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A note on correlations between eigenvalues of a random matrix

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Abstract

Dyson's method is adopted here for the so called Gaussian ensembles. Incidently this confirms the long cherished belief that the statistical properties of a small number of eigenvalues is the same for the two kinds of ensembles, the circular and the Gaussian ones.

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References

  1. Wigner, E. P.: Ann. Math.62, 548 (1955);65, 203 (1957); SIAM Review9, 1 (1967).

    Google Scholar 

  2. Mehta, M. L.: Random matrices and the statistical theory of energy levels. New York: Academic Press 1967.

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  3. Porter, C. E.: First chapter of Statistical Theories of Spectra: Fluctuations. New York: Academic Press 1965.

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  4. Gaudin, M.: Nucl. Phys.25, 447 (1961).

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  5. Dyson, F. J.: J. Math. Phys.3, 140 (1962);3, 157 (1962);3, 166 (1962);3, 1191 (1962);3, 1 199 (1962).

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  6. —— Mehta, M. L.: J. Math. Phys.4, 701 (1963);4, 713 (1963).

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  7. —— Correlations between eigenvalues of a random matrix. Commun. math. Phys.19, 235–250 (1970).

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  8. Mehta, M. L.: Reference 1, Appendix A. 9.

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  1. Service de Physique Théorique Centre d'Etudes Nucléaires de Saclay, Gif-sur-Yvette

    M. L. Mehta

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  1. M. L. Mehta
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Mehta, M.L. A note on correlations between eigenvalues of a random matrix. Commun.Math. Phys. 20, 245–250 (1971). https://doi.org/10.1007/BF01646557

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  • DOI: https://doi.org/10.1007/BF01646557

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