| Title | AN ENTROPY DICHOTOMY FOR SINGULAR STAR FLOWS |
| Author | |
| Corresponding Author | Pacifico, Maria Jose |
| Publication Years | 2023-07-01
|
| DOI | |
| Source Title | |
| ISSN | 0002-9947
|
| EISSN | 1088-6850
|
| Abstract | We show that non-trivial chain recurrent classes for generic C1 star flows satisfy a dichotomy: either they have zero topological entropy, or they must be isolated. Moreover, chain recurrent classes for generic star flows with zero entropy must be sectional hyperbolic, and cannot be detected by any non-trivial ergodic invariant probability measure. As a result, we show that C1 generic star flows have only finitely many Lyapunov stable chain recurrent classes. |
| URL | [Source Record] |
| Indexed By | |
| Language | English
|
| SUSTech Authorship | Others
|
| Funding Project | CAPES[001]
; FAPERJ[CNE-239069]
; NSFC of China[11871487]
|
| WOS Research Area | Mathematics
|
| WOS Subject | Mathematics
|
| WOS Accession No | WOS:001038246300001
|
| Publisher | |
| ESI Research Field | MATHEMATICS
|
| Data Source | Web of Science
|
| Citation statistics | |
| Document Type | Journal Article |
| Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/583066 |
| Department | Department of Mathematics |
| Affiliation | 1.Univ Fed Rio De Janeiro, Inst Matemat, CP 68-530, BR-21945970 Rio De Janeiro, RJ, Brazil 2.Wake Forest Univ, Dept Math, Winston Salem, NC USA 3.Southern Univ Sci & Technol China, Dept Math, Shenzhen, Guangdong, Peoples R China 4.Univ Fed Fluminense, Dept Geometria, Inst Matemat & Estat, Niteroi, Brazil |
| Recommended Citation GB/T 7714 |
Pacifico, Maria Jose,Yang, Fan,Yang, Jiagang. AN ENTROPY DICHOTOMY FOR SINGULAR STAR FLOWS[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2023.
|
| APA |
Pacifico, Maria Jose,Yang, Fan,&Yang, Jiagang.(2023).AN ENTROPY DICHOTOMY FOR SINGULAR STAR FLOWS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY.
|
| MLA |
Pacifico, Maria Jose,et al."AN ENTROPY DICHOTOMY FOR SINGULAR STAR FLOWS".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2023).
|
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