106 citations · 285 across the 7 of their papers we have counts for
4 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…
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…
One- and two-matrix models and random cylindre with two-coloured boundaries
Nicolas Orantin
In this training course report, I briefly present the one- and two-matrix models as tools for the study of conformal field theories with boundaries. In a first part, after a short…