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Abstract(s)
In this talk we present the definition of a golden sequence {ri}i2N. These
golden sequences have the property of being Fibonacci quasi-periodic and determine
a tiling in the real line. We prove a one-to-one correspondence between:
(i) affine classes of golden tilings;
(ii) smooth conjugacy classes of Anosov difeomorphisms, with an invariant
measure absolutely continuous with respect to the Lebesgue measure, that
are topologically conjugate to the Anosov automorphism
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Keywords
Citation
Almeida, João P.; Pinto, Alberto ( 2010). Golden tilings. In International Congress of Mathematicians. Hyderabad, India.
Publisher
International Mathematical Union