Berry-Esseen theorem and local limit theorem for non uniformly expanding maps

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68975We prove that, in Young towers with sufficiently small tails, the speed in the central limit theorem is O(1/\sqrt{n}), and the local limit theorem holds. This implies the same results for many non uniformly expanding dynamical systems, namely those for which a tower with sufficiently fast returns can be constructed.37 pagesDynamical Systems37A30;37A50;37C30;37E05;47A56;60F15Berry-Esseen theorem and local limit theorem for non uniformly expanding mapstext