The Julia Set and the Fast Escaping Set of a Quasiregular Mapping

被引:0
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作者
Walter Bergweiler
Alastair Fletcher
Daniel A. Nicks
机构
[1] Christian-Albrechts-Universität zu Kiel,Mathematisches Seminar
[2] Northern Illinois University,Department of Mathematical Sciences
[3] University of Nottingham,School of Mathematical Sciences
关键词
Quasiregular mapping; Iteration; Dynamics; Julia set ; Fast escaping set; Primary 37F10; Secondary 30C65; 30D05;
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摘要
It is shown that for quasiregular maps of positive lower order, the Julia set coincides with the boundary of the fast escaping set.
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页码:209 / 218
页数:9
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