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GOLDEN TILINGS

Title
GOLDEN TILINGS
Type
Article in International Scientific Journal
Year
2012
Authors
J. P. Almeida
(Author)
Other
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A. Portela
(Author)
Other
The person does not belong to the institution. The person does not belong to the institution. The person does not belong to the institution. Without AUTHENTICUS Without ORCID
Journal
Vol. 364 No. 5
Pages: 2261-2280
ISSN: 0002-9947
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-002-AT5
Abstract (EN): 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.
Language: English
Type (Professor's evaluation): Scientific
Notes: (accepted for publication)
No. of pages: 20
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