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Lobachevskii Journal of Mathematics, 2003, Volume 12, Pages 41–50 (Mi ljm112)  
This article is cited in 1 scientific paper (total in 1 paper)

Lacunary self-similar fractal sets and intersection of cantor sets

K. B. Igudesman

Kazan State University, Faculty of Mechanics and Mathematics
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Abstract: The problem on intersection of Cantor sets was examined in many papers. To solve this problem, we introduce the notion of lacunary self-similar set. The main difference to the standard (Hutchinson) notion of self-similarity is that the set of similarities used in the construction may vary from step to step in a certain way. Using a modification of method described in [3], [4], we find the Hausdorff dimension of a lacunary self-similar set.
Submitted by: M. A. Malakhaltsev
Received: 24.12.2002
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Language: English
Citation: K. B. Igudesman, “Lacunary self-similar fractal sets and intersection of cantor sets”, Lobachevskii J. Math., 12 (2003), 41–50
Citation in format AMSBIB
\Bibitem{Igu03}
\by K.~B.~Igudesman
\paper Lacunary self-similar fractal sets and intersection of cantor sets
\jour Lobachevskii J. Math.
\yr 2003
\vol 12
\pages 41--50
\mathnet{http://mi.mathnet.ru/ljm112}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1974542}
\zmath{https://zbmath.org/?q=an:1049.28006}
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    • This publication is cited in the following 1 articles:
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