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Problemy Peredachi Informatsii, 2017, Volume 53, Issue 4, Pages 84–94 (Mi ppi2254)  
This article is cited in 1 scientific paper (total in 1 paper)

Large Systems

Stochastic operation induced by group allocation of particles and generalized branching processes

A. V. Lebedev

Department of Probability Theory, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
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Abstract: We introduce a stochastic operation induced by group allocation of particles in cells, which belongs to the class of Archimedean operations. We analyze its properties and prove limit theorems. We also introduce and study branching processes with this operation, which can describe various phenomena in biological populations and computer networks, including virus propagation. In the limit, a nonlinear dynamical system occurs.
Received: 08.01.2017
Revised: 01.03.2017
English version:
Problems of Information Transmission, 2017, Volume 53, Issue 4, Pages 381–390
DOI: https://doi.org/10.1134/S0032946017040068
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.21
Language: Russian
Citation: A. V. Lebedev, “Stochastic operation induced by group allocation of particles and generalized branching processes”, Probl. Peredachi Inf., 53:4 (2017), 84–94; Problems Inform. Transmission, 53:4 (2017), 381–390
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:27
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