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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 2, Pages 31–45 (Mi ivm7231)  
This article is cited in 2 scientific papers (total in 2 papers)

A certain family of self-similar sets

K. B. Igudesman

Chair of Geometry, Kazan State University, Kazan, Russia
Full-text PDF (277 kB) Citations (2)
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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.
Keywords: iterated function systems, attractor, top address, self-similarity, Hausdorff dimension.
Received: 16.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 2, Pages 26–38
DOI: https://doi.org/10.3103/S1066369X11020046
Bibliographic databases:
Document Type: Article
UDC: 517.987+511.72
Language: Russian
Citation: K. B. Igudesman, “A certain family of self-similar sets”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 31–45; Russian Math. (Iz. VUZ), 55:2 (2011), 26–38
Citation in format AMSBIB
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\by K.~B.~Igudesman
\paper A certain family of self-similar sets
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 2
\pages 31--45
\mathnet{http://mi.mathnet.ru/ivm7231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814819}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 2
\pages 26--38
\crossref{https://doi.org/10.3103/S1066369X11020046}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953022117}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :54
    References:43
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