Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble
Götze F, Tikhomirov A, Timushev DA (2007)
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5(2): 305-334.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Götze, FriedrichUniBi;
Tikhomirov, AlexanderUniBi;
Timushev, Dmitry A.
Einrichtung
Abstract / Bemerkung
It is shown that the Kolmogorov distance between the expected spectral distribution function of an n x n matrix from the Deformed Gaussian Ensemble and the distribution function of the semi-circle law is of order O(n(-2/3+nu)). (C) Versita Warsaw and Springer-Verlag Berlin Heidelberg. All rights reserved.
Stichworte
Deformed gaussian unitary ensemble;
unitary ensemble;
semicircle law;
Gaussian;
random matrix theory
Erscheinungsjahr
2007
Zeitschriftentitel
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS
Band
5
Ausgabe
2
Seite(n)
305-334
ISSN
1895-1074
Page URI
https://pub.uni-bielefeld.de/record/1586660
Zitieren
Götze F, Tikhomirov A, Timushev DA. Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. 2007;5(2):305-334.
Götze, F., Tikhomirov, A., & Timushev, D. A. (2007). Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 5(2), 305-334. https://doi.org/10.2478/s11533-007-0006-4
Götze, Friedrich, Tikhomirov, Alexander, and Timushev, Dmitry A. 2007. “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5 (2): 305-334.
Götze, F., Tikhomirov, A., and Timushev, D. A. (2007). Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5, 305-334.
Götze, F., Tikhomirov, A., & Timushev, D.A., 2007. Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 5(2), p 305-334.
F. Götze, A. Tikhomirov, and D.A. Timushev, “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”, CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, vol. 5, 2007, pp. 305-334.
Götze, F., Tikhomirov, A., Timushev, D.A.: Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. 5, 305-334 (2007).
Götze, Friedrich, Tikhomirov, Alexander, and Timushev, Dmitry A. “Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble”. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 5.2 (2007): 305-334.
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