2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114072Compact locally maximal hyperbolic sets are studied via geometrically defined functional spaces that take advantage of the smoothness of the map in a neighborhood of the hyperbolic set. This provides a self-contained theory that not only reproduces all the known classical results but gives also new insights on the statistical properties of these systems.37 pagesDynamical Systems37A25, 37A30, 37D20text