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.
doi:10.4064/fm-146-2-189-201 fatcat:iawow4vfenbqbkwnjjb2m3473q