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Golden tilings

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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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Almeida, João P.; Pinto, Alberto ( 2010). Golden tilings. In International Congress of Mathematicians. Hyderabad, India.

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International Mathematical Union

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