- 91-4 Llave R.
- Smooth conjugacy and S-R-B measures for uniformly and non-uniformly
Jul 10, 91
(auto. generated ps),
of related papers
Abstract. We give a new proof of the fact that the eigenvalues at
corresponding 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 these facts
for non-uniformly hyperbolic systems as well as extensions and
counterexaples in higher dimensions.