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Combinatorics of Bifurcations in Exponential Parameter Space

Lasse Rempe·Dierk Schleicher
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Abstract

We give a complete combinatorial description of the bifurcation structure in the space of exponential maps $z\mapsto\exp(z)+κ$. This combinatorial structure is the basis for a number of important results about exponential parameter space. These include the fact that every hyperbolic component has connected boundary, a classification of escaping parameters, and the fact that all dynamic and parameter rays at periodic addresses land.

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Lasse Rempe, Dierk Schleicher. 2005-09-28. Combinatorics of Bifurcations in Exponential Parameter Space. https://arxiv.org/abs/math/0408011

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