Combinatorics of Bifurcations in Exponential Parameter Space
Abstract
Description
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.
48 pages, 5 figures. V2: The article (particularly Section 6 and 7) was revised to improve the exposition; some figures were added. This may have changed the numbers of references to this article in other papers. In this case, please refer to the previous version of the article
48 pages, 5 figures. V2: The article (particularly Section 6 and 7) was revised to improve the exposition; some figures were added. This may have changed the numbers of references to this article in other papers. In this case, please refer to the previous version of the article