2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/13693We show how the interplay of non-linear dynamics, self-gravity, and fluctuations leads to self-affine behavior of matter density correlations quite generically, i.e., with a power-law exponent whose value does not depend in a very direct way on the specific details of the dynamics. This we do by means of the Renormalization Group, a powerful analytic tool for extracting asymptotic behavior of many-body systemsAccepted for publication in Astronomy & Astrophysics. 10 pages using A&A style file; 2 eps figuresAstrophysicstext