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References

  1. G. Anderson, A. Guionnet, O. Zeitouni. An Introduction to Random Matrices. Cambridge Studies in Advanced Mathematics 118 (2010). Math. Review 2760897
  2. O. Costin, J. L. Lebowitz. Gaussian Fluctuations in Random Matrices. Phys. Rev. Lett. 75 (1995), 69--72.
  3. L. Erd?s, H-T. Yau, J. Yin. Rigidity of Eigenvalues of Generalized Wigner Matrices. arXiv:1007.4652 (2010).
  4. P. Forrester, E. Rains. Inter-Relationships between Orthogonal, Unitary and Symplectic Matrix Ensembles. Cambridge University Press, Cambridge, United Kingdom (2001), 171--208. Math. Review 1842786
  5. J. Gustavsson. Gaussian Fluctuations of Eigenvalues in the GUE. Ann. I. PoincarÈ 41 (2005), 151--178. Math. Review 2124079
  6. S. O'Rourke. Gaussian Fluctuations of Eigenvalues in Wigner Random Matrices. to appear in J. Stat. Phys., arXiv:0909.2677 (2009).
  7. A. Soshnikov. Gaussian Fluctuation for the Number of Particles in Airy, Bessel, Sine, and other Determinantal Random Point Fields. J. Statist. Phys. 100 (2000), 3-4, 491--522. Math. Review 1788476
  8. Z. Su, Gaussian Fluctuations in Complex Sample Covariance Matrices. Electronic Journal of Probability 11 (2006), 1284--1320. Math. Review 2268545
  9. T. Tao and V. Vu. Random Matrices: Universality of Local Eigenvalues Statistics. to appear in Acta Math., arXiv:0906.0510 (2009).
  10. T. Tao and V. Vu. Random Matrices: Universality of Local Eigenvalue Statistics up to the Edge. Comm. Math. Phys. 298 (2010), 2, 549--572. Math. Review 2669449
  11. T. Tao and V. Vu. Random Covariance Matrices: Universality of Local Statistics of Eigenvalues. arXiv:0912.0966 (2010).
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