Analytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs

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dc.creatorAbe, Sumiyoshi
dc.creatorThurner, Stefan
dc.date2005-01-18
dc.date.accessioned2026-07-07T03:03:19Z
dc.date.available2026-07-07T03:03:19Z
dc.descriptionIn analogy to superstatistics, which connects Boltzmann-Gibbs statistical mechanics to its generalizations through temperature fluctuations, complex networks are constructed from the fluctuating Erdos-Renyi random graphs. Here, using the quantum mechanical method, the exact analytic formula is presented for the hidden variable distribution, which describes the fluctuation and generates a generic degree distribution through the Poisson transformation. As an example, a static scale-free network is discussed and the corresponding hidden variable distribution is found to decay as a power law.
dc.description12 pages and 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0501429
dc.identifierhttp://arxiv.org/abs/cond-mat/0501429
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25704
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleAnalytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs
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