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Rotation sets for subshifts of finite type

Krystyna Ziemian — 1995

Fundamenta Mathematicae

For a dynamical system (X,f) and a function φ : X → ℝ N the rotation set is defined. The case when (X,f) is a transitive subshift of finite type and φ depends on the cylinders of length 2 is studied. Then the rotation set is a convex polyhedron. The rotation vectors of periodic points are dense in the rotation set. Every interior point of the rotation set is a rotation vector of an ergodic measure.

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