TOPOLOGICAL ENTROPY FOR ANOSOV MAPS

Seeking conjugate invariant is one of significant and general topics on dynamical systems. Few invariants have been found so far. Topological entropy is one of such invariants. Studies about the topological entropy are concentrated on areas of homeomorphisms and one-dimensional continuous self-maps. In this note we consider Anosov maps, a sort of continuous maps on general compact metric spaces. By using a finite subshift and the largest positive eigenvalue we will calculate the topological entropy for Anosov maps.