A. A. Vladimirov, S. A. Pirogov, A. N. Rybko, S. B. Shlosman, “Propagation of chaos and Poisson hypothesis”, Probl. Peredachi Inf., 2018, Volume 54, Issue 3,Pages <nobr>102

This article is cited in 2 papers

Communication Network Theory

Propagation of chaos and Poisson hypothesis

A. A. Vladimirov^a, S. A. Pirogov^a, A. N. Rybko^a, S. B. Shlosman^abc

^a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
^b Skolkovo Institute of Science and Technology, Moscow, Russia
^c Aix Marseille Université, Université de Toulon, CNRS, CPT, Marseille, France

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.

UDC: 621.391.1:519.2

Received: 21.10.2016
Revised: 25.04.2018