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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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