Smooth Conjugacy and S{r{b Measures for Uniformly and Non-uniformly Hyperbolic Systems
نویسنده
چکیده
We give a new proof of the fact that the eigenvalues at correspondig periodic orbits form a complete set of invariants for the smooth conjugacy of low dimensional Anosov systems. We also show that, if a homeomorphism conjugating two smooth low dimensional Anosov systems is absolutely continuous , then it is as smooth as the maps. We furthermore prove generalizations of thse facts for non-uniformly hyperbolic systems as well as extensions and counterexaples in higher dimensions.
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