Subexponential Decay of Correlations for Compact Group Extensions of Nonuniformly Expanding Systems
Bruin, Henk, Holland, Mark and Ian, Melbourne (2005) Subexponential Decay of Correlations for Compact Group Extensions of Nonuniformly Expanding Systems Ergodic Theory and Dynamical Systems, 25 (06). pp. 1719-1738.
We show that the renewal theory developed by Sarig and Gouezel in the context of nonuniformly expanding dynamical systems applies also to the study of compact group extensions of such systems. As a consquence, we obtain results on subexponential decay of correlations for equivariant Holder observations.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||1 December 2005|
|Identification Number :||https://doi.org/10.1017/S014338570500026X|
|Uncontrolled Keywords :||nonuniformly expanding systems, compact group extensions|
|Additional Information :||Ergodic Theory & Dynamical Systems, 25, 6, 1719-1738. © 2005 Cambridge University Press. Reprinted with permission.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:41|
|Last Modified :||23 Sep 2013 18:33|
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