2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78245Independent random signs can govern various discrete models that converge to non-isomorphic continuous limits. Convergence of Fourier-Walsh spectra is established under appropriate conditions.11 pages, 3 figures, LaTeX2eProbability60K35 (Primary) 42C10, 60G05 (Secondary)Scaling limit of Fourier-Walsh coefficients (a framework)text