Let λ denote the probability Lebesgue measure on Τ2. For any C2-Anosov diffeomorphism of the 2-torus preserving λ with measure-theoretic entropy equal to topological entropy,we show that the set of points with nondense orbits is hyperplane absolute winning (HAW). This generalizes the result in [18, Theorem 1.4] for C2-expanding maps of the circle.
|Number of pages||8|
|Journal||Real Analysis Exchange|
|Publication status||Published - 2016|
- Nondense orbits
- Anosov diffeomorphisms
- Winning sets