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Lobachevskii Journal of Mathematics, 2003, Volume 12, Pages 41–50
(Mi ljm112)
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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
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.
Citation:
K. B. Igudesman, “Lacunary self-similar fractal sets and intersection of cantor sets”, Lobachevskii J. Math., 12 (2003), 41–50
Linking options:
https://www.mathnet.ru/eng/ljm112 https://www.mathnet.ru/eng/ljm/v12/p41
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Abstract page: | 291 | Full-text PDF : | 90 | References: | 63 |
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