116 citations · 620 across the 16 of their papers we have counts for
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Topological expansion and boundary conditions
Bertrand Eynard, Nicolas Orantin
In this article, we compute the topological expansion of all possible mixed-traces in a hermitian two matrix model. In other words we give a recipe to compute the number of discret…
Holomorphic anomaly and matrix models
Bertrand Eynard, Marcos Marino, Nicolas Orantin
The genus g free energies of matrix models can be promoted to modular invariant, non-holomorphic amplitudes which only depend on the geometry of the classical spectral curve. We sh…
2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals
B. Eynard, A. Prats Ferrer
We prove that the 2-hermitean matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber's type integrals over…
Master loop equations, free energy and correlations for the chain of matrices
B Eynard
The loop equations for a chain of hermitian random matrices are computed explicitely, including the 1/N^2 corrections. To leading order, the master loop equation reduces to an alge…
Mixed Correlation Functions of the Two-Matrix Model
M. Bertola, B. Eynard
We compute the correlation functions mixing the powers of two non-commuting random matrices within the same trace. The angular part of the integration was partially known in the li…