116 citations · 410 across the 9 of their papers we have counts for
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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…
Gaussian matrix model in an external field and non-intersecting Brownian motions
N. Orantin
We study the Gaussian hermitian random matrix ensemble with an external matrix which has an arbitrary number of eigenvalues with arbitrary multiplicity. We compute the limiting eig…
Weil-Petersson volume of moduli spaces, Mirzakhani's recursion and matrix models
Bertrand Eynard, Nicolas Orantin
We show that Mirzakhani's recursions for the volumes of moduli space of Riemann surfaces are a special case of random matrix loop equations, and therefore we confirm again that Kon…
Topological expansion of mixed correlations in the hermitian 2 Matrix Model and x-y symmetry of the F_g invariants
Bertrand Eynard, Nicolas Orantin
We compute expectation values of mixed traces containing both matrices in a two matrix model, i.e. generating function for counting bicolored discrete surfaces with non uniform bou…
Invariants of algebraic curves and topological expansion
Bertrand Eynard, Nicolas Orantin
For any arbitrary algebraic curve, we define an infinite sequence of invariants. We study their properties, in particular their variation under a variation of the curve, and their…