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math-ph2005
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…
math-ph2004★ 13 cited
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…
math-ph2001
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…