Rotation sets for subshifts of finite type

Krystyna Ziemian

Fundamenta Mathematicae (1995)

  • Volume: 146, Issue: 2, page 189-201
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Ziemian, Krystyna. "Rotation sets for subshifts of finite type." Fundamenta Mathematicae 146.2 (1995): 189-201. <http://eudml.org/doc/212061>.

@article{Ziemian1995,
abstract = {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.},
author = {Ziemian, Krystyna},
journal = {Fundamenta Mathematicae},
keywords = {symbolic dynamics; dynamical system; subshift of finite type; rotation set},
language = {eng},
number = {2},
pages = {189-201},
title = {Rotation sets for subshifts of finite type},
url = {http://eudml.org/doc/212061},
volume = {146},
year = {1995},
}

TY - JOUR
AU - Ziemian, Krystyna
TI - Rotation sets for subshifts of finite type
JO - Fundamenta Mathematicae
PY - 1995
VL - 146
IS - 2
SP - 189
EP - 201
AB - 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.
LA - eng
KW - symbolic dynamics; dynamical system; subshift of finite type; rotation set
UR - http://eudml.org/doc/212061
ER -

References

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