CaltechAUTHORS
  A Caltech Library Service

Periodic points and dynamic rays of exponential maps

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

[img]
Preview
PDF
See Usage Policy.

307Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:SCHaasf03

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

Repository Staff Only: item control page