Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry
Mathematical Physics
2007-05-23 v1 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0503052,
title = {Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry},
author = {Bertrand Eynard},
journal= {arXiv preprint arXiv:math-ph/0503052},
year = {2007}
}
Comments
Proceedings Les Houches sumer school, Applications of Random Matrices in Physics, June 6-25 2004