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Diskretnaya Matematika, 2005, Volume 17, Issue 1, Pages 35–49
DOI: https://doi.org/10.4213/dm86 (Mi dm86) 		 
This article is cited in 5 scientific papers (total in 5 papers)

On a conditional invariance principle for a critical Galton–Watson branching process

V. I. Afanasyev
Full-text PDF (1050 kB) Citations (5)
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DOI: https://doi.org/10.4213/dm86
Abstract: For a critical Galton–Watson branching process, we formulate an invariance principle which allows us to study the process in two time scales, absolute and relative (to the life time of the process). We establish a relation between the limiting process and the local time of the Brownian excursion.
This research was supported by the Russian Foundation for Basic Research, grant 02–01–00266, and by the program of the President of Russian Federation of supporting leading scientific schools, grant 1758.2003.1.
Received: 20.01.2004
Revised: 12.10.2004
English version:
Discrete Mathematics and Applications, 2005, Volume 15, Issue 1, Pages 17–32
DOI: https://doi.org/10.1515/1569392053310382
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. I. Afanasyev, “On a conditional invariance principle for a critical Galton–Watson branching process”, Diskr. Mat., 17:1 (2005), 35–49; Discrete Math. Appl., 15:1 (2005), 17–32
Citation in format AMSBIB
\Bibitem{Afa05}
\by V.~I.~Afanasyev
\paper On a conditional invariance principle for a critical Galton--Watson branching process
\jour Diskr. Mat.
\yr 2005
\vol 17
\issue 1
\pages 35--49
\mathnet{http://mi.mathnet.ru/dm86}
\crossref{https://doi.org/10.4213/dm86}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2164522}
\zmath{https://zbmath.org/?q=an:1113.60088}
\elib{https://elibrary.ru/item.asp?id=9135411}
\transl
\jour Discrete Math. Appl.
\yr 2005
\vol 15
\issue 1
\pages 17--32
\crossref{https://doi.org/10.1515/1569392053310382}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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