Publication : t00/170

Asymptotics of skew orthogonal polynomials

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

Abstract:
Exact integral expressions of the skew orthogonal polynomials involved in Orthogonal $(\beta=1)$ and Symplectic $(\beta=4)$ random matrix ensembles are obtained: the (even rank) skew orthogonal polynomials are average characteristic polynomials of random matrices. From there, asymptotics of the skew orthogonal polynomials are derived.

Année de publication : 2001
Revue : J. Phys. A 34 7591-7605 (2001)
Preprint : arXiv:cond-mat/0012046
Lien : http://stacks.iop.org/JPhysA/34/7591
Keywords : Orthogonal polynomials, random matrices, orthogonal, symplectic, matrix integral, asymptotics
Numéro Exterieur : CRM-2698
Langue : Anglais