Un Theoreme de la Limite Locale Pour une Classe de Transformations Dilatantes et Monotones par Morceaux

Abstract

For a class of expansive transformations of the unit interval, we show a local limit theorem for the process $(f \circ T^n)_{n \in N}$, where $f$ is a real bounded variation function. We show also, that the speed in the central limit theorem is $1/\sqrt n$.