2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137242We consider Sinai's random walk in random environment. We prove that the logarithm of the local time is a good estimator of the random potential associated to the random environment. We give a constructive method allowing us to built the random environment from a single trajectory of the random walk.Probability60G50; 60J55; 62G05text