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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps


Authors: Henk Bruin and Stefano Luzzatto
Journal: Proc. Amer. Math. Soc. 134 (2006), 265-272
MSC (2000): Primary 37B10; Secondary 37A35, 11K99, 37A45
Published electronically: August 19, 2005
MathSciNet review: 2170567
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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.


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Additional Information

Henk Bruin
Affiliation: Department of Mathematics, University of Surrey, Guildford, Surrey GU2 7XH, United Kingdom
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

DOI: http://dx.doi.org/10.1090/S0002-9939-05-08040-8
PII: S 0002-9939(05)08040-8
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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.