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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Topological entropies of equivalent smooth flows
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by Wenxiang Sun, Todd Young and Yunhua Zhou PDF
Trans. Amer. Math. Soc. 361 (2009), 3071-3082 Request permission

Abstract:

We construct two equivalent smooth flows, one of which has positive topological entropy and the other has zero topological entropy. This provides a negative answer to a problem posed by Ohno.
References
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Additional Information
  • Wenxiang Sun
  • Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing, People’s Republic of China
  • MR Author ID: 315192
  • Email: sunwx@math.pku.edu.cn
  • Todd Young
  • Affiliation: Department of Mathematics, Ohio University, Athens, Ohio 45701
  • Email: young@math.ohiou.edu
  • Yunhua Zhou
  • Affiliation: School of Mathematical Sciences, Peking University, Beijing, People’s Republic of China
  • Email: zhouyh@math.pku.edu.cn
  • Received by editor(s): May 31, 2007
  • Published electronically: December 29, 2008
  • Additional Notes: The first author was supported by NSFC (#10231020, #10671006) and National Basic Research Program of China (973 Program) (#2006CB805900).
    The second author was supported by an Ohio University Faculty Fellowship Leave
    The third author was supported by NSFC (#10671006).
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 361 (2009), 3071-3082
  • MSC (2000): Primary 37C15, 34C28, 37A10
  • DOI: https://doi.org/10.1090/S0002-9947-08-04743-0
  • MathSciNet review: 2485418