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

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dc.creatorGhosh, Saugata
dc.date2006-03-05
dc.date2006-06-28
dc.date.accessioned2026-07-07T07:06:18Z
dc.date.available2026-07-07T07:06:18Z
dc.descriptionWe 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.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0603013
dc.identifierhttp://arxiv.org/abs/math-ph/0603013
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 8775-8782
dc.identifierdoi:10.1088/0305-4470/39/28/S02
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109976
dc.subjectMathematical Physics
dc.titleGeneralized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory
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