J. Ambjørn, L. O. Chekhov, C. Kristjansen, and Y. Makeenko, Matrix model calculations beyond the spherical limit, Nuclear Physics B, vol.404, issue.1-2, pp.127-172, 1993.
DOI : 10.1016/0550-3213(93)90476-6

J. Ambjørn, L. O. Chekhov, and Y. , Higher genus correlators from the hermitian one-matrix model, Physics Letters B, vol.282, issue.3-4, pp.341-348, 1992.
DOI : 10.1016/0370-2693(92)90649-O

D. [. Babelon, M. Bernard, and . Talon, Introduction to classical integrable systems, Cambridge Monographs on Mathematical Physics, 2002.
DOI : 10.1017/CBO9780511535024
URL : https://hal.archives-ouvertes.fr/hal-00101459

]. M. Be09a, B. Bergère, and . Eynard, Determinantal formulae and loop equations, math-ph/- 0901

M. Bergère, B. Eynard, and O. Marchal, The sine-law gap probability, Painlevé 5, and asymptotic expansion by the topological recursion

O. [. Bertola and . Marchal, The partition function of the two-matrix model as an isomonodromic Tau function, J. Math. Phys, vol.50, 2009.

B. [. Bleher and . Eynard, Double scaling limit in random matrix models and a nonlinear hierarchy of differential equations, Eynard, Generating series of critical random maps and Tau function of pp, qq minimal models, pp.3085-3106, 2003.
DOI : 10.1088/0305-4470/36/12/314

B. [. Borot and . Eynard, Tracy-Widom GUE law and symplectic invariants, nlin.SI/- 1011, 1418.

B. [. Borot, N. Eynard, and . Orantin, Abstract loop equations, topological recursion, and applications, math-ph/1303

]. G. Bg13b, A. Borot, and . Guionnet, Asymptotic expansion of beta matrix models in the multi-cut regime, math-ph/1303, 1045.

B. [. Bouchard and . Eynard, Think globally, compute locally, Journal of High Energy Physics, vol.10, issue.2, 2013.
DOI : 10.1007/JHEP02(2013)143

]. V. Bhl-`-13bhl-`-bhl-`-13, J. Bouchard, P. Hutchinson, M. Loliencar, M. Meiers et al., A generalized topological recursion for arbitrary ramification, pp.hep-th, 1208.

C. [. Brézin, G. Itzykson, J. Parisi, and . Zuber, Planar diagrams, Communications in Mathematical Physics, vol.16, issue.1, pp.35-51, 1978.
DOI : 10.1007/BF01614153

O. [. Cafasso and . Marchal, Double scaling limits of random matrices and minimal p2m, 1q models: the merging of two cuts in a degenerate case, J. Stat. Mech, pp.4013-1002, 2011.

]. M. Van-der-put and M. Singer, Galois theory of linear differential equations, Grundlehren der mathematischen Wissenschaften, 2003.
DOI : 10.1007/978-3-642-55750-7

S. [. Douglas and . Shenker, Strings in less than one dimension, Nuclear Physics B, vol.335, issue.3, pp.635-654, 1990.
DOI : 10.1016/0550-3213(90)90522-F

V. [. Drinfeld and . Sokolov, Lie algebras and equations of Korteweg-de Vries type, Journal of Soviet Mathematics, vol.1, issue.No. 128, pp.1975-2035, 1985.
DOI : 10.1007/BF02105860

]. F. Dys62 and . Dyson, A Brownian-motion model for the eigenvalues of a random matrix, J. Math. Phys, vol.3, pp.1191-1198, 1962.

]. B. Eyn09 and . Eynard, Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence, JHEP, 2009.

B. Eynard, A. Kokotov, and D. Korotkin, Genus one contribution to free energy in Hermitian two-matrix model, Nuclear Physics B, vol.694, issue.3, pp.443-472, 2004.
DOI : 10.1016/j.nuclphysb.2004.06.031

N. [. Eynard and . Orantin, Invariants of algebraic curves and topological expansion, math- ph, 702045.

A. [. Gross and . Migdal, A nonperturbative treatment of two-dimensional quantum gravity, Nuclear Physics B, vol.340, issue.2-3, pp.333-365, 1990.
DOI : 10.1016/0550-3213(90)90450-R

A. [. Its, A. S. Kitaev, and . Fokas, An isomonodromic approach in the theory of twodimensional quantum gravity, Russian Math. Surveys, vol.6, pp.155-157, 1990.

M. Jimbo, T. Miwa, and K. , Ueno Monodromy preserving deformation of linear ordinary differential equations with rational coefficients, pp.306-352, 1981.

]. G. Moo90 and . Moore, Geometry of the string equations, Comm. Math. Phys, vol.133, issue.2, pp.261-304, 1990.

H. [. Prähofer and . Spohn, Scale invariance of the PNG droplet and the Airy process, J. Stat. Phys, vol.108, issue.516, 2002.