Self-affine sets with fibred tangents

被引：7
|
作者：
Kaenmaki, Antti [1 ]
Koivusalo, Henna [2 ]
Rossi, Eino [1 ]
机构：
[1] Univ Jyvaskyla, Dept Math & Stat, POB 35 MaD, FI-40014 Jyvaskyla, Finland
[2] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2017年 / 37卷
基金：
英国工程与自然科学研究理事会;
关键词：
ASSOUAD DIMENSION; SCENERY FLOW; GEOMETRY; DISTRIBUTIONS;
D O I：
10.1017/etds.2015.130
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study tangent sets of strictly self-affine sets in the plane. If a set in this class satisfies the strong separation condition and projects to a line segment for sufficiently many directions, then for each generic point there exists a rotation O such that all tangent sets at that point are either of the form O((R x C) boolean AND B (0, 1)), where C is a closed porous set, or of the form O((l x {0}) boolean AND B (0, 1)), where l is an interval.
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页码：1915 / 1934
页数：20
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