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References

  1. A. Altland and B. Simons, Condensed matter field theory , Cambridge UP, Cambridge, 2006.
  2. A. Altland and M. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal/superconducting hybrid structures, Physical Review B 55 (1997), no. 2, 1142--1161.
  3. G. Anderson and O. Zeitouni, A law of large numbers for finite-range dependent random matrices, arXiv.org:math/0609364.
  4. Z. D. Bai and J. Yao, On the convergence of the spectral empirical process of Wigner matrices, Bernoulli 11 (2005), 1059 -- 1092 MR2189081
  5. B. Collins and M. Stolz, Borel theorems for random elements of the classical compact symmetric spaces, Ann. of Probab. 36 (2008), 876 -- 895
  6. E. Dueñez, Random matrix ensembles associated to compact symmetric spaces, Comm. Math. Phys. 244 (2004), no. 1, 29--61. MR2029949
  7. F. J. Dyson, The threefold way. Algebraic structure of symmetry groups and ensembles in quantum mechanics, J. Math. Phys. 3 (1962), 1199--1215. MR0177643
  8. P. Eichelsbacher and M. Stolz, Large deviations for random matrix ensembles in mesoscopic physics, arXiv.org:math.PR/0610811, to appear in Markov Process. Related Fields
  9. P. Forrester, Log-gases and random matrices, book in progress.
  10. U. Haagerup and S. Thorbjørnsen, Random matrices with complex Gaussian entries, Expo. Math. 21 (2003), no. 4, 293--337. MR2022002
  11. P. Heinzner, A. Huckleberry and M. R. Zirnbauer, Symmetry classes of disordered fermions, Commun. Math. Phys. 257 (2005), 725--771. MR2164950
  12. F. Hiai and D. Petz, The semicircle law, free random variables and entropy , Mathematical Surveys and Monographs, vol. 77 , American Mathematical Society, Providence, RI, 2000. MR1746976
  13. N. M. Katz and P. Sarnak, Zeroes of zeta functions and symmetry, Bull. Amer. Math. Soc. 36 (1999), 1--26. MR1640151
  14. A. Nica and R. Speicher, Lectures on the combinatorics of free probability , London Mathematical Society Lecture Note Series, vol. 335 , Cambridge University Press, Cambridge, 2006. MR2266879
  15. F. Oravecz and D. Petz, On the eigenvalue distribution of some symmetric random matrices, Acta Sci. Math. (Szeged) 63 (1997), no. 3-4, 383--395. MR1480488
  16. J. H. Schenker and H. Schulz-Baldes, Semicircle law and freeness for random matrices with symmetries or correlations, Math. Res. Lett. 12 (2005), no. 4, 531--542. MR2155229
  17. J. H. Schenker and H. Schulz-Baldes, Gaussian fluctuations for random matrices with correlated entries, Int. Math. Res. Not. 2007 , Article ID rnm047, doi:10.1093/imrn/rnm047. MR2348645
  18. E. P. Wigner, On the distribution of the roots of certain symmetric matrices, Ann. of Math. (2) 67 (1958), 325--327. MR0095527
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