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Pinto's golden tilings
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Autores
Orientador(es)
Resumo(s)
We present an one-to-one correspondence between (i) Pinto's golden tilings;
(ii) smooth conjugacy classes of golden di eomorphism of the circle that are
xed points of renormalization; (iii) smooth conjugacy classes of Anosov difeo-
morphisms, with an invariant measure absolutely continuous with respect to
the Lebesgue measure, that are topologically conjugated to the Anosov au-
tomorphism G(x; y) = (x + y; x); (iv) solenoid functions. As we will explain,
the solenoid functions give a parametrization of the in nite dimensional space
consisting of the mathematical objects described in the above equivalences.
Descrição
Palavras-chave
Anosov diffeomorphisms Arc exchange systems Renormalization Tilings Train tracks
Contexto Educativo
Citação
Almeida, João P. (2010). Pinto's golden tilings. In Discrete Dynamics and Difference Equations: Proceedings of the Twelfth International Conference on Difference Equations and Applications.