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Teoriya Veroyatnostei i ee Primeneniya, 2003, Volume 48, Issue 4, Pages 641–660
DOI: https://doi.org/10.4213/tvp249 (Mi tvp249) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the recurrence and transience of state-dependent branching processes in random environment

S. A. Albeverioa, M. V. Kozlovb

a University of Bonn, Institute for Applied Mathematics
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (1493 kB) Citations (7)
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DOI: https://doi.org/10.4213/tvp249
Abstract: The state-dependent branching process in random environment $Z_n$—the generalization of Smith–Wilkinson's model—is considered. The Lamperti–Kersting criteria for the recurrence or transience of growth models are applied to the process $X_n:=\log Z_n$, $Z_n\ge 3$.
Keywords: branching process, random environment, state dependence, sums of independent variables, logarithmic moments.
Received: 19.04.2002
Revised: 29.11.2002
English version:
Theory of Probability and its Applications, 2004, Volume 48, Issue 4, Pages 575–591
DOI: https://doi.org/10.1137/S0040585X97980683
Bibliographic databases:
Language: Russian
Citation: S. A. Albeverio, M. V. Kozlov, “On the recurrence and transience of state-dependent branching processes in random environment”, Teor. Veroyatnost. i Primenen., 48:4 (2003), 641–660; Theory Probab. Appl., 48:4 (2004), 575–591
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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