Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties

Details Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties

2006-06-28

arxiv.org/abs/math/0606722v1

Mathematics

Dynamical Systems

37 pages

Scientific paper

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.

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