2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155573We give an explicit expression for the invariant measure, absolutely continuous with respect to the Lebesgue measure, of the greedy beta-transformation with three deleted digits. We define a version of the natural extension of the transformation to obtain this expression. We get that the transformation is exact and weakly Bernoulli.21 pagesDynamical Systems37A05; 11K55text