Every Anosov map of the torus has a bi-infinite geodesic axis in the Farey graph, making its stable translation length a computable positive integer.
Is a typical bi- P erron algebraic unit a pseudo- A nosov dilatation? Ergodic Theory and Dynamical Systems , pages 1--6, 2017
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On Translation Lengths of Anosov Maps on Curve Graph of Torus
Every Anosov map of the torus has a bi-infinite geodesic axis in the Farey graph, making its stable translation length a computable positive integer.