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Subexponential decay of correlations for compact group extensions of non-uniformly expanding systems

Published online by Cambridge University Press:  16 November 2005

HENK BRUIN ,
MARK HOLLAND  and
IAN MELBOURNE
HENK BRUIN
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK (e-mail: h.bruin@surrey.ac.uk, mark.holland@surrey.ac.uk, i.melbourne@surrey.ac.uk)
MARK HOLLAND
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK (e-mail: h.bruin@surrey.ac.uk, mark.holland@surrey.ac.uk, i.melbourne@surrey.ac.uk)
IAN MELBOURNE
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK (e-mail: h.bruin@surrey.ac.uk, mark.holland@surrey.ac.uk, i.melbourne@surrey.ac.uk)
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Abstract

We show that the renewal theory developed by Sarig and Gouëzel in the context of non-uniformly 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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 6 , December 2005 , pp. 1719 - 1738
Copyright
2005 Cambridge University Press

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