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Golden tilings

dc.contributor.authorPinto, Alberto A.
dc.contributor.authorAlmeida, João P.
dc.contributor.authorPortela, A.
dc.date.accessioned2010-02-05T10:17:33Z
dc.date.available2010-02-05T10:17:33Z
dc.date.issued2012
dc.description.abstractWe introduce the notion of golden tilings and we prove a oneto- 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.pt
dc.identifier.citationPinto, A. A.; Almeida, João P.; Portela, A. (2012). Golden tilings. Transactions of the American Mathematical Society. ISSN 1088-6850. 364 p. 2261-2280pt
dc.identifier.doi10.1090/S0002-9947-2011-05293-1
dc.identifier.issn1088-6850
dc.identifier.urihttp://hdl.handle.net/10198/1714
dc.language.isoengpt
dc.publisherAmerican Mathematical Societypt
dc.subjectAnosov diffeomorphismspt
dc.subjectCircle diffeomorphismspt
dc.subjectRenormalizationpt
dc.subjectSolenoid functionspt
dc.subjectTilingspt
dc.titleGolden tilingspt
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleTransactions of AMSpt
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.rightsopenAccesspt
rcaap.typearticlept
relation.isAuthorOfPublicationd51506e1-376c-4c70-b68b-f527b54440d2
relation.isAuthorOfPublication.latestForDiscoveryd51506e1-376c-4c70-b68b-f527b54440d2

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