Uniqueness of minimal unstable lamination for discretized Anosov flows

Guelman, Nancy - Martinchich Rodríguez, Santiago

Resumen:

We consider the class of partially hyperbolic diffeomorphisms f: M→ M obtained as the discretization of topological Anosov flows. We show uniqueness of minimal unstable lamination for these systems provided that the underlying Anosov flow is transitive and not orbit equivalent to a suspension. As a consequence, uniqueness of quasi-attractor is obtained. If the underlying Anosov flow is not transitive we get an analogous finiteness result provided that the restriction of the flow to any of its attracting basic pieces is not a suspension. A similar uniqueness result is also obtained for certain one-dimensional center skew-products.


Detalles Bibliográficos
2020
Dynamical Systems
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/38135
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Guelman, Nancy
author2 Martinchich Rodríguez, Santiago
author2_role author
author_facet Guelman, Nancy
Martinchich Rodríguez, Santiago
author_role author
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dc.contributor.filiacion.none.fl_str_mv Guelman Nancy, Universidad de la República (Uruguay). Facultad de Ingeniería.
Martinchich Rodríguez Santiago, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.
dc.creator.none.fl_str_mv Guelman, Nancy
Martinchich Rodríguez, Santiago
dc.date.accessioned.none.fl_str_mv 2023-07-13T14:23:56Z
dc.date.available.none.fl_str_mv 2023-07-13T14:23:56Z
dc.date.issued.none.fl_str_mv 2020
dc.description.abstract.none.fl_txt_mv We consider the class of partially hyperbolic diffeomorphisms f: M→ M obtained as the discretization of topological Anosov flows. We show uniqueness of minimal unstable lamination for these systems provided that the underlying Anosov flow is transitive and not orbit equivalent to a suspension. As a consequence, uniqueness of quasi-attractor is obtained. If the underlying Anosov flow is not transitive we get an analogous finiteness result provided that the restriction of the flow to any of its attracting basic pieces is not a suspension. A similar uniqueness result is also obtained for certain one-dimensional center skew-products.
dc.format.extent.es.fl_str_mv 20 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Guelman, N. y Martinchich, S. "Uniqueness of minimal unstable lamination for discretized Anosov flows" [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2020, arXiv: 2007.02088v, jul. 2020, pp 1-20
dc.identifier.doi.none.fl_str_mv 10.48550/arxiv.2007.02088
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/38135
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: 2007.02088v, jul. 2020, pp 1-20
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 Uniqueness of minimal unstable lamination for discretized 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 the class of partially hyperbolic diffeomorphisms f: M→ M obtained as the discretization of topological Anosov flows. We show uniqueness of minimal unstable lamination for these systems provided that the underlying Anosov flow is transitive and not orbit equivalent to a suspension. As a consequence, uniqueness of quasi-attractor is obtained. If the underlying Anosov flow is not transitive we get an analogous finiteness result provided that the restriction of the flow to any of its attracting basic pieces is not a suspension. A similar uniqueness result is also obtained for certain one-dimensional center skew-products.
eu_rights_str_mv openAccess
format preprint
id COLIBRI_aa9772cf101f797469013b0bc5b4004a
identifier_str_mv Guelman, N. y Martinchich, S. "Uniqueness of minimal unstable lamination for discretized Anosov flows" [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2020, arXiv: 2007.02088v, jul. 2020, pp 1-20
10.48550/arxiv.2007.02088
instacron_str Universidad de la República
institution Universidad de la República
instname_str Universidad de la República
language eng
language_invalid_str_mv en
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publishDate 2020
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 Guelman Nancy, Universidad de la República (Uruguay). Facultad de Ingeniería.Martinchich Rodríguez Santiago, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2023-07-13T14:23:56Z2023-07-13T14:23:56Z2020Guelman, N. y Martinchich, S. "Uniqueness of minimal unstable lamination for discretized Anosov flows" [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2020, arXiv: 2007.02088v, jul. 2020, pp 1-20https://hdl.handle.net/20.500.12008/3813510.48550/arxiv.2007.02088We consider the class of partially hyperbolic diffeomorphisms f: M→ M obtained as the discretization of topological Anosov flows. We show uniqueness of minimal unstable lamination for these systems provided that the underlying Anosov flow is transitive and not orbit equivalent to a suspension. As a consequence, uniqueness of quasi-attractor is obtained. If the underlying Anosov flow is not transitive we get an analogous finiteness result provided that the restriction of the flow to any of its attracting basic pieces is not a suspension. A similar uniqueness result is also obtained for certain one-dimensional center skew-products.Submitted by Egaña Florencia (florega@gmail.com) on 2023-07-12T18:19:20Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2007.02088v.pdf: 383280 bytes, checksum: 8bd64b62c944b5f58dce4f326f5ec8bd (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2023-07-12T19:17:52Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2007.02088v.pdf: 383280 bytes, checksum: 8bd64b62c944b5f58dce4f326f5ec8bd (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2023-07-13T14:23:56Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2007.02088v.pdf: 383280 bytes, checksum: 8bd64b62c944b5f58dce4f326f5ec8bd (MD5) Previous issue date: 202020 p.application/pdfenengarXivMathematics (Dynamical Systems), arXiv: 2007.02088v, jul. 2020, pp 1-20Las 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 SystemsUniqueness of minimal unstable lamination for discretized Anosov flowsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGuelman, NancyMartinchich Rodríguez, SantiagoLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/38135/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/38135/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-838782http://localhost:8080/xmlui/bitstream/20.500.12008/38135/3/license_texte8c30e04e865334cac2bfcba70aad8cbMD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse
spellingShingle Uniqueness of minimal unstable lamination for discretized Anosov flows
Guelman, Nancy
Dynamical Systems
status_str submittedVersion
title Uniqueness of minimal unstable lamination for discretized Anosov flows
title_full Uniqueness of minimal unstable lamination for discretized Anosov flows
title_fullStr Uniqueness of minimal unstable lamination for discretized Anosov flows
title_full_unstemmed Uniqueness of minimal unstable lamination for discretized Anosov flows
title_short Uniqueness of minimal unstable lamination for discretized Anosov flows
title_sort Uniqueness of minimal unstable lamination for discretized Anosov flows
topic Dynamical Systems
url https://hdl.handle.net/20.500.12008/38135

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