Decay of Correlations for the Gauss Map
We study the Gauss map and derive certain statistical properties, specifically upper bounds on the decay of correlations. The method is due to Liverani \cite{Main_Liverani}, which in turn is based on foundational work by Birkhoff \cite{LatticeTheory}. One defines a cone of functions, and then considers the induced Hilbert metric associated to the cone. A strict contraction in this metric gives exp
