Analytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs
Disordered Systems and Neural Networks
2007-05-23 v1 Statistical Mechanics
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.
Cite
@article{arxiv.cond-mat/0501429,
title = {Analytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphs},
author = {Sumiyoshi Abe and Stefan Thurner},
journal= {arXiv preprint arXiv:cond-mat/0501429},
year = {2007}
}
Comments
12 pages and 1 figure