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Topological entropies of equivalent smooth flows
Author(s):
Wenxiang
Sun;
Todd
Young;
Yunhua
Zhou
Journal:
Trans. Amer. Math. Soc.
361
(2009),
3071-3082.
MSC (2000):
Primary 37C15, 34C28, 37A10
Posted:
December 29, 2008
MathSciNet review:
2485418
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Additional information
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
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
DOI:
10.1090/S0002-9947-08-04743-0
PII:
S 0002-9947(08)04743-0
Keywords:
Measure-theoretic entropy,
equivalent flow,
singularity.
Received by editor(s):
May 31, 2007
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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