Let λ denote the probability Lebesgue measure on T2
. 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 ...
Let λ denote the probability Lebesgue measure on T2
. 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.
