REVERSE ITERATED FUNCTION SYSTEM AND DIMENSION OF DISCRETE FRACTALS

被引：5

作者：

Deng, Qi-Rong ^{[1
]}

机构：

[1] Fujiaan Normal Univ, Dept Math, Fuzhou 350007, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2009年 / 79卷 / 01期

关键词：

reverse iterated function system; dimension; discrete invariant set; overlap; SETS;

D O I：

10.1017/S000497270800097X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A reverse iterated function system is defined as a family of expansive maps {T(1), T2, ..., T(m)} on a uniformly discrete set M subset of R(d). An invariant set is defined to be a nonempty set F subset of M satisfying F = boolean OR(m)(j=1) T(j) (F). A computation method for the dimension of the invariant set is given and some questions asked by Strichartz are answered.

引用

页码：37 / 47

页数：11