Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry

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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 integrability, algebraic geometry and random matrices.
Proceedings Les Houches sumer school, Applications of Random Matrices in Physics, June 6-25 2004

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