116 citations · 410 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
From matrix models' topological expansion to topological string theories: counting surfaces with algebraic geometry
N. Orantin
The 2-matrix model has been introduced to study Ising model on random surfaces. Since then, the link between matrix models and combinatorics of discrete surfaces has strongly tight…
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…
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…