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

Michael Field, Ian Melbourne, Andrew Török

Type: Article

Publication Date: 2003-01-16

Citations: 63

DOI: https://doi.org/10.1017/s0143385702000901

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.

Locations

Ergodic Theory and Dynamical Systems - View
Surrey Open Research repository (University of Surrey) - View - PDF

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