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Lobachevskii Journal of Mathematics, 2003, том 12, страницы 41–50
(Mi ljm112)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Lacunary self-similar fractal sets and intersection of cantor sets
K. B. Igudesman Kazan State University, Faculty of Mechanics and Mathematics
Аннотация:
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.
Образец цитирования:
K. B. Igudesman, “Lacunary self-similar fractal sets and intersection of cantor sets”, Lobachevskii J. Math., 12 (2003), 41–50
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ljm112 https://www.mathnet.ru/rus/ljm/v12/p41
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