Golden tilings

Pinto, Alberto A.; Almeida, João P.; Portela, A.

http://hdl.handle.net/10198/1714

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Authors

Pinto, Alberto A.

Almeida, João P.

Portela, A.

Abstract(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.

Keywords

Anosov diffeomorphisms Circle diffeomorphisms Renormalization Solenoid functions Tilings

URI

http://hdl.handle.net/10198/1714

Citation

Pinto, A. A.; Almeida, João P.; Portela, A. (2012). Golden tilings. Transactions of the American Mathematical Society. ISSN 1088-6850. 364 p. 2261-2280