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.
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.
|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|
|Deposited By:||Mr Adam Field|
|Deposited On:||27 May 2010 15:40|
|Last Modified:||28 Sep 2012 10:50|
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