Golden tilings
Resumen:
We introduce the notion of golden tilings, and we prove a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, (ii) affine classes of golden tilings and (iii) solenoid functions. The solenoid functions give a parametrization of the infinite dimensional space consisting of the mathematical objects described in the above equivalences.
| 2012 | |
| Apoyo financiero de : Fundación Calouste Gulbenkian, PRODYN-ESF, POCTI y POSI de la FCT, y al Ministerio de Ciencia y Tecnología y al Programa de Financiación Plurianual de LIAAD-INESC Porto LA y del Centro de Investigación de Matemáticas de la Universidad de Minho | |
|
Anosov diffeomorphisms Circle diffeomorphisms Dynamics Renormalization Solenoid functions Tilings |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/55052 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1872865415720337408 |
|---|---|
| author | Pinto, A. A. |
| author2 | Almeida, J.P. Portela, Aldo |
| author2_role | author author |
| author_facet | Pinto, A. A. Almeida, J.P. Portela, Aldo |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Pinto A. A., University of Minho, Braga, Portugal. Almeida J.P., Instituto Politécnico de Bragança Escola Superior de Tecnologia e Gestão, Portugal. Portela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería. |
| dc.creator.none.fl_str_mv | Pinto, A. A. Almeida, J.P. Portela, Aldo |
| dc.date.accessioned.none.fl_str_mv | 2026-05-15T14:59:25Z |
| dc.date.available.none.fl_str_mv | 2026-05-15T14:59:25Z |
| dc.date.issued.none.fl_str_mv | 2012 |
| dc.description.abstract.none.fl_txt_mv | We introduce the notion of golden tilings, and we prove a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, (ii) affine classes of golden tilings and (iii) solenoid functions. The solenoid functions give a parametrization of the infinite dimensional space consisting of the mathematical objects described in the above equivalences. |
| dc.description.sponsorship.none.fl_txt_mv | Apoyo financiero de : Fundación Calouste Gulbenkian, PRODYN-ESF, POCTI y POSI de la FCT, y al Ministerio de Ciencia y Tecnología y al Programa de Financiación Plurianual de LIAAD-INESC Porto LA y del Centro de Investigación de Matemáticas de la Universidad de Minho |
| 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 | Pinto, A. , Almeida, J. y Portela, A. "Golden tilings". Transactions of the American Mathematical Society. [en línea]. 2012, vol. 364, no. 5, may. 2012, pp. 2261–2280. |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/55052 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | American Mathematical Society |
| dc.relation.none.fl_str_mv | Transactions of the American Mathematical Society, vol. 364, no. 5, may. 2012, pp. 2261–2280. |
| 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 | Anosov diffeomorphisms Circle diffeomorphisms Dynamics Renormalization Solenoid functions Tilings |
| dc.title.none.fl_str_mv | Golden tilings |
| dc.type.es.fl_str_mv | Artículo |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/article |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
| description | We introduce the notion of golden tilings, and we prove a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, (ii) affine classes of golden tilings and (iii) solenoid functions. The solenoid functions give a parametrization of the infinite dimensional space consisting of the mathematical objects described in the above equivalences. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | COLIBRI_d87c4e3a86a19eda06c242fbfe5d33c0 |
| identifier_str_mv | Pinto, A. , Almeida, J. y Portela, A. "Golden tilings". Transactions of the American Mathematical Society. [en línea]. 2012, vol. 364, no. 5, may. 2012, pp. 2261–2280. |
| 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:20.500.12008/55052 |
| publishDate | 2012 |
| 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 | Pinto A. A., University of Minho, Braga, Portugal.Almeida J.P., Instituto Politécnico de Bragança Escola Superior de Tecnologia e Gestão, Portugal.Portela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería.2026-05-15T14:59:25Z2026-05-15T14:59:25Z2012Pinto, A. , Almeida, J. y Portela, A. "Golden tilings". Transactions of the American Mathematical Society. [en línea]. 2012, vol. 364, no. 5, may. 2012, pp. 2261–2280.https://hdl.handle.net/20.500.12008/55052We introduce the notion of golden tilings, and we prove a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, (ii) affine classes of golden tilings and (iii) solenoid functions. The solenoid functions give a parametrization of the infinite dimensional space consisting of the mathematical objects described in the above equivalences.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2026-04-30T16:51:34Z No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) PAP12.pdf: 1558372 bytes, checksum: d6fc6a97ccb078a07331a461668ee681 (MD5)Rejected by Machado Jimena (jmachado@fing.edu.uy), reason: Jorge, carga el que mandó Victoria nomás, que se puede subir porque es open access. gracias on 2026-05-13T17:12:47Z (GMT)Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2026-05-13T17:35:49Z No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) PAP12.pdf: 665171 bytes, checksum: cc3005f5460a454cfef84b4861ae0313 (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2026-05-15T13:29:00Z (GMT) No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) PAP12.pdf: 665171 bytes, checksum: cc3005f5460a454cfef84b4861ae0313 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2026-05-15T14:59:25Z (GMT). No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) PAP12.pdf: 665171 bytes, checksum: cc3005f5460a454cfef84b4861ae0313 (MD5) Previous issue date: 2012Apoyo financiero de : Fundación Calouste Gulbenkian, PRODYN-ESF, POCTI y POSI de la FCT, y al Ministerio de Ciencia y Tecnología y al Programa de Financiación Plurianual de LIAAD-INESC Porto LA y del Centro de Investigación de Matemáticas de la Universidad de Minho20 p.application/pdfenengAmerican Mathematical SocietyTransactions of the American Mathematical Society, vol. 364, no. 5, may. 2012, pp. 2261–2280.Las 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)Anosov diffeomorphismsCircle diffeomorphismsDynamicsRenormalizationSolenoid functionsTilingsGolden tilingsArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaPinto, A. A.Almeida, J.P.Portela, AldoLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/55052/10/license.txt6429389a7df7277b72b7924fdc7d47a9MD510CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/55052/7/license_urla006180e3f5b2ad0b88185d14284c0e0MD57license_textlicense_texttext/html; charset=utf-835935http://localhost:8080/xmlui/bitstream/20.500.12008/55052/8/license_text00c6a163e62314ee9d2a181a90bf9e84MD58license_rdflicense_rdfapplication/rdf+xml; charset=utf-827293http://localhost:8080/xmlui/bitstream/20.500.12008/55052/9/license_rdfd62648cf14c1e37917d392ac87012955MD59ORIGINALPAP12.pdfPAP12.pdfapplication/pdf665171http://localhost:8080/xmlui/bitstream/20.500.12008/55052/6/PAP12.pdfcc3005f5460a454cfef84b4861ae0313MD5620.500.12008/550522026-05-15 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públicahttps://udelar.edu.uy/https://www.colibri.udelar.edu.uy/oai/requestkarina.camps@seciu.edu.uyUruguayopendoar:47712026-05-15T14:59:25COLIBRI - Universidad de la Repúblicafalse |
| spellingShingle | Golden tilings Pinto, A. A. Anosov diffeomorphisms Circle diffeomorphisms Dynamics Renormalization Solenoid functions Tilings |
| status_str | publishedVersion |
| title | Golden tilings |
| title_full | Golden tilings |
| title_fullStr | Golden tilings |
| title_full_unstemmed | Golden tilings |
| title_short | Golden tilings |
| title_sort | Golden tilings |
| topic | Anosov diffeomorphisms Circle diffeomorphisms Dynamics Renormalization Solenoid functions Tilings |
| url | https://hdl.handle.net/20.500.12008/55052 |
