2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74182It is shown that for any family of probability measures in Ornstein type constructions the corresponding transformation has almost surely a singular spectrum. This is a new generalization of Bourgain's theorem, the same result is proved for Rudolph's construction.2004Dynamical SystemsPrimary : 28D05; secondary : 47A35text