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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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2015 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.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. |