Almeida, João P.Pinto, Alberto A.2013-08-132013-08-132010Almeida, João P.; Pinto, Alberto ( 2010). Golden tilings. In International Congress of Mathematicians. Hyderabad, India.http://hdl.handle.net/10198/8583In 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 automorphismengconference object