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

Bertrand Eynard (1)

1 SPhT - Service de Physique Théorique

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.

Mots clés: orthogonal polynomials; asymptotics; random matrices; algebraic geometry

Domaines: Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

Bertrand Eynard. Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry. 2005. ⟨hal-00004536⟩