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

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

2005-03-22

arxiv.org/abs/math-ph/0503052v1

Physics

Mathematical Physics

Proceedings Les Houches sumer school, Applications of Random Matrices in Physics, June 6-25 2004

Scientific paper

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.

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