Combinatorics of Bifurcations in Exponential Parameter Space
| dc.creator | Rempe, Lasse | |
| dc.creator | Schleicher, Dierk | |
| dc.date | 2004-08-02 | |
| dc.date | 2005-09-28 | |
| dc.date.accessioned | 2026-07-07T12:32:13Z | |
| dc.date.available | 2026-07-07T12:32:13Z | |
| dc.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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/math/0408011 | |
| dc.identifier | http://arxiv.org/abs/math/0408011 | |
| dc.identifier | In: Transcendental dynamics and complex analysis. In honour of Noel Baker (Rippon and Stallard, eds); London Mathematical Society Lecture Note Series 348, 317-370 (2008). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216711 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Complex Variables | |
| dc.title | Combinatorics of Bifurcations in Exponential Parameter Space | |
| dc.type | text |