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Article Dans Une Revue Markov Processes And Related Fields Année : 2010

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

Résumé

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.

Dates et versions

hal-00350517 , version 1 (07-01-2009)

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Alexander Rybko, Senya Shlosman, Alexander Vladimirov. Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load. Markov Processes And Related Fields, 2010, 16 (2), pp.267-285. ⟨hal-00350517⟩
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