116 citations · 620 across the 16 of their papers we have counts for
Showing 2008 · math-phShow all
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math-ph2008★ 82 cited
Algebraic methods in random matrices and enumerative geometry
Bertrand Eynard, Nicolas Orantin
We review the method of symplectic invariants recently introduced to solve matrix models loop equations, and further extended beyond the context of matrix models. For any given spe…
math-ph2008★ 44 cited
Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry
Bertrand Eynard, Olivier Marchal
In this article, we define a non-commutative deformation of the "symplectic invariants" of an algebraic hyperelliptical plane curve. The necessary condition for our definition to m…
math-ph2008★ 35 cited
Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence
Bertrand Eynard
We propose an asymptotic expansion formula for matrix integrals, including oscillatory terms (derivatives of theta-functions) to all orders. This formula is heuristically derived f…