Tangent measure distributions of hyperbolic Cantor sets

被引：0

作者：

Daniela Krieg

Peter Mörters

机构：

[1] Friedrich-Schiller-Universität Jena,Mathematisches Institut

[2] Universität Kaiserslautern,Fachbeireich Mathematik

来源：

Monatshefte für Mathematik | 1998年 / 126卷

关键词：

28A80; 28A75; 58F12; Fractals; Cantor sets; Tangent measure distributions; limit models;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Tangent measure distributions were introduced byBandt [2] andGraf [8] as a means to describe the local geometry of self-similar sets generated by iteration of contractive similitudes. In this paper we study the tangent measure distributions of hyperbolic Cantor sets generated by certain contractive mappings, which are not necessarily similitudes. We show that the tangent measure distributions of these sets equipped with either Hausdorff- or Gibbs measure are unique almost everywhere and give an explicit formula describing them as probability distributions on the set of limit models ofBedford andFisher [5].

引用

页码：313 / 328

页数：15

共 17 条

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