Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory
Mathematical Physics
2007-05-23 v2 math.MP
Abstract
We obtain generalized Christoffel-Darboux (GCD) formula for skew-orthogonal polynomials (SOP). Using this, we present an alternative derivation of the level density and two-point function for Gaussian orthogonal ensembles (GOE) and Gaussian symplectic ensembles (GSE) of random matrices.
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Cite
@article{arxiv.math-ph/0603013,
title = {Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory},
author = {Saugata Ghosh},
journal= {arXiv preprint arXiv:math-ph/0603013},
year = {2007}
}
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8 pages