# Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble

Friedrich Götze; Alexander Tikhomirov; Dmitry Timushev

Open Mathematics (2007)

- Volume: 5, Issue: 2, page 305-334
- ISSN: 2391-5455

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topFriedrich Götze, Alexander Tikhomirov, and Dmitry Timushev. "Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble." Open Mathematics 5.2 (2007): 305-334. <http://eudml.org/doc/269590>.

@article{FriedrichGötze2007,

abstract = {It is shown that the Kolmogorov distance between the expected spectral distribution function of an n × n matrix from the Deformed Gaussian Ensemble and the distribution function of the semi-circle law is of order O(n −2/3+v ).},

author = {Friedrich Götze, Alexander Tikhomirov, Dmitry Timushev},

journal = {Open Mathematics},

keywords = {Random matrix theory; Deformed gaussian unitary ensemble; Gaussian unitary ensemble; semicircle law},

language = {eng},

number = {2},

pages = {305-334},

title = {Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble},

url = {http://eudml.org/doc/269590},

volume = {5},

year = {2007},

}

TY - JOUR

AU - Friedrich Götze

AU - Alexander Tikhomirov

AU - Dmitry Timushev

TI - Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble

JO - Open Mathematics

PY - 2007

VL - 5

IS - 2

SP - 305

EP - 334

AB - It is shown that the Kolmogorov distance between the expected spectral distribution function of an n × n matrix from the Deformed Gaussian Ensemble and the distribution function of the semi-circle law is of order O(n −2/3+v ).

LA - eng

KW - Random matrix theory; Deformed gaussian unitary ensemble; Gaussian unitary ensemble; semicircle law

UR - http://eudml.org/doc/269590

ER -

## References

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