Dimension of non-conformal repellers: a survey

被引：23

作者：

Chen, Jianyu ^{[1
]}

Pesin, Yakov ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

NONLINEARITY | 2010年 / 23卷 / 04期

关键词：

SELF-AFFINE FRACTALS; HAUSDORFF DIMENSION; FULL DIMENSION; INVARIANT-MEASURES; SIMILAR SETS; CARPETS; SYSTEMS; MAPS;

D O I：

10.1088/0951-7715/23/4/R01

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is a survey of recent results on the dimension of repellers for expanding maps and limit sets for iterated function systems. While the case of conformal repellers is well understood, the study of non-conformal repellers is in its early stages though a number of interesting phenomena have been discovered, some remarkable results obtained and several interesting examples constructed. We will describe contemporary state of the art in the area with emphasis on some new emerging ideas and open problems.

引用

页码：R93 / R114

页数：22

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