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.

引用

页码：1915 / 1934

页数：20

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