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Moscow Mathematical Journal, 2008, Volume 8, Number 1, Pages 159–180
DOI: https://doi.org/10.17323/1609-4514-2008-8-1-159-180 (Mi mmj8) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Phase transitions in the queuing networks and the violation of the Poisson hypothesis

A. N. Rybkoab, S. B. Shlosmanab

a Institute for Information Transmission Problems, Russian Academy of Sciences
b CNRS – Center of Theoretical Physics
Full-text PDF Citations (7)
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DOI: https://doi.org/10.17323/1609-4514-2008-8-1-159-180
URL: https://www.ams.org/distribution/mmj/vol8-1-2008/abst8-1-2008.html#rybko-shlosman
Abstract: We present examples of queuing networks that never come to equilibrium. That is achieved by constructing certain non-linear Markov evolutions, which are non-ergodic and possess eternal transience property.
Key words and phrases: Self-averaging, mean field, eternal transience.
Received: April 26, 2006
Bibliographic databases:
MSC: Primary 82C20; Secondary 60J25
Language: English
Citation: A. N. Rybko, S. B. Shlosman, “Phase transitions in the queuing networks and the violation of the Poisson hypothesis”, Mosc. Math. J., 8:1 (2008), 159–180
Citation in format AMSBIB
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\by A.~N.~Rybko, S.~B.~Shlosman
\paper Phase transitions in the queuing networks and the violation of the Poisson hypothesis
\jour Mosc. Math.~J.
\yr 2008
\vol 8
\issue 1
\pages 159--180
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\crossref{https://doi.org/10.17323/1609-4514-2008-8-1-159-180}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2422271}
\zmath{https://zbmath.org/?q=an:1155.82012}
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    • This publication is cited in the following 7 articles:
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