2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143527For Axiom A diffeomorphisms and equilibrium states, we prove a Large deviations result for the sequence of successive return times into a fixed Borel set, under some assumption on the boundary. Our result relies on and extends the work by Chazottes and Leplaideur who considered cylinder sets of a Markov partition.Dynamical Systems37B20, 37C45, 37D20, 37D35, 60F10text