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Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant - MaRDI portal

Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant (Q2382012)

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Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant
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    Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant (English)
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    27 September 2007
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    Large \(n\) asymptotics for product of powers of the absolute values of the characteristic polynomials over the Gaussian unitary ensemble (GUE) of \(n\times n\)-matrices is computed in this paper. The results can also be interpreted as asymptotics of the determinant of a Hankel matrix.
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    random matrices
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    asymptotic approximations
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    disordered systems
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