2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/26015Hierarchical models of scale free networks are introduced where numbers of nodes in clusters of a given hierarchy are stochastic variables. Our models show periodic oscillations of degree distribution P(k) in the log-log scale. Periods and amplitudes of such oscillations depend on network parameters. Numerical simulations are in a good agreement to analytical calculations.13 pages, 6 figuresDisordered Systems and Neural NetworksStatistical Mechanicstext