Compact locally maximal hyperbolic sets for smooth maps: fine   statistical properties
  Compact locally maximal hyperbolic sets are studied via geometrically defined functional spaces that take advantage of the smoothness of the map in a neighborhood of the hyperbolic set. This provides a self-contained theory that not only reproduces all the known classical results but gives also new insights on the statistical properties of these systems. 
Sebastien Gouezel (IRMAR), Carlangelo Liverani