2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137281Let $ξ(k,n)$ be the local time of a simple symmetric random walk on the line. We give a strong approximation of the centered local time process $ξ(k,n)-ξ(0,n)$ in terms of a Wiener sheet and an independent Wiener process, time changed by an independent Brownian local time. Some related results and consequences are also established.Probability60J55, 60G50, 60F15, 60F17text