Stable sets, hyperbolicity and dimension
Rasul Shafikov, Christian Wolf
Abstract
In this note we derive an upper bound for the Hausdorff dimension of the stable set of a hyperbolic set Λ of a C2 diffeomorphisms on a n-dimensional manifold. As a consequence we obtain that H Ws(Λ)=n is equivalent to the existence of a SRB-measure. We also discuss related results in the case of expanding maps.
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