13 citations · 13 across the 2 of their papers we have counts for
4 papers
Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry
Bertrand Eynard
In this short lecture, we compute asymptotics of orthogonal polynomials, from a saddle point approximation. This is an example of a calculation which shows the link between integra…
A short note about Morozov's formula
Bertrand Eynard
The purpose of this short note, is to rewrite Morozov's formula for correlation functions over the unitary group, in a much simpler form, involving the computation of a single dete…
Duality of spectral curves arising in two-matrix models
M. Bertola, B. Eynard, J. Harnad
The two matrix model is considered, with measure given by the exponential of a sum of polynomials in two different variables. It is shown how to derive a sequence of pairs of ``dua…
A concise expression for the ODE's of orthogonal polynomials
Bertrand Eynard
It is known that orthogonal polynomials obey a 3 terms recursion relation, as well as a 2x2 differential system. Here, we give an explicit and concise expression of the differentia…