Problem 112

For a hyperbolic attractor $\Lambda$ of dimension $r$, does $W^s(x) \cap \Lambda $contain a disk of dimension $k := r- Dim W^u (x)?$

Comments

  • Ledrappier (2016-11-14 17:32:40 -0800 -0800):

    Is that $W^u (x)$? Does that make sense?

  • rpotrie (2017-06-23 14:18:10 -0700 -0700):

    When dimension of W^u = 1, the answer is yes, see https://arxiv.org/pdf/1005.1130.pdf