A Certain Family of Self-Similar Sets

被引：1

作者：

Igudesman, K. B. ^{[1
]}

机构：

[1] Kazan VI Lenin State Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2011年 / 55卷 / 02期

关键词：

iterated function systems; attractor; top address; self-similarity; Hausdorff dimension;

D O I：

10.3103/S1066369X11020046

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider an one-parameter family of iterated function systems. For every value of the parameter we find the set of top addresses. We prove that this set is a countable disjoint union of self-similar sets and calculate its Hausdorff dimension.

引用

页码：26 / 38

页数：13

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