116 citations · 620 across the 16 of their papers we have counts for
4 papers · 2 filters
Topological expansion of the Bethe ansatz, and quantum algebraic geometry
L. Chekhov, B. Eynard, O. Marchal
In this article, we solve the loop equations of the β-random matrix model, in a way similar to what was found for the case of hermitian matrices β=1. For β=1, the solution was expr…
Universal scaling limits of matrix models, and (p,q) Liouville gravity
Michel Bergere, Bertrand Eynard
We show that near a point where the equilibrium density of eigenvalues of a matrix model behaves like y ~ x^{p/q}, the correlation functions of a random matrix, are, to leading ord…
A Matrix model for plane partitions
Bertrand Eynard
We construct a matrix model equivalent (exactly, not asymptotically), to the random plane partition model, with almost arbitrary boundary conditions. Equivalently, it is also a ran…
Determinantal formulae and loop equations
Michel Bergère, Bertrand Eynard
We prove that the correlations functions, generated by the determinantal process of the Christoffel-Darboux kernel of an arbitrary order 2 ODE, do satisfy loop equations.