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This is a textbook, in Spanish, for an introductory short course thatfocusses on the ergodic properties of topological and statistical attractors.It is directed to graduate students in Mathematics and related Science, inparticular to the students-participants of the XXVI Escuela Venezolana deMatem\'atica. The first three chapters include a review of the basic conceptsand properties of the ergodic theory and of the topological and differentiabledynamics of systems that evolve on discrete time. They do not require from thereader previous knowledge on Dynamical Systems. The latter three chaptersdevelop the theory of topological attractors, SRB measures, and the existenceof Gibbs and physical measures for hyperbolic and sufficiently differentiablesystems. Finally, for continuous and non necessarily differentiable systems, weinclude a review of Milnor's and Ilyashenko's or statistical attractors, theproof of their existence and the relation between statistical attractors andthe "SRB-like" or pseudo-physical measures.

Teor\'ia Erg\'odica de los Atractores Topol\'ogicos y Estad\'isticos (Ergodic Theory of Topological and Statistical Attractors) (Spanish)