Many intermingled basins in dimension 3
arXiv:1603.03803
Abstract
We construct a diffeomorphism of $\mathbb{T}^3$ admitting any finite or countable number of physical measures with intermingled basins. The examples are partially hyperbolic with splitting $T\mathbb{T}^3 = E^{cs} \oplus E^u$ and can be made volume hyperbolic and topologically mixing.
20 pages, 4 figures. Some changes made after referee report. To appear in Israel J. of Math