Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry
arXiv:math-ph/0503052
Abstract
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