Asymptotics of skew orthogonal polynomials

Details Asymptotics of skew orthogonal polynomials Asymptotics of skew orthogonal polynomials

2000-12-04

arxiv.org/abs/cond-mat/0012046v1

J. Phys. A. 34 2001 7591-7605

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

17 pages, Latex

Scientific paper

10.1088/0305-4470/34/37/312

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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