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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. ISSN 0143-3857

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Abstract

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.

Item Type: Article
Additional Information: Ergodic Theory & Dynamical Systems, 25, 6, 1719-1738. © 2005 Cambridge University Press. Reprinted with permission.
Uncontrolled Keywords: nonuniformly expanding systems, compact group extensions
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1454

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