On the rate of convergence to the semi-circular law

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Bobkov, S. G.; G̦tze, F. Exponential integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities. Journal of Functional Analysis, 163 (1999), 1Р28

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Bai, Z. D., Miao, Tsay, J. Convergence rates of the spectral distributions of large Wigner matrices. Int. Math. J

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Bobkov, S. G. Some generalizations of the results of Yu. V. Prokhorov on Khinchin-type inequalities for polynomials. (Russian) Teor. Veroyatnost. i Primenen. 45 (2000), no. 4, 745–748; translation in Theory Probab. Appl. 45 (2002), no. 4, 644–647

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Götze, F.; Tikhomirov, A. N. Rate of convergence to the semi-circular law. Probab. Theory Relat. Fields

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Götze, F.; Tikhomirov, A. N. The rate of convergence for spectra of GUE and LUE matrix ensembles. Cent. Eur. J. Math

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Gustavsson, Jonas. Gaussian fluctuations of eigenvalues in the GUE

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Bentkus, V. Measure concentration for separately Lipschitz functions in product spaces . Israel Journal of Mathematics,

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Girko, V. L. Extended proof of the statement: Convergence rate of expected spectral functions of symmetric random matrices

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Erdös, L.; Yau ; H.-T, Yin, J. Bulk universality for generalized Wigner matrices. Preprint, arXiv:1001.3453

Timushev, D. A.; Tikhomirov, A. N.; Kholopov, A. A. On the accuracy of the approximation of the GOE spectrum by the semi-circular law. Teor. Veroyatn. Primen. 52 (2007), no. 1, 180–185

2007

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Götze, F.; Tikhomirov, A. N. The rate of convergence of spectra of sample covariance matrices. Teor. Veroyatn. Primen. 54 (2009), 196–206

2009

Later among the works it cites.

Tikhomirov, A. N. On the rate of convergence of the expected spectral distribution function of a Wigner matrix to the semi-circular law. Siberian Adv. Math

2009

Later among the works it cites.

Bobkov, S.; Götze, F.; Tikhomirov, A. N. On concentration of empirical measures and convergence to the semi–circle law. Journal of Theoretical Probability,

2010

Later among the works it cites.