2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71784A random field composed by Poisson distributed Brownian vortex filaments is constructed. The filament have a random thickness, length and intensity, governed by a measure $γ$. Under appropriate assumptions on $γ$ we compute the scaling law of the structure function and get the multifractal scaling as a particular case.36 pages, no figuresProbabilityMathematical Physics60G60 (Primary) 76F55 (Secondary)text