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math-ph2008★ 1 cited
Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load
Alexander Rybko, Senya Shlosman, Alexander Vladimirov
We prove that the general mean-field type networks at low load behave in accordance with the Poisson Hypothesis. That means that the network equilibrates in time independent of its…
math-ph2007★ 21 cited
Spontaneous Resonances and the Coherent States of the Queuing Networks
Alexander Rybko, Senya Shlosman, Alexander Vladimirov
We present an example of a highly connected closed network of servers, where the time correlations do not go to zero in the infinite volume limit. This phenomenon is similar to the…