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Problemy Peredachi Informatsii, 2006, Volume 42, Issue 3, Pages 78–96 (Mi ppi55)  
This article is cited in 8 scientific papers (total in 8 papers)

Large Systems

Limit Dynamics for Stochastic Models of Data Exchange in Parallel Computation Networks

A. G. Malyshkin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (1511 kB) Citations (8)
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Abstract: We study limit dynamics of a system of interacting particles, which is one of possible models for the parallel and distributed computation process. For a rather wide class of multi-particle interactions, we prove that the stochastic process describing the configuration of a particle system weakly converges in the fluid-dynamic limit to a deterministic process, which is a solution of a certain partial differential equation.
Received: 20.12.2005
Revised: 18.04.2006
English version:
Problems of Information Transmission, 2006, Volume 42, Issue 3, Pages 234–250
DOI: https://doi.org/10.1134/S0032946006030070
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:004.7
Language: Russian
Citation: A. G. Malyshkin, “Limit Dynamics for Stochastic Models of Data Exchange in Parallel Computation Networks”, Probl. Peredachi Inf., 42:3 (2006), 78–96; Problems Inform. Transmission, 42:3 (2006), 234–250
Citation in format AMSBIB
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\by A.~G.~Malyshkin
\paper Limit Dynamics for Stochastic Models of Data Exchange in Parallel
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\yr 2006
\vol 42
\issue 3
\pages 78--96
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\transl
\jour Problems Inform. Transmission
\yr 2006
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\issue 3
\pages 234--250
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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