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- Title
NONDENSE ORBITS FOR ANOSOV DIFFEOMORPHISMS OF THE 2-TORUS.
- Authors
Tseng, Jimmy
- Abstract
Let λ denote the probability Lebesgue measure on ...². 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.
- Subjects
RADON integrals; LEBESGUE measure; MEASURE theory; REAL variables; DIFFEOMORPHISMS; DIFFERENTIAL topology
- Publication
Real Analysis Exchange, 2016, Vol 41, Issue 2, p307
- ISSN
0147-1937
- Publication type
Article
- DOI
10.14321/realanalexch.41.2.0307