Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-27T19:45:39.960Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected], [email protected], [email protected])
MARK HOLLAND
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK (e-mail: [email protected], [email protected], [email protected])
IAN MELBOURNE
Affiliation:
Department of Mathematics and Statistics, University of Surrey, Guildford GU2 7XH, UK (e-mail: [email protected], [email protected], [email protected])
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)