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Authors
Advisor(s)
Abstract(s)
We consider a toral Anosov automorphism G : T → T given by G(x, y) = (ax + y; x), where a > 1 is a fixed integer, and introduce the notion of γ-tiling to prove the existence of a one-to-one correspondence between (i) smooth conjugacy classes of Anosov diffeomorphisms with invariant measure absolutely continuous with respect to the Lebesgue measure and topologically conjugate to G, (ii) affine classes of - tilings and (iii) solenoid functions. Solenoid functions provide a parametrization of the infinite dimensional space of the mathematical objects described in these equivalences. This talk is based on a joint work with Alberto Pinto
Description
Keywords
Dynamical systems Anosov diffeomorphisms Tilings
Pedagogical Context
Citation
Almeida, João P. (2015). Anosov diffeomorphisms and tilings. In International Workshop Progress on Difference Equations. Universidade da Beira Interior, Covilhã