2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130945We investigate the asymptotic behavior of sample functions of stable processes when $t{\to}\infty$. We compare our results with the iterated logarithm law, results for the first hitting time and most visited sites problems.ProbabilityStatistics Theory60G52; 62G20; 47N30text