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Golden tilings

dc.contributor.authorPinto, Alberto A.
dc.contributor.authorAlmeida, João P.
dc.contributor.authorPortela, A.
dc.date.accessioned2013-08-26T13:09:39Z
dc.date.available2013-08-26T13:09:39Z
dc.date.issued2008
dc.description.abstractA. Pinto and D. Sullivan [3] proved a one-to-one correspondence between: (i) Cl+ conjugacy classes of expanding circle maps; (ii) solenoid functions and (iii) Pinto-Sullivan's dyadic tilings on the real line. Here, we prove a one-to-one correspondence between: (i) golden tilings; (ii) smooth conjugacy classes of golden diffeomorphism of the circle that are fixed points of renormalization; (iii) smooth conjugacy classes of Anosov difeomorphisms, with an invariant measure absolutely continuous with respect to the Lebesgue measure, that are topologically conjugated to the Anosov automorphism G(x, y) = (x + y, x) and (iv) solenoid functions.
dc.identifier.citationPinto, Alberto A.; Almeida, João P.; Portela, A. (2008). Golden tilings. Braga, Portugalpor
dc.identifier.urihttp://hdl.handle.net/10198/8619
dc.language.isoengpor
dc.peerreviewedyespor
dc.titleGolden tilingspor
dc.typeconference object
dspace.entity.typePublication
oaire.citation.conferencePlaceBraga, Portugalpor
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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