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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 504, Pages 5–20 (Mi znsl7107)  
This article is cited in 1 scientific paper (total in 1 paper)

Nonnegative chainable matrices and Kolmogorov's condition

Yu. A. Al'pin, I. V. Bashkin

Kazan (Volga Region) Federal University
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Abstract: The paper proves that an indecomposable nonnegative matrix is chainable if and only if it satisfies Kolmogorov's condition, under which the Markov chain determined by a stochastic matrix obeys the multidimensional local limit theorem.
Key words and phrases: nonnegative matrix, chainable matrix, chain rank, Kolmogorov condition.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
Received: 10.10.2021
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Al'pin, I. V. Bashkin, “Nonnegative chainable matrices and Kolmogorov's condition”, Computational methods and algorithms. Part XXXIV, Zap. Nauchn. Sem. POMI, 504, POMI, St. Petersburg, 2021, 5–20
Citation in format AMSBIB
\Bibitem{AlpBas21}
\by Yu.~A.~Al'pin, I.~V.~Bashkin
\paper Nonnegative chainable matrices and Kolmogorov's condition
\inbook Computational methods and algorithms. Part~XXXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 504
\pages 5--20
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7107}
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  • https://www.mathnet.ru/eng/znsl/v504/p5
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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