Propagation of Chaos and Poisson Hypothesis

Serge Pirogov (1) , Alexander Rybko (2) , Senya Shlosman (1, 3, 4) , Alexander Vladimirov (2)

1 IITP - Kharkevich Institute for Information Transmission Problems
2 IITP - Institute for Information Transmission Problems
3 CPT - Centre de Physique Théorique - UMR 7332
4 CPT - E5 Physique statistique et systèmes complexes

We establish the Strong Poisson Hypothesis for symmetric closed networks. In particular, the asymptotic independence of the nodes as the size of the system tends to infinity is proved.

Domaines: Probabilités [math.PR]

Serge Pirogov, Alexander Rybko, Senya Shlosman, Alexander Vladimirov. Propagation of Chaos and Poisson Hypothesis. Problems of Information Transmission, 2018, 54 (3), pp.290-299. ⟨10.1134/S0032946018030080⟩. ⟨hal-02068983⟩