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math-ph2005★ 8 cited
The 2-matrix model, biorthogonal polynomials, Riemann-Hilbert problem, and algebraic geometry
Bertrand Eynard
This preprint is the introduction of my habilitation thesis for Paris7 university. It is a sumary of a collection of works on the 2 matrix model. In an introduction, 3 different an…
math-ph2003★ 18 cited
Large N expansion of the 2-matrix model, multicut case
Bertrand Eynard
We present a method, based on loop equations, to compute recursively, all the terms in the large topological expansion of the free energy for the 2-hermitian matrix model, in t…