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Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory

Saugata Ghosh
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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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Saugata Ghosh. 2006-06-28. Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory. https://doi.org/10.1088/0305-4470%2F39%2F28%2Fs02

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