Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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:
PDF
HTML
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
\Bibitem{Tik11}
\by A.~N.~Tikhomirov
\paper On asymptotics for the spectrum of the product of two random rectangular matrices
\jour Sibirsk. Mat. Zh.
\yr 2011
\vol 52
\issue 4
\pages 936--954
\mathnet{http://mi.mathnet.ru/smj2248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2883224}
\transl
\jour Siberian Math. J.
\yr 2011
\vol 52
\issue 4
\pages 747--762
\crossref{https://doi.org/10.1134/S0037446611040161}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298649500016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051964807}
Linking options:
  • https://www.mathnet.ru/eng/smj2248
  • 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
    Statistics & downloads:
    Abstract page:286
    Full-text PDF :70
    References:40
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024