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Pinto's golden tilings

dc.contributor.authorAlmeida, João P.
dc.date.accessioned2013-08-13T09:25:13Z
dc.date.available2013-08-13T09:25:13Z
dc.date.issued2010
dc.description.abstractWe present the definition of a golden sequence. These golden sequences are Fibonacci quasi-periodic and determine a tiling of the real line. We prove the existence of a natural one-to-one correspondence between: (i) Golden sequences; (ii) Smooth conjugacy classes of circle diffeomorphisms with golden rotation number that are smooth fixed points of renormalization, and (iii) Smooth conjugacy classes of Anosov diffeomorphisms that are topologicaly conjugate to the toral automorphism G_A=(x+y,x). The Pinto-Sullivan tilings of the real line relate smooth conjugacy classes of expanding circle maps with 2-adic sequences.
dc.identifier.citationAlmeida, João P. (2010). Pinto's golden tilings. In EURO XXIV. Lisboa, Portugalpor
dc.identifier.urihttp://hdl.handle.net/10198/8584
dc.language.isoengpor
dc.peerreviewedyespor
dc.subjectGolden tilingspor
dc.subjectRenormalizationpor
dc.subjectAnosov diffeomorphismspor
dc.titlePinto's golden tilingspor
dc.typeconference object
dspace.entity.typePublication
oaire.citation.conferencePlaceLisboa, Portugalpor
oaire.citation.titleEURO XXIVpor
person.familyNameAlmeida
person.givenNameJoão P.
person.identifierR-000-K6T
person.identifier.ciencia-id1C14-D6B1-6A78
person.identifier.orcid0000-0002-1286-2527
person.identifier.ridN-8243-2013
person.identifier.scopus-author-id54956738400
rcaap.rightsopenAccesspor
rcaap.typeconferenceObjectpor
relation.isAuthorOfPublicationd51506e1-376c-4c70-b68b-f527b54440d2
relation.isAuthorOfPublication.latestForDiscoveryd51506e1-376c-4c70-b68b-f527b54440d2

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