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

Sumiyoshi Abe; Stefan Thurner

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arXiv · cond-mat/0501429

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

Sumiyoshi Abe·Stefan Thurner

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Abstract

In 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.

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Sumiyoshi Abe, Stefan Thurner. 2005-01-18. Analytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs. https://arxiv.org/abs/cond-mat/0501429

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