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

Sebastien Gouezel·Carlangelo Liverani
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Abstract

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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Sebastien Gouezel, Carlangelo Liverani. 2006-06-28. Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties. https://arxiv.org/abs/math/0606722

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