{ "id": "math-ph/0503052", "version": "v1", "published": "2005-03-22T12:59:08.000Z", "updated": "2005-03-22T12:59:08.000Z", "title": "Large N asymptotics of orthogonal polynomials, from integrability to algebraic geometry", "authors": [ "Bertrand Eynard" ], "comment": "Proceedings Les Houches sumer school, Applications of Random Matrices in Physics, June 6-25 2004", "categories": [ "math-ph", "hep-th", "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.", "revisions": [ { "version": "v1", "updated": "2005-03-22T12:59:08.000Z" } ], "analyses": { "keywords": [ "orthogonal polynomials", "algebraic geometry", "integrability", "asymptotics", "saddle point approximation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 679081, "adsabs": "2005math.ph...3052E" } } }