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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Anosov diffeomorphisms Circle diffeomorphisms Renormalization Solenoid functions Tilings
Contexto Educativo
Citação
Pinto, A. A.; Almeida, João P.; Portela, A. (2012). Golden tilings. Transactions of the American Mathematical Society. ISSN 1088-6850. 364 p. 2261-2280
Editora
American Mathematical Society