Dmitri Krioukov, Massimo Ostilli
In statistical physics any given system can be either at an equilibrium or away from it. Networks are not an exception. Most network models can be safely classified as either equilibrium or growing. Here we show that if certain conditions are satisfied, there exists a growing counterpart for any equilibrium network model, and vice versa. The equivalence between the two systems is exact not only asymptotically, but even for any finite system size. The required conditions are satisfied in causal sets and to a large extent in some real complex networks.
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http://arxiv.org/abs/1302.3530
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