Teoriya Veroyatnostei i ee Primeneniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Teor. Veroyatnost. i Primenen.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{AlbKoz03}
\by S.~A.~Albeverio, M.~V.~Kozlov
\paper On the recurrence and transience of state-dependent
branching processes in random environment
\jour Teor. Veroyatnost. i Primenen.
\yr 2003
\vol 48
\issue 4
\pages 641--660
\mathnet{http://mi.mathnet.ru/tvp249}
\crossref{https://doi.org/10.4213/tvp249}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2143208}
\zmath{https://zbmath.org/?q=an:1071.60099}
\transl
\jour Theory Probab. Appl.
\yr 2004
\vol 48
\issue 4
\pages 575--591
\crossref{https://doi.org/10.1137/S0040585X97980683}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000226305500001}
Linking options:
  • https://www.mathnet.ru/eng/tvp249
  • https://doi.org/10.4213/tvp249
  • https://www.mathnet.ru/eng/tvp/v48/i4/p641
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
    Statistics & downloads:
    Abstract page:330
    Full-text PDF :164
    References:57
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024