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Russian Mathematical Surveys, 2002, Volume 57, Issue 2, Pages 241–304
DOI: https://doi.org/10.1070/RM2002v057n02ABEH000496
(Mi rm496)
 

This article is cited in 44 scientific papers (total in 44 papers)

Markov branching processes with interaction

A. V. Kalinkin

N. E. Bauman Moscow State Technical University
References:
Abstract: In the paper we consider Markov processes, with countable set of states, interpreted as systems of particles of several types that interact as complexes for which the result of interaction with a complex of particles does not depend on the presence of other particles in the system. The apparatus of multivariate generating functions is used to find exact closed solutions of the first and second Kolmogorov system of differential equations for the transition probabilities. In our examples analytic methods are used to treat actual transmutation processes of particles in diverse areas of science.
Received: 21.02.2001
Bibliographic databases:
Document Type: Article
UDC: 515.124.4
MSC: Primary 60J80, 60K35; Secondary 60J25, 60J35, 60G50, 60G10, 92D30, 82C05, 92D25
Language: English
Original paper language: Russian
Citation: A. V. Kalinkin, “Markov branching processes with interaction”, Russian Math. Surveys, 57:2 (2002), 241–304
Citation in format AMSBIB
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\by A.~V.~Kalinkin
\paper Markov branching processes with interaction
\jour Russian Math. Surveys
\yr 2002
\vol 57
\issue 2
\pages 241--304
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\crossref{https://doi.org/10.1070/RM2002v057n02ABEH000496}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918194}
\zmath{https://zbmath.org/?q=an:1042.60056}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2002RuMaS..57..241K}
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\elib{https://elibrary.ru/item.asp?id=13413046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0036510736}
Linking options:
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  • https://doi.org/10.1070/RM2002v057n02ABEH000496
  • https://www.mathnet.ru/eng/rm/v57/i2/p23
  • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1670
    Russian version PDF:896
    English version PDF:46
    References:110
    First page:2
     
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