Statistical properties of compact group extensions of Hyperbolic flows and their time one maps
Field, M., Melbourne, I., Nicol, M. and Török , A. (2005) Statistical properties of compact group extensions of Hyperbolic flows and their time one maps Disc. Cont. Dyn. Syst., 12 (2005).
Recent work of Dolgopyat shows that "typical" hyperbolic flows exhibit rapid decay of correlations. Melbourne and Török used this result to derive statistical limit laws such as the central limit theorem and the almost sure invariance principle for the time-ine map of such flows. In this paper, we extend these results to equivariant observations on compact group extensions of hyperbolic flows and their time one maps.
|Additional Information:||Disc. Cont. Dyn. Syst. 12 (2005) 79-96|
|Uncontrolled Keywords:||compact group extensions, hyperbolic flows|
|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|
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