2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146063We give a criterion to determine the large deviation rate functions for abstract dynamical systems on towers. As an application of this criterion we show the level 2 large deviation principle for some class of smooth interval maps with nonuniform hyperbolicity.26 pagesDynamical SystemsProbability37D25Recurrence times and large deviationstext