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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 359, Pages 5–16 (Mi znsl2128)  
This article is cited in 3 scientific papers (total in 3 papers)

The Perron–Frobenius theorem – a proof with the use of Markov chains

Yu. A. Al'pina, V. S. Al'pinab

a Kazan State University
b Kazan State Technological University
Full-text PDF (223 kB) Citations (3)
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Abstract: The Perron–Frobenius theorem for an irreducible nonnegative matrix is proved using the matrix graph and the ergodic theorem of the theory of Markov chains. Bibl. – 7 titles.
Received: 17.10.2008
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 157, Issue 5, Pages 675–680
DOI: https://doi.org/10.1007/s10958-009-9347-9
Bibliographic databases:
UDC: 512
Language: Russian
Citation: Yu. A. Al'pin, V. S. Al'pina, “The Perron–Frobenius theorem – a proof with the use of Markov chains”, Computational methods and algorithms. Part XXI, Zap. Nauchn. Sem. POMI, 359, POMI, St. Petersburg, 2008, 5–16; J. Math. Sci. (N. Y.), 157:5 (2009), 675–680
Citation in format AMSBIB
\Bibitem{AlpAlp08}
\by Yu.~A.~Al'pin, V.~S.~Al'pina
\paper The Perron--Frobenius theorem~-- a~proof with the use of Markov chains
\inbook Computational methods and algorithms. Part~XXI
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 359
\pages 5--16
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl2128}
\zmath{https://zbmath.org/?q=an:1177.15009}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 157
\issue 5
\pages 675--680
\crossref{https://doi.org/10.1007/s10958-009-9347-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-61349200784}
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  • https://www.mathnet.ru/eng/znsl/v359/p5
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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