Asymptotics of skew orthogonal polynomials

Published 7 September 2001 • Published under licence by IOP Publishing Ltd
, , Citation B Eynard 2001 J. Phys. A: Math. Gen. 34 7591 DOI 10.1088/0305-4470/34/37/312

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Author affiliations

1 Service de Physique Théorique de Saclay, F-91191 Gif-sur-Yvette Cedex, France

2 CRM, Université de Montréal, Case postale 6128, succursale centre-ville, Montreal, QUÉ H3C 3J7, Canada

Dates

  1. Received 14 December 2000
  2. Published

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Abstract

Exact integral expressions of the skew orthogonal polynomials involved in orthogonal (β = 1) and symplectic (β = 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.

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