Lacunary self-similar fractal sets and intersection of cantor sets

dc.contributor.author	Igudesman K.
dc.date.accessioned	2018-09-17T21:58:33Z
dc.date.available	2018-09-17T21:58:33Z
dc.date.issued	2003
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/135671
dc.description.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.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.title	Lacunary self-similar fractal sets and intersection of cantor sets
dc.type	Article
dc.relation.ispartofseries-volume	12
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	41
dc.source.id	SCOPUS19950802-2003-12-SID4243159814

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.