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Mathematics of the USSR-Sbornik, 1977, Volume 32, Issue 2, Pages 215–225
DOI: https://doi.org/10.1070/SM1977v032n02ABEH002379 (Mi sm2807) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Limit theorems for critical Markov branching processes with several types of particles and infinite second moments

V. A. Vatutin
English version PDF (592 kB) Citations (15)
References:
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DOI: https://doi.org/10.1070/SM1977v032n02ABEH002379
Abstract: In this paper a necessary and sufficient condition is obtained for the existence of a proper limit distribution, not concentrated at one point, of the number of particles in a critical Markov branching process with several types of particles on the set of nondegenerate trajectories under the classical normalization. In the case where the limit distribution in question exists, limit distributions for the distance to the nearest common ancestor are obtained.
Bibliography: 10 titles.
Received: 25.11.1976
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1977, Volume 103(145), Number 2(6), Pages 253–264
Bibliographic databases:
Document Type: Article
UDC: 519.2
MSC: 60J80, 60F05
Language: English
Original paper language: Russian
Citation: V. A. Vatutin, “Limit theorems for critical Markov branching processes with several types of particles and infinite second moments”, Mat. Sb. (N.S.), 103(145):2(6) (1977), 253–264; Math. USSR-Sb., 32:2 (1977), 215–225
Citation in format AMSBIB
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\by V.~A.~Vatutin
\paper Limit theorems for critical Markov branching processes with several types of particles and infinite second moments
\jour Mat. Sb. (N.S.)
\yr 1977
\vol 103(145)
\issue 2(6)
\pages 253--264
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=443115}
\zmath{https://zbmath.org/?q=an:0365.60079|0396.60072}
\transl
\jour Math. USSR-Sb.
\yr 1977
\vol 32
\issue 2
\pages 215--225
\crossref{https://doi.org/10.1070/SM1977v032n02ABEH002379}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1977GH22400003}
Linking options:
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  • https://doi.org/10.1070/SM1977v032n02ABEH002379
  • https://www.mathnet.ru/eng/sm/v145/i2/p253
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:497
    Russian version PDF:153
    English version PDF:14
    References:82
    First page:2
     
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