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Universality of Brezin and Zee's Spectral Correlator

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arxiv cond-mat/9310010 v1 pith:5AEUWBXE submitted 1993-10-06 cond-mat

classification cond-mat
keywords brezinb402correlationcorrelatorderivedeigenvaluesensemblesfunction
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The smoothed correlation function for the eigenvalues of large hermitian matrices, derived recently by Brezin and Zee [Nucl. Phys. B402 (1993) 613], is generalized to all random-matrix ensembles of Wigner-Dyson type. Submitted to Nuclear Physics B[FS].

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Cited by 2 Pith papers

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  2. A differential equation for a class of correlation kernels

    hep-th 2025-05 conditional novelty 6.0 of 10

    The paper presents a third-order nonlinear differential equation (Eq. 6) whose imaginary part, integrated over x, yields the correlation kernel K(E,E') for Schrodinger-type random matrix models, generalizing the Gel'f...

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