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The loop equation formalism is used to compute the $1/N$ expansion of the resolvent for the Gaussian $\beta$ ensemble up to and including the term at $O(N^{-6})$.
Integrales de Riemann-Liouville et potentiels
M. Riesz · 1938
Earlier work this paper cites.
Lectures on Cauchy’s problem in linear partial differential equations
J. Hadamard · 1953
Earlier work this paper cites.
The spectrum of random matrices
L. A. Pastur · 1972
Earlier work this paper cites.
Planar diagrams
E. Brézin, C. Itzykson, G. Parisi, and J. B. Zuber · 1978
Earlier work this paper cites.
The Euler characteristic of the moduli space of curves
J. Harer and D. Zagier · 1986
Earlier work this paper cites.
Properties of loop equations for the Hermitian matrix model and for two-dimensional quantum gravity
J. Ambjørn and Yu. M. Makeenko · 1990
Earlier work this paper cites.
Matrix integrals and map enumeration: an accessible introduction
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Earlier work this paper cites.
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I. P. Goulden and D. M. Jackson · 1997
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Matrix model combinatorics: applications to folding and coloring
P. Di Francesco · 2001
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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2010
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