A Landing Theorem for Periodic Rays of Exponential Maps
Dynamical Systems
2007-12-11 v4 Complex Variables
Abstract
We answer a question of Schleicher by showing that, for an exponential map with nonescaping singular value, every periodic ray lands. This is an analog of a theorem of Douady and Hubbard concerning polynomials. We also prove a partial converse: there are periodic external rays landing at all periodic points, with the exception of at most one periodic orbit.
Cite
@article{arxiv.math/0307371,
title = {A Landing Theorem for Periodic Rays of Exponential Maps},
author = {Lasse Rempe},
journal= {arXiv preprint arXiv:math/0307371},
year = {2007}
}
Comments
10 pages, 2 figures // V4. Final Version - figures and references have been updated