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Teoriya Veroyatnostei i ee Primeneniya, 2006, Volume 51, Issue 3, Pages 618–622
DOI: https://doi.org/10.4213/tvp45 (Mi tvp45) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Short Communications

The rate of convergence in probability for spectra of the GUE

D. A. Timushev

Syktyvkar State University
Full-text PDF (559 kB) Citations (2)
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DOI: https://doi.org/10.4213/tvp45
Abstract: It is shown that the Kolmogorov distance between the spectral distribution function of an $n\times n$ matrix from the Gaussian unitary ensemble (GUE) and the distribution function of the semicircle law is of stochastic order $O_p((\log n)/n^{2/3})$.
Keywords: random matrix, semicircle law, Wigner ensemble, Gaussian unitary ensemble.
Received: 13.06.2006
English version:
Theory of Probability and its Applications, 2007, Volume 51, Issue 3, Pages 546–549
DOI: https://doi.org/10.1137/S0040585X9798258X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. A. Timushev, “The rate of convergence in probability for spectra of the GUE”, Teor. Veroyatnost. i Primenen., 51:3 (2006), 618–622; Theory Probab. Appl., 51:3 (2007), 546–549
Citation in format AMSBIB
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    • This publication is cited in the following 2 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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