Knobbly but nice
arXiv:1908.05088 · doi:10.1017/etds.2020.33
Abstract
Our main result states that, under an exponential map whose Julia set is the whole complex plane, on each piecewise smooth Jordan curve there is a point whose orbit is dense. This has consequences for the boundaries of nice sets, used in induction methods to study ergodic and geometric properties of the dynamics.
7 pages. Comments welcome