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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2013, Volume 282, Pages 231–256
DOI: https://doi.org/10.1134/S0371968513030187 (Mi tm3481) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Evolution of branching processes in a random environment

V. A. Vatutina, E. E. Dyakonovaa, S. Sagitovb

a Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
b Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, Gothenburg, Sweden
Full-text PDF (339 kB) Citations (13)
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DOI: https://doi.org/10.1134/S0371968513030187
Abstract: This review paper presents the known results on the asymptotics of the survival probability and limit theorems conditioned on survival of critical and subcritical branching processes in independent and identically distributed random environments. This is a natural generalization of the time-inhomogeneous branching processes. The key assumptions of the family of population models in question are nonoverlapping generations and discrete time. The reader should be aware of the fact that there are many very interesting papers covering other issues in the theory of branching processes in random environments which are not mentioned here.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00139
Swedish Research Council 621-2010-5623
This work was supported by the Russian Foundation for Basic Research (project no. 11-01-00139) and by the Swedish Research Council (project no. 621-2010-5623).
Received in December 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2013, Volume 282, Pages 220–242
DOI: https://doi.org/10.1134/S0081543813060187
Bibliographic databases:
Document Type: Article
UDC: 519.218.27
Language: Russian
Citation: V. A. Vatutin, E. E. Dyakonova, S. Sagitov, “Evolution of 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, 231–256; Proc. Steklov Inst. Math., 282 (2013), 220–242
Citation in format AMSBIB
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    • This publication is cited in the following 13 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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