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Asymptotics of skew orthogonal polynomials

B. Eynard
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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.

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B. Eynard. 2000-12-04. Asymptotics of skew orthogonal polynomials. https://doi.org/10.1088/0305-4470%2F34%2F37%2F312

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