A certain family of self-similar sets

dc.contributor.author	Igudesman K.
dc.date.accessioned	2018-09-18T20:16:51Z
dc.date.available	2018-09-18T20:16:51Z
dc.date.issued	2011
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/138246
dc.description.abstract	In this paper we consider an one-parameter family of iterated function systems. For every value of the parameter we find the set of top addresses. We prove that this set is a countable disjoint union of self-similar sets and calculate its Hausdorff dimension. © 2011 Allerton Press, Inc.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	attractor
dc.subject	Hausdorff dimension
dc.subject	iterated function systems
dc.subject	self-similarity
dc.subject	top address
dc.title	A certain family of self-similar sets
dc.type	Article
dc.relation.ispartofseries-issue	2
dc.relation.ispartofseries-volume	55
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	26
dc.source.id	SCOPUS1066369X-2011-55-2-SID79953022117

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