Llave R.
Smooth conjugacy and S-R-B measures for uniformly and non-uniformly 
hyperbolic systems
(419K, ps)

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.