Accessibility and ergodicity for collapsed Anosov flows
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.
| 2021 | |
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MATHEMATICS - DYNAMICAL SYSTEMS MATHEMATICS - GEOMETRIC TOPOLOGY |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44884 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522810105430016 |
|---|---|
| author | Fenley, Sergio |
| author2 | Potrie Altieri, Rafael |
| author2_role | author |
| author_facet | Fenley, Sergio Potrie Altieri, Rafael |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Fenley Sergio Potrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. |
| dc.creator.none.fl_str_mv | Fenley, Sergio Potrie Altieri, Rafael |
| dc.date.accessioned.none.fl_str_mv | 2024-07-24T12:23:03Z |
| dc.date.available.none.fl_str_mv | 2024-07-24T12:23:03Z |
| dc.date.issued.none.fl_str_mv | 2021 |
| dc.description.abstract.none.fl_txt_mv | 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. |
| dc.format.extent.es.fl_str_mv | 17 h. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | 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 |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2103.14630 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/44884 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Dynamical Systems), arXiv:2103.14630, mar. 2021 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.other.es.fl_str_mv | MATHEMATICS - DYNAMICAL SYSTEMS MATHEMATICS - GEOMETRIC TOPOLOGY |
| dc.title.none.fl_str_mv | Accessibility and ergodicity for collapsed Anosov flows |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_19f2a4f2965d0c23c7806c87acaf4809 |
| identifier_str_mv | 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 10.48550/arXiv.2103.14630 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/44884 |
| publishDate | 2021 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Fenley SergioPotrie Altieri Rafael, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2024-07-24T12:23:03Z2024-07-24T12:23:03Z2021Fenley, S y Potrie Altieri, R. "Accessibility and ergodicity for collapsed Anosov flows" [Preprint]. Publicado en: Mathematics (Dynamical Systems). arXiv:2103.14630, mar. 2021 . pp. 1-17https://hdl.handle.net/20.500.12008/4488410.48550/arXiv.2103.14630We 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.Submitted by Egaña Florencia (florega@gmail.com) on 2024-07-23T14:39:04Z No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2103.14630v1.pdf: 446142 bytes, checksum: a483a3b54ff3768b02b87b2a044d69a9 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2024-07-24T11:51:30Z (GMT) No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2103.14630v1.pdf: 446142 bytes, checksum: a483a3b54ff3768b02b87b2a044d69a9 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2024-07-24T12:23:03Z (GMT). No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2103.14630v1.pdf: 446142 bytes, checksum: a483a3b54ff3768b02b87b2a044d69a9 (MD5) Previous issue date: 202117 h.application/pdfenengarXivMathematics (Dynamical Systems), arXiv:2103.14630, mar. 2021Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)MATHEMATICS - DYNAMICAL SYSTEMSMATHEMATICS - GEOMETRIC TOPOLOGYAccessibility and ergodicity for collapsed Anosov flowsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaFenley, SergioPotrie Altieri, RafaelLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/44884/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/44884/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | Accessibility and ergodicity for collapsed Anosov flows Fenley, Sergio MATHEMATICS - DYNAMICAL SYSTEMS MATHEMATICS - GEOMETRIC TOPOLOGY |
| status_str | submittedVersion |
| title | Accessibility and ergodicity for collapsed Anosov flows |
| title_full | Accessibility and ergodicity for collapsed Anosov flows |
| title_fullStr | Accessibility and ergodicity for collapsed Anosov flows |
| title_full_unstemmed | Accessibility and ergodicity for collapsed Anosov flows |
| title_short | Accessibility and ergodicity for collapsed Anosov flows |
| title_sort | Accessibility and ergodicity for collapsed Anosov flows |
| topic | MATHEMATICS - DYNAMICAL SYSTEMS MATHEMATICS - GEOMETRIC TOPOLOGY |
| url | https://hdl.handle.net/20.500.12008/44884 |
