The fast escaping set for quasiregular mappings

被引：0
|
作者：
Walter Bergweiler
David Drasin
Alastair Fletcher
机构：
[1] Christian-Albrechts-Universität zu Kiel,Mathematisches Seminar
[2] Purdue University,Department of Mathematics
[3] Northern Illinois University,Department of Mathematical Sciences
来源：
Analysis and Mathematical Physics | 2014年 / 4卷
关键词：
Primary 37F10; Secondary 30C65; 30D05;
D O I：
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中图分类号：
学科分类号：
摘要：
The fast escaping set of a transcendental entire function is the set of all points which tend to infinity under iteration as fast as possible compatible with the growth of the function. We study the analogous set for quasiregular mappings in higher dimensions and show, among other things, that various equivalent definitions of the fast escaping set for transcendental entire functions in the plane also coincide for quasiregular mappings. We also exhibit a class of quasiregular mappings for which the fast escaping set has the structure of a spider’s web.
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页码：83 / 98
页数：15
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