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

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

2006-03-05

arxiv.org/abs/math-ph/0603013v2

J. Phys. A: Math. Gen. 39 (2006) 8775-8782

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/0305-4470/39/28/S02

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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