Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3
Resumen:
We show that within a C1-neighbourhood U of the set of volume preserving Anosov diffeomorphisms on the three-torus T3 which are strongly partially hyperbolic with expanding center, any f∈U∩Diff2(T3) satisfies the dichotomy: either the strong stable and unstable bundles Es and Eu of f are jointly integrable, or any fully supported u-Gibbs measure of f is SRB.
| 2022 | |
| ANII: FCE_3_2018_1_148740 | |
| Dynamical Systems | |
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/34994 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522794727014400 |
|---|---|
| author | Álvarez, Sebastien |
| author2 | Leguil, Martin Obata, Davi Santiago, Bruno |
| author2_role | author author author |
| author_facet | Álvarez, Sebastien Leguil, Martin Obata, Davi Santiago, Bruno |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. Leguil Martin, Université de Picardie Jules Verne Obata Davi, University of Chicago Santiago Bruno, Universidade Federal Fluminense |
| dc.creator.none.fl_str_mv | Álvarez, Sebastien Leguil, Martin Obata, Davi Santiago, Bruno |
| dc.date.accessioned.none.fl_str_mv | 2022-11-24T15:44:13Z |
| dc.date.available.none.fl_str_mv | 2022-11-24T15:44:13Z |
| dc.date.issued.none.fl_str_mv | 2022 |
| dc.description.abstract.none.fl_txt_mv | We show that within a C1-neighbourhood U of the set of volume preserving Anosov diffeomorphisms on the three-torus T3 which are strongly partially hyperbolic with expanding center, any f∈U∩Diff2(T3) satisfies the dichotomy: either the strong stable and unstable bundles Es and Eu of f are jointly integrable, or any fully supported u-Gibbs measure of f is SRB. |
| dc.description.sponsorship.none.fl_txt_mv | ANII: FCE_3_2018_1_148740 |
| dc.format.extent.es.fl_str_mv | 66 h |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Álvarez, S, Leguil, M, Obata, D [y otro autor] "Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2022 arXiv:2208.00126, pp: 1-66. |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2208.00126 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/34994 |
| 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:2208.00126, jul 2022, pp 1-66 |
| 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.es.fl_str_mv | Dynamical Systems |
| dc.title.none.fl_str_mv | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 |
| 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 show that within a C1-neighbourhood U of the set of volume preserving Anosov diffeomorphisms on the three-torus T3 which are strongly partially hyperbolic with expanding center, any f∈U∩Diff2(T3) satisfies the dichotomy: either the strong stable and unstable bundles Es and Eu of f are jointly integrable, or any fully supported u-Gibbs measure of f is SRB. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_fadd7feb90793614372700df6b5231b9 |
| identifier_str_mv | Álvarez, S, Leguil, M, Obata, D [y otro autor] "Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2022 arXiv:2208.00126, pp: 1-66. 10.48550/arXiv.2208.00126 |
| 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:20.500.12008/34994 |
| publishDate | 2022 |
| 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 | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.Leguil Martin, Université de Picardie Jules VerneObata Davi, University of ChicagoSantiago Bruno, Universidade Federal Fluminense2022-11-24T15:44:13Z2022-11-24T15:44:13Z2022Álvarez, S, Leguil, M, Obata, D [y otro autor] "Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2022 arXiv:2208.00126, pp: 1-66.https://hdl.handle.net/20.500.12008/3499410.48550/arXiv.2208.00126We show that within a C1-neighbourhood U of the set of volume preserving Anosov diffeomorphisms on the three-torus T3 which are strongly partially hyperbolic with expanding center, any f∈U∩Diff2(T3) satisfies the dichotomy: either the strong stable and unstable bundles Es and Eu of f are jointly integrable, or any fully supported u-Gibbs measure of f is SRB.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-24T11:31:38Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2208.00126.pdf: 800899 bytes, checksum: 813fe3d182d03a9890bc9306f3e9c9f7 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-24T12:06:42Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2208.00126.pdf: 800899 bytes, checksum: 813fe3d182d03a9890bc9306f3e9c9f7 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-11-24T15:44:13Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2208.00126.pdf: 800899 bytes, checksum: 813fe3d182d03a9890bc9306f3e9c9f7 (MD5) Previous issue date: 2022ANII: FCE_3_2018_1_14874066 happlication/pdfenengarXivMathematics (Dynamical Systems), arXiv:2208.00126, jul 2022, pp 1-66Las 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)Dynamical SystemsRigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3Preprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaÁlvarez, SebastienLeguil, MartinObata, DaviSantiago, BrunoLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/34994/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/34994/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-838616http://localhost:8080/xmlui/bitstream/20.500.12008/34994/3/license_text36c32e9c6da50e6d55578c16944ef7f6MD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 Álvarez, Sebastien Dynamical Systems |
| status_str | submittedVersion |
| title | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 |
| title_full | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 |
| title_fullStr | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 |
| title_full_unstemmed | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 |
| title_short | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 |
| title_sort | Rigidity of U-Gibbs measures near conservative Anosov diffeomorphisms on T3 |
| topic | Dynamical Systems |
| url | https://hdl.handle.net/20.500.12008/34994 |
