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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 4, Pages 936–954 (Mi smj2248)  

This article is cited in 6 scientific papers (total in 6 papers)

On asymptotics for the spectrum of the product of two random rectangular matrices

A. N. Tikhomirovab

a Syktyvkar State University, Syktyvkar, Russia
b Komi Scientific Center of Ural Branch of RAS, Syktyvkar, Russia
Full-text PDF (666 kB) Citations (6)
References:
Abstract: On assuming the Lindeberg condition, we prove the convergence of the expected spectral distribution of the product of two independent random rectangular matrices with independent entries to a certain distribution on the unit disk in the complex plane. We obtain an explicit expression for the density of the limit distribution.
Keywords: random matrix, spectral distribution function, circular law, product of random matrices.
Received: 25.01.2011
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 4, Pages 747–762
DOI: https://doi.org/10.1134/S0037446611040161
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: A. N. Tikhomirov, “On asymptotics for the spectrum of the product of two random rectangular matrices”, Sibirsk. Mat. Zh., 52:4 (2011), 936–954; Siberian Math. J., 52:4 (2011), 747–762
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/smj/v52/i4/p936
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :71
    References:41
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