Publication : t05/036

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

Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)

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.

Année de publication : 2005
Cours : in: Proceedings of Les Houches Summer School Applications of Random Matrices in Physics ; Les Houches, France ; 2004-06-06 / 2004-06-25
Preprint : arXiv:math-ph/0503052
PACS : 15A52, 30E15
Keywords : Orthogonal polynomials; asymptotics; random matrices; algebraic geometry
Langue : Anglais

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