On a Limiting Distribution of Singular Values of Random Band Matrices

An equation is obtained for the Stieltjes transform of the normalized distribution of singular values of non-symmetric band random matrices in the limit when the band width and rank of the matrix simultaneously tend to infinity. Conditions under which this limit agrees with the quarter-circle law ar...

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Bibliographic Details
Date:2015
Main Authors: Lytova, A., Pastur, L.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/119883
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On a Limiting Distribution of Singular Values of Random Band Matrices / A. Lytova, L. Pastur // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 4. — С. 311-332. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine