Title of article
Do self-similar sets with positive Lebesgue measure contain an interval?
Author/Authors
Dong، نويسنده , , Keqiang and Shang، نويسنده , , Pengjian، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
5
From page
207
To page
211
Abstract
This paper is concerned with the question whether each self-similar set on R 1 with positive Lebesgue measure contains an interval. We show that it is true for two instances: One is the self-similar set with respect to two similitudes; the other is the uniformly discrete self-similar set with respect to finite similitudes.
Keywords
Iterated function system , Self-similar sets , Interval , Lebesgue measure , Uniformly discrete
Journal title
Applied Mathematics Letters
Serial Year
2010
Journal title
Applied Mathematics Letters
Record number
1526586
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