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Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions

Field, Michael, Melbourne, Ian and Török, Andrew (2003) Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions Dynamical Systems, 23. pp. 87-110.

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Abstract

Hölder continuous observations on hyperbolic basic sets satisfy strong statistical properties such as exponential decay of correlations, central limit theorems and invariance principles (approximation by Brownian motion). Using an equivariant version of the Ruelle transfer operator studied by Parry and Pollicott, we obtain similar results for equivariant observations on compact group extensions of hyperbolic basic sets.

Item Type: Article
Additional Information: Published in Ergodic Theory and Dynamical Systems, Vol. 23 (1), pp. 87-110. © 2003 Cambridge University Press. Reprinted with permission.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:40
Last Modified: 23 Sep 2013 18:32
URI: http://epubs.surrey.ac.uk/id/eprint/1405

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