A generic method for bijections between blossoming trees and planar maps, Electron. J. Combin, vol.22, issue.2, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01185339
Uniform infinite planar triangulations, Comm. Math. Phys, vol.241, issue.2-3, pp.191-213, 2003. ,
Basic analytic combinatorics of directed lattice paths, Theoret. Comput. Sci, vol.281, issue.1-2, pp.37-80, 2002. ,
Dichromatic polynomials and Potts models summed over rooted maps, Ann. Comb, vol.5, issue.1, pp.17-36, 2001. ,
The number of degree-restricted rooted maps on the sphere, SIAM J. Discrete Math, vol.7, issue.1, pp.9-15, 1994. ,
Counting quadrant walks via Tutte's invariant method (extended abstract), Proceedings of FPSAC 2016, pp.203-214, 2016. ,
Counting quadrant walks via Tutte's invariant method, 2017. ,
Quantum field theory techniques in graphical enumeration, Adv. in Appl. Math, vol.1, issue.2, pp.109-157, 1980. ,
Baxter permutations and plane bipolar orientations, Sém. Lothar. Combin, vol.61, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00355755
Counting walks with large steps in an orthant, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01802706
The complete generating function for Gessel walks is algebraic, With an appendix by M. van Hoeij, vol.138, pp.3063-3078, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00780429
Creative telescoping for rational functions using the Griffiths-Dwork method, ISSAC 2013-Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, pp.93-100, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00777675
Multiple binomial sums, J. Symbolic Comput, vol.80, issue.2, pp.351-386, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01220573
Non-D-finite excursions in the quarter plane, J. Combin. Theory Ser. A, vol.121, pp.45-63, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00697386
Four classes of pattern-avoiding permutations under one roof: generating trees with two labels, Electron. J. Combin, vol.9, issue.2 ,
Counting planar maps, coloured or uncoloured, Surveys in combinatorics 2011, vol.392, pp.1-49, 2011. ,
Walks with small steps in the quarter plane, Algorithmic probability and combinatorics, vol.520, pp.1-39, 2010. ,
Linear recurrences with constant coefficients: the multivariate case, Discrete Math, vol.225, issue.1-3, pp.51-75, 2000. ,
Census of planar maps: from the one-matrix model solution to a combinatorial proof, Nuclear Phys. B, vol.645, issue.3, pp.477-499, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00586664
Planar maps and continued fractions, Comm. Math. Phys, vol.309, issue.3, pp.623-662, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00586646
Planar diagrams, Comm. Math. Phys, vol.59, issue.1, pp.35-51, 1978. ,
Local limit of labeled trees and expected volume growth in a random quadrangulation, Ann. Probab, vol.34, issue.3, pp.879-917, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00137910
Random planar lattices and integrated superBrownian excursion, vol.128, pp.161-212, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00099448
, Bijections between ?ukasiewicz walks and generalized tandem walks, 2018.
The Brownian plane, J. Theoret. Probab, vol.27, issue.4, pp.1249-1291, 2014. ,
Uniform infinite planar quadrangulations with a boundary, Random Structures Algorithms, vol.47, issue.1, pp.30-58, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01489682
Bipolar orientations revisited, Discrete Appl. Math, vol.56, issue.2-3, pp.157-179, 1995. ,
URL : https://hal.archives-ouvertes.fr/hal-00005622
Random walks in cones, Ann. Probab, vol.43, issue.3, pp.992-1044, 2015. ,
Non-Uniform Random Variate Generation, 1986. ,
Simulating size-constrained Galton-Watson trees, SIAM Journal on Computing, vol.41, issue.1, pp.1-11, 2012. ,
The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds, 2018. ,
On the nature of the generating series of walks in the quarter plane, Invent. Math, vol.213, issue.1, pp.139-203, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01897314
Baxter permutations, Discrete Math, vol.180, issue.1-3, pp.143-156, 1998. ,
URL : https://hal.archives-ouvertes.fr/hal-00307514
Conformal spectra of polymers on a random surface, Phys. Rev. Lett, vol.61, issue.13, pp.1433-1437, 1988. ,
Invariance principles for random walks in cones, 2015. ,
Some problems on random walk in space, Proc. 2nd Berkeley Sympos. Math. Statis. Probab, pp.353-367, 1951. ,
Skew-standard tableaux with three rows, Adv. in Appl. Math, vol.45, issue.4, pp.463-469, 2010. ,
Standard Young tableaux and colored Motzkin paths, J. Combin. Theory Ser. A, vol.120, issue.7, pp.1786-1803, 2013. ,
Bijections for Baxter families and related objects, J. Combin. Theory Ser. A, vol.118, issue.3, pp.993-1020, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00714699
Singularity analysis of generating functions, SIAM J. Discrete Math, vol.3, issue.2, pp.216-240, 1990. ,
URL : https://hal.archives-ouvertes.fr/inria-00075725
Analytic combinatorics, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00072739
Tutte's invariant approach for Brownian motion reflected in the quadrant, ESAIM Probab. Stat, vol.21, pp.220-234, 2017. ,
Bijective counting of plane bipolar orientations and Schnyder woods, European J. Combin, vol.30, issue.7, pp.1646-1658, 2009. ,
A factorization for formal Laurent series and lattice path enumeration, J. Combin. Theory Ser. A, vol.28, issue.3, pp.321-337, 1980. ,
Binomial determinants, paths, and hook length formulae, Adv. in Math, vol.58, issue.3, pp.300-321, 1985. ,
Standard Young tableaux of height 4 and 5, European J. Combin, vol.10, issue.1, pp.69-82, 1989. ,
On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs, Trans. Amer. Math. Soc, vol.280, issue.1, pp.97-126, 1983. ,
Counting cycles in permutations by group characters, with application to a topological problem, Trans. Amer. Math. Soc, vol.299, issue.2, pp.785-801, 1987. ,
A character-theoretic approach to embeddings of rooted maps in an orientable surface of given genus, Trans. Amer. Math. Soc, vol.322, issue.1, pp.343-363, 1990. ,
Ising model on a dynamical planar random lattice: exact solution, Phys. Lett. A, vol.119, issue.3, pp.140-144, 1986. ,
Bipolar orientations on planar maps and SLE 12, Ann. Probab, vol.47, issue.3, pp.1240-1269, 2019. ,
On the functions counting walks with small steps in the quarter plane, Publ. Math. Inst. Hautes Études Sci, vol.116, pp.69-114, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00628424
Computing periods of rational integrals, Math. Comp, vol.85, issue.300, pp.1719-1752, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01097145
Orientations acycliques et le polynôme chromatique, European J. Combin, vol.22, issue.8, pp.1101-1123, 2001. ,
The topological structure of scaling limits of large planar maps, Invent. Math, vol.169, issue.3, pp.621-670, 2007. ,
Random geometry on the sphere, Proceedings of the International Congress of Mathematicians-Seoul, vol.1, pp.421-442, 2014. ,
Scaling limits of random planar maps with large faces, Ann. Probab, vol.39, issue.1, pp.1-69, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00405123
The diagonal of a D-finite power series is D-finite, J. Algebra, vol.113, issue.2, pp.373-378, 1988. ,
D-finite power series, J. Algebra, vol.122, pp.353-373, 1989. ,
, of Encyclopedia of Mathematics and its Applications, vol.17, 1983.
Limit of normalized quadrangulations: the Brownian map, Ann. Probab, vol.34, issue.6, pp.2144-2202, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00307498
Analytic Combinatorics in Several Variables: Effective Asymptotics and Lattice Path Enumeration, 2017. ,
URL : https://hal.archives-ouvertes.fr/tel-01587716
Asymptotic lattice path enumeration using diagonals, Algorithmica, vol.75, issue.4, pp.782-811, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01394157
, Higher dimensional lattice walks: Connecting combinatorial and analytic behavior, 2018.
The two uniform infinite quadrangulations of the plane have the same law, Ann. Inst. Henri Poincaré Probab. Stat, vol.46, issue.1, pp.190-208, 2010. ,
The Brownian map is the scaling limit of uniform random plane quadrangulations, Acta Math, vol.210, issue.2, pp.319-401, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00627965
On the number of walks in a triangular domain, Electron. J. Combin, vol.22, issue.1, 2015. ,
On the enumeration of tree-rooted maps, Canad. J. Math, vol.19, pp.174-183, 1967. ,
Orientations bipolaires, École des Hautes Études en Sciences Sociales, 1994. ,
Analytic combinatorics in several variables, Cambridge Studies in Advanced Mathematics, vol.140, 2013. ,
Counting walks in a quadrant: a unified approach via boundary value problems, J. Eur. Math. Soc. (JEMS), vol.14, issue.3, pp.749-777, 2012. ,
Random walks in the quarter plane, discrete harmonic functions and conformal mappings, With an appendix by S. Franceschi, vol.124, pp.3147-3178, 2014. ,
Lost (and found) in translation: André's actual method and its application to the generalized ballot problem, Amer. Math. Monthly, vol.115, issue.4, pp.358-363, 2008. ,
The symmetric group. Representations, combinatorial algorithms, and symmetric functions, Graduate Texts in Mathematics, vol.203, 2001. ,
Principles of Random Walk, 1976. ,
Enumerative combinatorics 2, Cambridge Studies in Advanced Mathematics, vol.62, 1999. ,
A census of planar triangulations, Canad. J. Math, vol.14, pp.21-38, 1962. ,
A census of planar maps, Canad. J. Math, vol.15, pp.249-271, 1963. ,
Dichromatic sums for rooted planar maps, Combinatorics (Proc. Sympos, vol.XIX, pp.235-245, 1968. ,
Chromatic sums for rooted planar triangulations: the cases ? = 1 and ? = 2. Canad, J. Math, vol.25, pp.426-447, 1973. ,
Chromatic sums revisited, Aequationes Math, vol.50, issue.1-2, pp.95-134, 1995. ,
, A bijection between certain quarter plane walks and Motzkin paths, 2014.