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Some compact invariant sets for hyperbolic linear automorphisms of torii

Some compact invariant sets for hyperbolic linear automorphisms of torii

Abstract If the action induced by a pseudo-Anosov map on the first homology group is hyperbolic, it is possible, by a theorem of Franks, to find a compact invariant set for the toral automorphism associated with this action. If the stable and unstable foliations of the Pseudo-Anosov map are orientable, …