Exact dimension of Furstenberg measures
Resumen:
For a probability measure μ on SLd(R), we consider the Furstenberg stationary measure ν on the space of flags. Under general non-degeneracyconditions, if μ is discrete and if ∑g log ‖g‖ μ(g) < +∞, then the measure νis exact-dimensional.
| 2021 | |
|
MATHEMATICS - DYNAMICAL SYSTEMS ERGODIC THEORY |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44571 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522809909346304 |
|---|---|
| author | Ledrappier, François |
| author2 | Lessa Echeverriarza, Pablo |
| author2_role | author |
| author_facet | Ledrappier, François Lessa Echeverriarza, Pablo |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Ledrappier François, Université de Paris et Sorbonne Université Lessa Echeverriarza Pablo, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática. |
| dc.creator.none.fl_str_mv | Ledrappier, François Lessa Echeverriarza, Pablo |
| dc.date.accessioned.none.fl_str_mv | 2024-06-27T17:27:26Z |
| dc.date.available.none.fl_str_mv | 2024-06-27T17:27:26Z |
| dc.date.issued.none.fl_str_mv | 2021 |
| dc.description.abstract.none.fl_txt_mv | For a probability measure μ on SLd(R), we consider the Furstenberg stationary measure ν on the space of flags. Under general non-degeneracyconditions, if μ is discrete and if ∑g log ‖g‖ μ(g) < +∞, then the measure νis exact-dimensional. |
| dc.description.es.fl_txt_mv | Versión permitida preprint. Publicado también en: Geometric and Functional Analysis, 2023, 33: 245–298. DOI: 10.1007/s00039-023-00631-0 |
| dc.format.extent.es.fl_str_mv | 49 p. |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Ledrappier, F y Lessa Echeverriarza, P. "Exact dimension of Furstenberg measures". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2021 arXiv:2105.11712. dic. 2021, pp.1-49. DOI: 10.48550/arXiv.2105.11712 |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2105.11712 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/44571 |
| 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:2105.11712. dic. 2021, pp.1-49 |
| 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 ERGODIC THEORY |
| dc.title.none.fl_str_mv | Exact dimension of Furstenberg measures |
| 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 | Versión permitida preprint. Publicado también en: Geometric and Functional Analysis, 2023, 33: 245–298. DOI: 10.1007/s00039-023-00631-0 |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_bdfd92c3a894af38c94e9a29791890a6 |
| identifier_str_mv | Ledrappier, F y Lessa Echeverriarza, P. "Exact dimension of Furstenberg measures". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2021 arXiv:2105.11712. dic. 2021, pp.1-49. DOI: 10.48550/arXiv.2105.11712 10.48550/arXiv.2105.11712 |
| 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:20.500.12008/44571 |
| 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 | Ledrappier François, Université de Paris et Sorbonne UniversitéLessa Echeverriarza Pablo, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemática.2024-06-27T17:27:26Z2024-06-27T17:27:26Z2021Ledrappier, F y Lessa Echeverriarza, P. "Exact dimension of Furstenberg measures". [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2021 arXiv:2105.11712. dic. 2021, pp.1-49. DOI: 10.48550/arXiv.2105.11712https://hdl.handle.net/20.500.12008/4457110.48550/arXiv.2105.11712Versión permitida preprint. Publicado también en: Geometric and Functional Analysis, 2023, 33: 245–298. DOI: 10.1007/s00039-023-00631-0For a probability measure μ on SLd(R), we consider the Furstenberg stationary measure ν on the space of flags. Under general non-degeneracyconditions, if μ is discrete and if ∑g log ‖g‖ μ(g) < +∞, then the measure νis exact-dimensional.Submitted by Egaña Florencia (florega@gmail.com) on 2024-06-26T14:58:02Z No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2105.11712v2.pdf: 815759 bytes, checksum: d69c2dad4945d37b256df5420767edfa (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2024-06-27T17:02:27Z (GMT) No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2105.11712v2.pdf: 815759 bytes, checksum: d69c2dad4945d37b256df5420767edfa (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2024-06-27T17:27:26Z (GMT). No. of bitstreams: 2 license_rdf: 25790 bytes, checksum: 489f03e71d39068f329bdec8798bce58 (MD5) 2105.11712v2.pdf: 815759 bytes, checksum: d69c2dad4945d37b256df5420767edfa (MD5) Previous issue date: 202149 p.application/pdfenengarXivMathematics (Dynamical Systems), arXiv:2105.11712. dic. 2021, pp.1-49Las 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 SYSTEMSERGODIC THEORYExact dimension of Furstenberg measuresPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaLedrappier, FrançoisLessa Echeverriarza, PabloLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/44571/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/44571/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-822533http://localhost:8080/xmlui/bitstream/20.500.12008/44571/3/license_text6c3017b7467a142df6448ee4ff57d51eMD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse |
| spellingShingle | Exact dimension of Furstenberg measures Ledrappier, François MATHEMATICS - DYNAMICAL SYSTEMS ERGODIC THEORY |
| status_str | submittedVersion |
| title | Exact dimension of Furstenberg measures |
| title_full | Exact dimension of Furstenberg measures |
| title_fullStr | Exact dimension of Furstenberg measures |
| title_full_unstemmed | Exact dimension of Furstenberg measures |
| title_short | Exact dimension of Furstenberg measures |
| title_sort | Exact dimension of Furstenberg measures |
| topic | MATHEMATICS - DYNAMICAL SYSTEMS ERGODIC THEORY |
| url | https://hdl.handle.net/20.500.12008/44571 |
