Some Elementary Results around the Wigner Semicircle Law

[1]  A. Khorunzhy,et al.  Limiting eigenvalue distribution of random matrices with correlated entries , 1996 .

[2]  T. Guhr,et al.  RANDOM-MATRIX THEORIES IN QUANTUM PHYSICS : COMMON CONCEPTS , 1997, cond-mat/9707301.

[3]  A. Khorunzhy On smoothed density of states for Wigner random matrices , 1997 .

[5]  S. Geman A Limit Theorem for the Norm of Random Matrices , 1980 .

[6]  János Komlós,et al.  The eigenvalues of random symmetric matrices , 1981, Comb..

[7]  M. Stephanov,et al.  Random Matrices , 2005, hep-ph/0509286.

[8]  A. Khorunzhy On dilute unitary random matrices , 1998 .

[9]  A. Soshnikov,et al.  A refinement of Wigner's semicircle law in a neighborhood of the spectrum edge for random symmetric matrices , 1998 .

[10]  L. Pastur RANDOM MATRICES AS PARADIGM , 2000 .

[11]  A. Zvonkin Matrix integrals and map enumeration: An accessible introduction , 1997 .

[12]  G. J. Rodgers,et al.  On the Wigner law in dilute random matrices , 1998 .

[13]  A. M. K. A. L. A. Pastur On the Eigenvalue distribution of the deformed Wigner ensemble of random matrices , 1994 .

[14]  Boris A. Khoruzhenko,et al.  Asymptotic properties of large random matrices with independent entries , 1996 .

[15]  C. Tracy,et al.  Introduction to Random Matrices , 1992, hep-th/9210073.

[16]  A. Khorunzhy,et al.  On the norm and eigenvalue distribution of large random matrices , 1999 .

[17]  A. Khorunzhy Sparse random matrices: spectral edge and statistics of rooted trees , 2001, Advances in Applied Probability.

[18]  L. Pastur On the spectrum of random matrices , 1972 .

[19]  F. Berezin Some remarks on the wigner distribution , 1973 .

[20]  A. Soshnikov Universality at the Edge of the Spectrum¶in Wigner Random Matrices , 1999, math-ph/9907013.

[21]  L. Pastur,et al.  Limits of infinite interaction radius, dimensionality and the number of components for random operators with off-diagonal randomness , 1993 .

[22]  A. Khorunzhy,et al.  Limit of infinite band width for product of two random matrices , 1997 .

[23]  Burt V. Bronk,et al.  Accuracy of the Semicircle Approximation for the Density of Eigenvalues of Random Matrices , 1964 .

[24]  E. Wigner Characteristic Vectors of Bordered Matrices with Infinite Dimensions I , 1955 .

[25]  A. Boutet de Monvel,et al.  Asymptotic distribution of smoothed eigenvalue density. I. Gaussian random matrices , 1999 .

[26]  Geometric and quantum aspects of integrable systems : proceedings of the Eighth Scheveningen Conference, Scheveningen, The Netherlands, August 16-21, 1992 , 1993 .