For a dynamical system (X,f) and a function 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.
@article{bwmeta1.element.bwnjournal-article-fmv146i2p189bwm,
author = {Krystyna Ziemian},
title = {Rotation sets for subshifts of finite type},
journal = {Fundamenta Mathematicae},
volume = {146},
year = {1995},
pages = {189-201},
zbl = {0821.58017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv146i2p189bwm}
}
Ziemian, Krystyna. Rotation sets for subshifts of finite type. Fundamenta Mathematicae, Tome 146 (1995) pp. 189-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv146i2p189bwm/
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