Robust transitivity for endomorphisms admitting critical points
Resumen:
We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different type of open examples of robustly transitive maps in any isotopic class of endomorphisms acting on the two dimensional torus admitting persistent critical points. We also provide some necessary condition for robust transitivity in this setting.
| 2015 | |
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Robustly transitive endomorphisms Critical set |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54827 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1877555248028975104 |
|---|---|
| author | Iglesias, Jorge |
| author2 | Lizana, Cristina Portela, Aldo |
| author2_role | author author |
| author_facet | Iglesias, Jorge Lizana, Cristina Portela, Aldo |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Iglesias Jorge, Universidad de la República (Uruguay). Facultad de Ingeniería. Lizana Cristina, Universidade Federal da Bahia, Brasil Portela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería. |
| dc.creator.none.fl_str_mv | Iglesias, Jorge Lizana, Cristina Portela, Aldo |
| dc.date.accessioned.none.fl_str_mv | 2026-05-07T17:24:56Z |
| dc.date.available.none.fl_str_mv | 2026-05-07T17:24:56Z |
| dc.date.issued.none.fl_str_mv | 2015 |
| dc.description.abstract.none.fl_txt_mv | We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different type of open examples of robustly transitive maps in any isotopic class of endomorphisms acting on the two dimensional torus admitting persistent critical points. We also provide some necessary condition for robust transitivity in this setting. |
| dc.format.extent.es.fl_str_mv | 15 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Iglesias, J., Lizana, C. y Portela, A. Robust transitivity for endomorphisms admitting critical points [Preprint] Publicado en : arXiv:1408.1661v2 [math.DS], 2015, pp. 1-15. DOI: 10.48550/arXiv.1408.1661. https://arxiv.org/abs/1408.1661. |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/54827 |
| dc.language.iso.none.fl_str_mv | en eng |
| 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 | Robustly transitive endomorphisms Critical set |
| dc.title.none.fl_str_mv | Robust transitivity for endomorphisms admitting critical points |
| 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 address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different type of open examples of robustly transitive maps in any isotopic class of endomorphisms acting on the two dimensional torus admitting persistent critical points. We also provide some necessary condition for robust transitivity in this setting. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_ca6bb84e9063edcc78b91b21208d5aa3 |
| identifier_str_mv | Iglesias, J., Lizana, C. y Portela, A. Robust transitivity for endomorphisms admitting critical points [Preprint] Publicado en : arXiv:1408.1661v2 [math.DS], 2015, pp. 1-15. DOI: 10.48550/arXiv.1408.1661. https://arxiv.org/abs/1408.1661. |
| 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:20.500.12008/54827 |
| publishDate | 2015 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | karina.camps@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 | Iglesias Jorge, Universidad de la República (Uruguay). Facultad de Ingeniería.Lizana Cristina, Universidade Federal da Bahia, BrasilPortela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería.2026-05-07T17:24:56Z2026-05-07T17:24:56Z2015Iglesias, J., Lizana, C. y Portela, A. Robust transitivity for endomorphisms admitting critical points [Preprint] Publicado en : arXiv:1408.1661v2 [math.DS], 2015, pp. 1-15. DOI: 10.48550/arXiv.1408.1661. https://arxiv.org/abs/1408.1661.https://hdl.handle.net/20.500.12008/54827We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different type of open examples of robustly transitive maps in any isotopic class of endomorphisms acting on the two dimensional torus admitting persistent critical points. We also provide some necessary condition for robust transitivity in this setting.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2026-04-29T21:14:11Z No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) ILP15.pdf: 252879 bytes, checksum: c7a58a3c3c4fd43c9f1706b8f0693b2f (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2026-05-07T16:47:40Z (GMT) No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) ILP15.pdf: 252879 bytes, checksum: c7a58a3c3c4fd43c9f1706b8f0693b2f (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2026-05-07T17:24:56Z (GMT). No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) ILP15.pdf: 252879 bytes, checksum: c7a58a3c3c4fd43c9f1706b8f0693b2f (MD5) Previous issue date: 201515 p.application/pdfenengLas 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)Robustly transitive endomorphismsCritical setRobust transitivity for endomorphisms admitting critical pointsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaIglesias, JorgeLizana, CristinaPortela, AldoLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/54827/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/54827/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-835935http://localhost:8080/xmlui/bitstream/20.500.12008/54827/3/license_text00c6a163e62314ee9d2a181a90bf9e84MD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Robust transitivity for endomorphisms admitting critical points Iglesias, Jorge Robustly transitive endomorphisms Critical set |
| status_str | submittedVersion |
| title | Robust transitivity for endomorphisms admitting critical points |
| title_full | Robust transitivity for endomorphisms admitting critical points |
| title_fullStr | Robust transitivity for endomorphisms admitting critical points |
| title_full_unstemmed | Robust transitivity for endomorphisms admitting critical points |
| title_short | Robust transitivity for endomorphisms admitting critical points |
| title_sort | Robust transitivity for endomorphisms admitting critical points |
| topic | Robustly transitive endomorphisms Critical set |
| url | https://hdl.handle.net/20.500.12008/54827 |
