Entropy-expansiveness for partially hyperbolic diffeomorphisms
| Autor: | Todd Fisher, Maria José Pacifico, José L. Vieitez, Lorenzo J. Díaz |
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| Rok vydání: | 2012 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Thermodynamic equilibrium Applied Mathematics Of the form Dynamical Systems (math.DS) 37D30 37C05 37B10 Bundle FOS: Mathematics Discrete Mathematics and Combinatorics Entropy (information theory) Mathematics - Dynamical Systems Mathematics::Symplectic Geometry Analysis Mathematics |
| Zdroj: | Discrete and Continuous Dynamical Systems. 32:4195-4207 |
| ISSN: | 1078-0947 |
| DOI: | 10.3934/dcds.2012.32.4195 |
| Popis: | We show that diffeomorphisms with a dominated splitting of the form $E^s\oplus E^c\oplus E^u$, where $E^c$ is a nonhyperbolic central bundle that splits in a dominated way into 1-dimensional subbundles, are entropy-expansive. In particular, they have a principal symbolic extension and equilibrium states. 15 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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