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Matematicheskie Zametki, 2012, Volume 91, Issue 1, Pages 12–23
DOI: https://doi.org/10.4213/mzm8830 (Mi mzm8830) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Total Population Size in Critical Branching Processes in a Random Environment

V. A. Vatutin

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (476 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm8830
Abstract: For a critical branching process evolving in a random environment and having geometric distributions of offspring sizes, we study the tail behavior of the distributions of the total size of the population and the maximal number of particles in a generation up to the moment of extinction of the process.
Keywords: branching processes in random environment, offspring number, tail distribution, population size, generating function, random walk, Lévy process.
Funding agency Grant number
Russian Foundation for Basic Research 08-01-91954
Received: 16.06.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 1, Pages 12–21
DOI: https://doi.org/10.1134/S0001434612010026
Bibliographic databases:
Document Type: Article
UDC: 519.218.2
Language: Russian
Citation: V. A. Vatutin, “Total Population Size in Critical Branching Processes in a Random Environment”, Mat. Zametki, 91:1 (2012), 12–23; Math. Notes, 91:1 (2012), 12–21
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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