Subexponential decay of correlations for compact group extensions of nonuniformly expanding systems

Ergodic Theory Dyn. Syst. 25 (2005) 1719-1738

Henk Bruin, Mark Holland and Ian Melbourne


Abstract

We show that the renewal theory developed by Sarig and Gouëzel in the context of nonuniformly expanding dynamical systems applies also to the study of compact group extensions of such systems. As a consequence, we obtain results on subexponential decay of correlations for equivariant Hölder observations.


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