2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73981We consider Sinai's random walk in random environment. We prove that for an interval of time [1,n] Sinai's walk sojourns in a small neighborhood of the point of localization for the quasi totality of this amount of time. Moreover the local time at the point of localization normalized by $n$ converges in probability to a well defined random variable of the environment.ProbabilityMSC2000 60G50; 60J55text