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