Convergence of Rays with Rational Argument in Hyperbolic Components

Aslı Deniz

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arXiv · 1406.5469

Convergence of Rays with Rational Argument in Hyperbolic Components

Aslı Deniz

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Abstract

In this paper, we use the Carathéodory 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.

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Aslı Deniz. 2014-06-20. Convergence of Rays with Rational Argument in Hyperbolic Components. https://arxiv.org/abs/1406.5469

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