2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209724For percolating systems, we propose a universal exponent relation connecting the leading corrections to scaling of the cluster size distribution with the dynamic corrections to the asymptotic transport behaviour at criticality. Our derivation is based on a cluster-resolved scaling theory unifying the scaling of both the cluster size distribution and the dynamics of a random walker. We corroborate our theoretical approach by extensive simulations for a site percolating square lattice and numerically determine both the static and dynamic correction exponents.6 pages, 5 figures, 1 tableStatistical MechanicsDisordered Systems and Neural Networkstext