From decay of correlations to recurrence times in systems with contracting directions

Abstract

Classic results by L.-S. Young show that the decay of correlations for systems that admit inducing schemes can be obtained through the recurrence rates of the inducing scheme. Reciprocal results were obtained for non-invertible systems (without contracting directions). Here, we obtain reciprocal results also for invertible systems (with contracting directions).

arXiv commentSome corrections have been introduced. The previous withdrawal was made by mistake