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Advisor(s)
Abstract(s)
A. Pinto and D. Sullivan [3] proved a one-to-one correspondence between: (i)
Cl+ conjugacy classes of expanding circle maps; (ii) solenoid functions and (iii)
Pinto-Sullivan's dyadic tilings on the real line. Here, we prove a one-to-one correspondence
between: (i) golden tilings; (ii) smooth conjugacy classes of golden
diffeomorphism of the circle that are fixed points of renormalization; (iii) smooth
conjugacy classes of Anosov difeomorphisms, with an invariant measure absolutely
continuous with respect to the Lebesgue measure, that are topologically conjugated
to the Anosov automorphism G(x, y) = (x + y, x) and (iv) solenoid functions.
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Keywords
Citation
Pinto, Alberto A.; Almeida, João P.; Portela, A. (2008). Golden tilings. Braga, Portugal