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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 282, Pages 87–97
DOI: https://doi.org/10.1134/S0371968513030084 (Mi tm3494) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Multitype subcritical branching processes in a random environment

E. E. Dyakonova

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
Full-text PDF (209 kB) Citations (10)
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DOI: https://doi.org/10.1134/S0371968513030084
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 mean of the increment $X$ of the associated random walk constructed by the logarithms of the Perron roots of the reproduction mean matrices is negative and the random variable $Xe^X$ has zero mean, we find the asymptotics of the survival probability at time $n$ as $n\to\infty$.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00139
This work was supported by the Russian Foundation for Basic Research, project no. 11-01-00139.
Received in December 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 282, Pages 80–89
DOI: https://doi.org/10.1134/S0081543813060084
Bibliographic databases:
Document Type: Article
UDC: 519.218.27
Language: Russian
Citation: E. E. Dyakonova, “Multitype subcritical branching processes in a random environment”, Branching processes, random walks, and related problems, Collected papers. Dedicated to the memory of Boris Aleksandrovich Sevastyanov, corresponding member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 282, MAIK Nauka/Interperiodica, Moscow, 2013, 87–97; Proc. Steklov Inst. Math., 282 (2013), 80–89
Citation in format AMSBIB
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\paper Multitype subcritical branching processes in a~random environment
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\bookinfo Collected papers. Dedicated to the memory of Boris Aleksandrovich Sevastyanov, corresponding member of the Russian Academy of Sciences
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\vol 282
\pages 87--97
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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