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Diskretnaya Matematika, 2007, Volume 19, Issue 4, Pages 23–41
DOI: https://doi.org/10.4213/dm975 (Mi dm975) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Critical multitype branching processes in a random environment

E. E. D'yakonova
Full-text PDF (199 kB) Citations (15)
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DOI: https://doi.org/10.4213/dm975
Abstract: We investigate a multitype Galton–Watson process in a random environment generated by a sequence of independent identically distributed random variables. Assuming that the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices satisfies Spitzer's condition, we find the asymptotics of the survival probability at time $n$ as $n\to\infty$.
Received: 06.05.2006
English version:
Discrete Mathematics and Applications, 2007, Volume 17, Issue 6, Pages 587–606
DOI: https://doi.org/10.1515/dma.2007.044
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: E. E. D'yakonova, “Critical multitype branching processes in a random environment”, Diskr. Mat., 19:4 (2007), 23–41; Discrete Math. Appl., 17:6 (2007), 587–606
Citation in format AMSBIB
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\by E.~E.~D'yakonova
\paper Critical multitype branching processes in a~random environment
\jour Diskr. Mat.
\yr 2007
\vol 19
\issue 4
\pages 23--41
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\crossref{https://doi.org/10.4213/dm975}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2392694}
\zmath{https://zbmath.org/?q=an:05233565}
\elib{https://elibrary.ru/item.asp?id=9917186}
\transl
\jour Discrete Math. Appl.
\yr 2007
\vol 17
\issue 6
\pages 587--606
\crossref{https://doi.org/10.1515/dma.2007.044}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-37049038474}
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    • This publication is cited in the following 15 articles:
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