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arXiv · 0811.3577

Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load

Alexander Rybko·Senya Shlosman·Alexander Vladimirov
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Abstract

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 size. This is a "high-temperature" counterpart of our earlier result, where we have shown that at high load the relaxation time can diverge with the size of the network ("low-temperature"). In other words, the phase transitions in the networks can happen at high load, but cannot take place at low load.

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Alexander Rybko, Senya Shlosman, Alexander Vladimirov. 2008-11-21. Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load. https://arxiv.org/abs/0811.3577

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