Non-Escaping Points of Zorich Maps

被引：2

作者：

Bergweiler, Walter ^{[1
]}

Ding, Jie ^{[2
]}

机构：

[1] Christian Albrechts Univ Kiel, Math Seminar, Ludewig Meyn Str 4, D-24098 Kiel, Germany

[2] Taiyuan Univ Technol, Sch Math, Taiyuan 030024, Peoples R China

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2021年 / 243卷 / 01期

关键词：

HAUSDORFF DIMENSION; JULIA SETS; AREA;

D O I：

10.1007/s11856-021-2140-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend results about the dimension of the radial Julia set of certain exponential functions to quasiregular Zorich maps in higher dimensions. Our results improve on previous estimates of the dimension also in the special case of exponential functions.

引用

页码：27 / 43

页数：17

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