Journal of Differential Geometry

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

Sébastien Gouëzel and Carlangelo Liverani

Full-text: Open access

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 also gives new insights on the statistical properties of these systems.

Article information

Source
J. Differential Geom., Volume 79, Number 3 (2008), 433-477.

Dates
First available in Project Euclid: 18 June 2008

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1213798184

Digital Object Identifier
doi:10.4310/jdg/1213798184

Mathematical Reviews number (MathSciNet)
MR2433929

Zentralblatt MATH identifier
1166.37010

Citation

Gouëzel, Sébastien; Liverani, Carlangelo. Compact locally maximal hyperbolic sets for smooth maps: fine statistical properties. J. Differential Geom. 79 (2008), no. 3, 433--477. doi:10.4310/jdg/1213798184. https://projecteuclid.org/euclid.jdg/1213798184


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