Self-similar measures associated to IFS with non-uniform contraction ratios

被引：0

作者：

Ngai, SM

Wang, Y

机构：

[1] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

ASIAN JOURNAL OF MATHEMATICS | 2005年 / 9卷 / 02期

关键词：

iterated function system; self-similar measure; absolute continuity; transversality condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the absolute continuity of self-similar measures defined by iterated function systems ( IFS) whose contraction ratios are not uniform. We introduce a transversality condition for a multi-parameter family of IFS and study the absolute continuity of the corresponding self-similar measures. Our study is a natural extension of the study of Bernoulli convolutions by Solomyak, Peres, et al.

引用

页码：227 / 244

页数：18

共 15 条

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