Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps
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- by Henk Bruin and Stefano Luzzatto PDF
- Proc. Amer. Math. Soc. 134 (2006), 265-272 Request permission
Abstract:
We explore some properties of Lyapunov exponents of measures preserved by smooth maps of the interval, and study the behaviour of the Lyapunov exponents under topological conjugacy.References
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Additional Information
- Henk Bruin
- Affiliation: Department of Mathematics, University of Surrey, Guildford, Surrey GU2 7XH, United Kingdom
- MR Author ID: 329851
- Email: h.bruin@eim.surrey.ac.uk
- Stefano Luzzatto
- Affiliation: Department of Mathematics, Imperial College, London SW7 2AZ, United Kingdom
- Email: stefano.luzzatto@imperial.ac.uk
- Received by editor(s): September 5, 2004
- Published electronically: August 19, 2005
- Additional Notes: The authors thank Juan Rivera-Letelier for drawing their attention to previous results relating to Lemma 1 and Proposition 1. They also thank Feliks Przytycki for pointing out an error in an earlier version of this paper.
- Communicated by: Michael Handel
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 265-272
- MSC (2000): Primary 37B10; Secondary 37A35, 11K99, 37A45
- DOI: https://doi.org/10.1090/S0002-9939-05-08040-8
- MathSciNet review: 2170567