Propagation of Chaos and Poisson Hypothesis


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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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