP.v13-1368
URL : https://hal.archives-ouvertes.fr/hal-00200723
Random Maps and Their Scaling Limits, Fractal geometry and stochastics IV, pp.197-224, 2009. ,
DOI : 10.1007/978-3-0346-0030-9_7
Tessellations of random maps of arbitrary genus, Annales scientifiques de l'??cole normale sup??rieure, vol.42, issue.5, pp.725-781, 2009. ,
DOI : 10.24033/asens.2108
URL : https://hal.archives-ouvertes.fr/hal-00200685
The Brownian map is the scaling limit of uniform random plane quadrangulations, Acta Mathematica, vol.210, issue.2, 2011. ,
DOI : 10.1007/s11511-013-0096-8
URL : https://hal.archives-ouvertes.fr/hal-00627965
States Spaces of the Snake and Its Tour???Convergence of the Discrete Snake, Journal of Theoretical Probability, vol.16, issue.4, pp.1015-1046, 2003. ,
DOI : 10.1023/B:JOTP.0000012004.73051.f3
URL : https://hal.archives-ouvertes.fr/hal-00307497
Limit of normalized quadrangulations: The Brownian map, The Annals of Probability, vol.34, issue.6, pp.2144-2202, 2006. ,
DOI : 10.1214/009117906000000557
URL : https://hal.archives-ouvertes.fr/hal-00307498
Concerning upper semi-continuous collections of continua, Transactions of the American Mathematical Society, vol.27, issue.4, pp.416-428, 1925. ,
DOI : 10.1090/S0002-9947-1925-1501320-8
Brownian motion. Cambridge Series in Statistical and Probabilistic Mathematics, 2010. ,
Graphs on surfaces. Johns Hopkins Studies in the Mathematical Sciences, 2001. ,
Arbres et processus de Galton-Watson, Ann. Inst. H. Poincaré Probab. Statist, vol.22, issue.2, pp.199-207, 1986. ,
Sums of independent random variables Translated from the Russian by, Ergebnisse der Mathematik und ihrer Grenzgebiete, p.346, 1975. ,
Limit theorems of probability theory, volume 4 of Oxford Studies in Probability Sequences of independent random variables, 1995. ,
Continuous martingales and Brownian motion, 1999. ,
Deuxième partie: Topologie générale et analyse fonctionnelle, Collection Enseignement des Sciences, issue.11, 1970. ,
Conjugaison d'arbres et cartes combinatoires aléatoires, 1998. ,
Conformally invariant scaling limits: an overview and a collection of problems, In International Congress of Mathematicians. Eur. Math. Soc, vol.I, pp.513-543, 2007. ,
Covering the line with random intervals, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, vol.23, pp.163-170, 1972. ,
Probability theory, an analytic view [tH74] Gerardus 't Hooft. A planar diagram theory for strong interactions, Nuclear Physics B, vol.72, issue.3, pp.461-473, 1974. ,
A census of Hamiltonian polygons. Canad, J. Math, vol.14, pp.402-417, 1962. ,
A census of planar triangulations. Canad, J. Math, vol.14, pp.21-38, 1962. ,
A census of slicings, Canad. J. Math, vol.14, pp.708-722, 1962. ,
A census of planar maps. Canad, J. Math, vol.15, pp.249-271, 1963. ,
A Relation between Brownian Bridge and Brownian Excursion, The Annals of Probability, vol.7, issue.1, pp.143-149, 1979. ,
DOI : 10.1214/aop/1176995155
URL : http://projecteuclid.org/download/pdf_1/euclid.aop/1176995155
On sequences and limiting sets, Fund. Math, vol.25, pp.408-426, 1935. ,
Regular convergence and monotone transformations, Amer. J. Math, vol.57, issue.4, pp.902-906, 1935. ,
Counting rooted maps by genus. I, J. Combinatorial Theory Ser. B, vol.13, pp.192-218, 1972. ,
Counting rooted maps by genus, II. J. Combinatorial Theory Ser. B, vol.13, pp.122-141, 1972. ,
Counting rooted maps by genus. III: Nonseparable maps, J. Combinatorial Theory Ser. B, vol.18, pp.222-259, 1975. ,