2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/19395We present a new theoretical framework for Diffusion Limited Aggregation and associated Dielectric Breakdown Models in two dimensions. Key steps are understanding how these models interrelate when the ultra-violet cut-off strategy is changed, the analogy with turbulence and the use of logarithmic field variables. Within the simplest, Gaussian, truncation of mode-mode coupling, all properties can be calculated. The agreement with prior knowledge from simulations is encouraging, and a new superuniversality of the tip scaling exponent is both predicted and confirmed.4 pages, 3 figures, submitted to PRLStatistical MechanicsTheory of Diffusion Controlled Growthtext