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Title: Golden tilings
Author: Pinto, A. A.
Almeida, João Paulo
Portela, A.
Keywords: Anosov diffeomorphisms
Circle diffeomorphisms
Solenoid functions
Issue Date: 2010
Publisher: American Mathematical Society
Citation: Pinto, A. A.; Almeida, João Paulo; Portela, A. (2010) - Golden tilings. Transactions of the American Mathematical Society. ISSN 1088-6850. 364 p. 2261-2280
Abstract: We 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.
Description: Aceite para publicação
ISSN: 1088-6850
Appears in Collections:DEMAT - Artigos em Revistas Indexados ao ISI/Scopus

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