2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25704In 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.12 pages and 1 figureDisordered Systems and Neural NetworksStatistical MechanicsAnalytic formula for hidden variable distribution: Complex networks arising from fluctuating random graphstext