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

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dc.creatorRybko, Alexander
dc.creatorShlosman, Senya
dc.creatorVladimirov, Alexander
dc.date2008-11-21
dc.date.accessioned2026-07-07T10:20:09Z
dc.date.available2026-07-07T10:20:09Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0811.3577
dc.identifierhttp://arxiv.org/abs/0811.3577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174756
dc.subjectMathematical Physics
dc.subject82C20; 60J25
dc.titleAbsence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load
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