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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
English version PDF (703 kB) Citations (44)
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DOI: https://doi.org/10.1070/RM2002v057n02ABEH000496
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
Russian version:
Uspekhi Matematicheskikh Nauk, 2002, Volume 57, Issue 2(344), Pages 23–84
DOI: https://doi.org/10.4213/rm496
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”, Uspekhi Mat. Nauk, 57:2(344) (2002), 23–84; Russian Math. Surveys, 57:2 (2002), 241–304
Citation in format AMSBIB
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    • This publication is cited in the following 44 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:885
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    References:109
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