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Fatou–Julia theory for non-uniformly quasiregular maps

Published online by Cambridge University Press:  16 December 2011

WALTER BERGWEILER
WALTER BERGWEILER*
Affiliation:
Mathematisches Seminar, Christian-Albrechts-Universität zu Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany (email: [email protected])
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Abstract

Many results of the Fatou–Julia iteration theory of rational functions extend to uniformly quasiregular maps in higher dimensions. We obtain results of this type for certain classes of quasiregular maps which are not uniformly quasiregular.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 1 , February 2013 , pp. 1 - 23
Copyright
Copyright © Cambridge University Press 2011

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