VISIBLE PART OF DOMINATED SELF-AFFINE SETS IN THE PLANE

被引：3
|
作者：
Rossi, Eino [1 ]
机构：
[1] Univ Helsinki, Dept Math & Stat, POB 68, Pietari Kalmin Katu 5, FI-00014 Helsinki, Finland
来源：
ANNALES FENNICI MATHEMATICI | 2021年 / 46卷 / 02期
基金：
芬兰科学院;
关键词：
Visible part; self-affine; weak tangent;
D O I：
10.5186/aasfm.2021.4668
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The dimension of the visible part of self-affine sets, that satisfy domination and a projection condition, is being studied. The main result is that the Assouad dimension of the visible part equals to 1 for all directions outside the set of limit directions of the cylinders of the self-affine set. The result holds regardless of the overlap of the cylinders. The sharpness of the result is also being discussed.
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页码：1089 / 1103
页数：15
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