Convergence of Rays with Rational Argument in Hyperbolic Components
Dynamical Systems
2014-06-23 v1
Abstract
In this paper, we use the Carath\'eodory Convergence Theory to prove a landing theorem of rays in hyperbolic components with rational arguments. Although the proof is done in the setting of a family of entire transcendental maps with two singular values, the method can be generalized to many other one parameter families, with some modifications.
Cite
@article{arxiv.1406.5469,
title = {Convergence of Rays with Rational Argument in Hyperbolic Components},
author = {Aslı Deniz},
journal= {arXiv preprint arXiv:1406.5469},
year = {2014}
}
Comments
32 pages, 6 figures