Knobbly but nice

Authors :: Neil Dobbs
Publication Year :: 2019
Publisher :: arXiv, 2019.
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.<br />Comment: 7 pages. Comments welcome