Propagation of Chaos and Poisson Hypothesis
- Authors: Vladimirov A.A.1, Pirogov S.A.1, Rybko A.N.1, Shlosman S.B.1,2,3
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Affiliations:
- Kharkevich Institute for Information Transmission Problems
- Skolkovo Institute of Science and Technology
- Aix Marseille Université, Université de Toulon
- Issue: Vol 54, No 3 (2018)
- Pages: 290-299
- Section: Communication Network Theory
- URL: https://journal-vniispk.ru/0032-9460/article/view/166546
- DOI: https://doi.org/10.1134/S0032946018030080
- ID: 166546
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Abstract
We establish the strong Poisson hypothesis for symmetric closed networks. In particular, we prove asymptotic independence of nodes as the size of the system tends to infinity.
About the authors
A. A. Vladimirov
Kharkevich Institute for Information Transmission Problems
Author for correspondence.
Email: vladim@iitp.ru
Russian Federation, Moscow
S. A. Pirogov
Kharkevich Institute for Information Transmission Problems
Email: vladim@iitp.ru
Russian Federation, Moscow
A. N. Rybko
Kharkevich Institute for Information Transmission Problems
Email: vladim@iitp.ru
Russian Federation, Moscow
S. B. Shlosman
Kharkevich Institute for Information Transmission Problems; Skolkovo Institute of Science and Technology; Aix Marseille Université, Université de Toulon
Email: vladim@iitp.ru
Russian Federation, Moscow; Moscow; Marseille
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