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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 1, Pages 180–185
DOI: https://doi.org/10.4213/tvp13 (Mi tvp13) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

Rate of convergence to the semicircle law for the Gaussian orthogonal ensemble

D. A. Timusheva, A. N. Tikhomirovb, A. A. Kholopova

a Syktyvkar State University
b St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (544 kB) Citations (7)
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DOI: https://doi.org/10.4213/tvp13
Abstract: It is shown that the Kolmogorov distance between the expected spectral distribution function of an $n\times n$ matrix from the Gaussian orthogonal ensemble and the distribution function of the semicircle law is of order $O(n^{-1})$.
Keywords: random matrix, semicircle law, Hermite function, Gaussian ensemble.
Received: 26.04.2006
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 1, Pages 171–177
DOI: https://doi.org/10.1137/S0040585X97982906
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. A. Timushev, A. N. Tikhomirov, A. A. Kholopov, “Rate of convergence to the semicircle law for the Gaussian orthogonal ensemble”, Teor. Veroyatnost. i Primenen., 52:1 (2007), 180–185; Theory Probab. Appl., 52:1 (2008), 171–177
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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