Decay of correlations for nonuniformly expanding systems with general return times

Ergodic Theory Dyn. Syst 34 (2014) 893-918

Ian Melbourne and Dalia Terhesiu


Abstract We give a unified treatment of decay of correlations for nonuniformly expanding systems with a good inducing scheme. In addition to being more elementary than previous treatments, our results hold for general integrable return time functions under fairly mild conditions on the inducing scheme.


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