2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/122581The following is a near complete set of notes of Bourgain's 1988 paper "Almost Sure Convergence and Bounded Entropy." Both entropy results are treated, as is one application. The proofs here are essentially those of Bourgain's.28 pages, no figures; added more references in version 2Classical Analysis and ODEsProbability28D20text