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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. https://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
Related URLs:
URLURL TypeDescription
http://www.emis.de/journals/AASF/Vol28/zimmer.htmlPublisherArticle
Additional Information:© 2003 Academia Scientiarum Fennica. We would like to thank John Milnor for the invitation to the Institute for Mathematical Sciences at Stony Brook where this work started, and for the hospitality there. We would also like to thank the Studienstiftung des deutschen Volkes for its support all along and in particular during the stay in Stony Brook. Moreover, we have enjoyed helpful discussions with Noel Baker, Bob Devaney, Adrien Douady, John Hubbard, Lasse Rempe, Phil Rippon and Mitsuhiro Shishura.
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Funding AgencyGrant Number
Studienstiftung des deutschen VolkesUNSPECIFIED
Classification Code:2000 Mathematics Subject Classification: Primary 30D05, 33B10, 37B10, 37C25, 37F10, 37F20.
Record Number:CaltechAUTHORS:SCHaasf03
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:SCHaasf03
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:18 May 2020 18:55

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