Schleicher, Dierk and Zimmer, Johannes (2003) Periodic points and dynamic rays of exponential maps. Annales Academiae Scientiarum Fennicae. Mathematica, 28 . pp. 327-354. ISSN 1239-629X http://resolver.caltech.edu/CaltechAUTHORS:SCHaasf03
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Abstract
We investigate the dynamics of exponential maps z->e^z ; the goal is a description by means of dynamic rays. We discuss landing properties of dynamic rays and show that in many important cases, repelling and parabolic periodic points are landing points of periodic dynamic rays. For postsingularly finite exponential maps, we use spider theory to show that a dynamic ray lands at the singular value.
| Item Type: | Article |
|---|---|
| Record Number: | CaltechAUTHORS:SCHaasf03 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:SCHaasf03 |
| Alternative URL: | http://www.emis.de/journals/AASF/Vol28/zimmer.html |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 755 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 27 Sep 2005 |
| Last Modified: | 26 Dec 2012 08:41 |
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