Knobbly but nice
Dynamical Systems
2021-07-01 v1
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.
Keywords
Cite
@article{arxiv.1908.05088,
title = {Knobbly but nice},
author = {Neil Dobbs},
journal= {arXiv preprint arXiv:1908.05088},
year = {2021}
}
Comments
7 pages. Comments welcome