Título:
Accessibility and ergodicity for collapsed Anosov flows
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Autor:
Fenley, Sergio
Potrie Altieri, Rafael
Potrie Altieri, Rafael
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Tipo de documento:
Preprint
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Descriptores:
MATHEMATICS - DYNAMICAL SYSTEMS
MATHEMATICS - GEOMETRIC TOPOLOGY
MATHEMATICS - GEOMETRIC TOPOLOGY
Año de publicación:
2021
Contenido:
Resumen:
We consider a class of partially hyperbolic diffeomorphisms introduced in [BFP] which is open and closed and contains all known examples. If in addition the diffeomorphism is non-wandering, then we show it is accessible unless it contains a su-torus. This implies that these systems are ergodic when they preserve volume, confirming a conjecture by Hertz-Hertz-Ures for this class of systems.
Descripción:
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arXiv
EN:
Mathematics (Dynamical Systems), arXiv:2103.14630, mar. 2021
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Citación:
Fenley, S y Potrie Altieri, R. "Accessibility and ergodicity for collapsed Anosov flows" [Preprint]. Publicado en: Mathematics (Dynamical Systems). arXiv:2103.14630, mar. 2021 . pp. 1-17
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Licencia:
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
Colecciones:
| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2103.14630v1.pdf | Preprint | 435.69 KB | Adobe PDF |