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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Approximately transitive diffeomorphisms of the circle
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by J. Hawkins and E. J. Woods
Proc. Amer. Math. Soc. 90 (1984), 258-262
DOI: https://doi.org/10.1090/S0002-9939-1984-0727245-6

Abstract:

We prove that every ${C^3}$ diffeomorphism of the circle with an irrational rotation number (and some ${C^2}$ diffeomorphisms as well) are approximately transitive. This provides a class of examples of approximately transitive transformations which are smooth but non-measure-preserving.
References
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Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 90 (1984), 258-262
  • MSC: Primary 47A35; Secondary 28A99, 46L55
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0727245-6
  • MathSciNet review: 727245