Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence

W.T. Tutte, “A census of planar maps”, Can. J. Math

1963

Earlier work this paper cites.

J.D. Fay, ”Theta functions on Riemann surfaces”, Springer Verlag, 1973

1973

Earlier work this paper cites.

E. Brézin, C. Itzykson, G. Parisi and J. B. Zuber, “Planar Diagrams,” Commun. Math. Phys. 59

1978

Earlier work this paper cites.

M. Jimbo, T. Miwa and K. Ueno, ”Monodromy Preserving Deformation of Linear Ordinary Differ ential Equations with Rational Coefficients I.”, Physica 2D, 306-352 (1981)

1981

Earlier work this paper cites.

V. A. Kazakov, “Ising model on a dynamical planar random lattice: Exact solution,” Phys. Lett. A 119

1986

Earlier work this paper cites.

M.Kontsevitch, “Intersection theory on the moduli space of curves and the matrix Airy function”, Funk. Anal. Prilozh

1991

Earlier work this paper cites.

M.L. Mehta, Random Matrices

1991

Earlier work this paper cites.

H.M. Farkas, I. Kra, ”Riemann surfaces” 2nd edition, Springer Verlag, 1992

1992

Earlier work this paper cites.

A. Fokas, A. Its, A. Kitaev, ”The isomonodromy approach to matrix models in 2D quantum gravity”, Commun. Math. Phys. 147, 395-430 (1992)

1992

Cited alongside, same era.

M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, “Holomorphic anomalies in topological field theories,” Nucl. Phys. B 405

1993

Cited alongside, same era.

P. Di Francesco, P. Ginsparg, J. Zinn-Justin, “2D Gravity and Random Matrices”, Phys. Rep

1995

Cited alongside, same era.

B. Eynard, Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices, Nuc. Phys. B506,3 633-664 (1997), cond-mat/9707005

1997

Cited alongside, same era.

P. A. Deift, T. Kriecherbauer, K. T-R. McLaughlin, S. Venakides, and Z. Zhou, Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory. Commun. Pure Appl. Math. 52 (1999), 1335-1425

M. Bertola, B. Eynard, J. Harnad, Differential systems for bi-orthogonal polynomials appearing in two-matrix models and the associated Riemann-Hilbert problem, Comm. Math. Phys. 243 no.2 (2003) 193-240, nlin.SI/0208002

2003

Later among the works it cites.

M. Bertola, B. Eynard, J. Harnad, Partition functions for Matrix Models and Isomonodromic Tau Functions, J. Phys. A Math. Gen. 36 No 12 (28 March 2003) 3067-3083, nlin.SI/0204054

2003

Later among the works it cites.

N.M. Ercolani and K.D.T-R McLaughlin, Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques and applications to graphical enumeration. Int. Math. Res. Not. 14 (2003), 755-820

2003

Later among the works it cites.

L. Chekhov, Genus one corrections to multi-cut matrix model solutions, Theor. Math. Phys. 141

2004

Later among the works it cites.