Ask a Question

Prefer a chat interface with context about you and your work?

Schmidt games and Markov partitions

Schmidt games and Markov partitions

Let T be a C2-expanding self-map of a compact, connected, C∞, Riemannian manifold M. We correct a minor gap in the proof of a theorem from the literature: the set of points whose forward orbits are nondense has full Hausdorff dimension. Our correction allows us to strengthen the theorem. Combining …