2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137214For axiom A diffeomorphisms and equilibrium state, we prove a Large deviation result for the sequence of successive return times into a fixed open set, under some assumption on the boundary. Our result relies on and extends the work by Chazottes and Leplaideur who where considering cylinder sets of a Markov partition.Dynamical Systems37B20, 37C45, 37D20, 37D35, 60F10text