Hausdorff dimension in quasiregular dynamics

被引：0
作者：
Bergweiler, Walter [1 ]
Tsantaris, Athanasios [2 ]
机构：
[1] Christian Albrechts Univ Kiel, Math Seminar, Heinrich Hecht Pl 6, D-24098 Kiel, Germany
[2] Univ Helsinki, Dept Math & Stat, POB 68, FIN-00014 Helsinki, Finland
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2025年 / 265卷 / 01期
关键词：
FAST ESCAPING SET; JULIA SETS; ITERATION;
D O I：
10.1007/s11856-024-2664-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the Hausdorff dimension of the fast escaping set of a quasiregular self-map of & Ropf;3 can take any value in the interval [1, 3]. The Hausdorff dimension of the Julia set of such a map is estimated under some growth condition.
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收藏
页码：429 / 465
页数：37
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