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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Markov partitions are not smooth
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by Rufus Bowen
Proc. Amer. Math. Soc. 71 (1978), 130-132
DOI: https://doi.org/10.1090/S0002-9939-1978-0474415-8

Abstract:

The boundaries of the sets in a Markov partition for linear Anosov diffeomorphisms of ${T^3}$ cannot be smooth.
References
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Bibliographic Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 71 (1978), 130-132
  • MSC: Primary 58F15
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0474415-8
  • MathSciNet review: 0474415