Hyperbolic Components in Exponential Parameter Space
| dc.creator | Schleicher, Dierk | |
| dc.date | 2004-06-13 | |
| dc.date.accessioned | 2026-07-07T05:09:12Z | |
| dc.date.available | 2026-07-07T05:09:12Z | |
| dc.description | We discuss the space of complex exponential maps $\Ek\colon z\mapsto e^{z}+κ$. We prove that every hyperbolic component $W$ has connected boundary, and there is a conformal isomorphism $Φ_W\colon W\to\half^-$ which extends to a homeomorphism of pairs $Φ_W\colon(\ovl W,W)\to(\ovl\half^-,\half^-)$. This solves a conjecture of Baker and Rippon, and of Eremenko and Lyubich, in the affirmative. We also prove a second conjecture of Eremenko and Lyubich. | |
| dc.description | To appear in: Comptes Rendues Acad Sci Paris.-- Detailed description of results can be found in ArXiv math.DS/0311480.-- 6 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/math/0406256 | |
| dc.identifier | http://arxiv.org/abs/math/0406256 | |
| dc.identifier | Comptes Rendus Mathematiques 339/3 (2004) 223-228 | |
| dc.identifier | doi:10.1016/j.crma.2004.05.014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71544 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 30D05, 37F10, 37F15, 37F20, 37F45 | |
| dc.title | Hyperbolic Components in Exponential Parameter Space | |
| dc.type | text |