2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213396I introduce a simple continuous probability theory based on the Ginzburg-Landau equation that provides for the first time a common analytical basis to relate and describe the main features of two seemingly different phenomena of condensed-matter physics, namely self-organized criticality and multifractality. Numerical support is given by a comparison with reported simulation data. Within the theory the origin of self-organized critical phenomena is analysed in terms of a nonlinear singularity spectrum different from the typical convex shape due to multifractal measures.IC/92/334, To appear Phys. Rev. A (Rapid Commun.)Condensed Mattertext