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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 9, Pages 75–81 (Mi ivm3068)  
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

Top addresses for a certain family of iterated function system on a segment

K. B. Igudesman

Chair of Geometry, Kazan State University, Kazan, Russia
Full-text PDF (164 kB) Citations (4)
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Abstract: We consider a one-parameter family of iterated function systems on the unit segment. For a fixed address $\tau$ we find the set of parameter values such that $\tau$ is the top address.
Keywords: iterated function systems, attractor, top address, $\beta$-expansion, greedy expansion.
Received: 26.12.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 9, Pages 67–72
DOI: https://doi.org/10.3103/S1066369X09090084
Bibliographic databases:
Document Type: Article
UDC: 511.72
Language: Russian
Citation: K. B. Igudesman, “Top addresses for a certain family of iterated function system on a segment”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 9, 75–81; Russian Math. (Iz. VUZ), 53:9 (2009), 67–72
Citation in format AMSBIB
\Bibitem{Igu09}
\by K.~B.~Igudesman
\paper Top addresses for a~certain family of iterated function system on a~segment
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 9
\pages 75--81
\mathnet{http://mi.mathnet.ru/ivm3068}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2655201}
\zmath{https://zbmath.org/?q=an:1182.28012}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 9
\pages 67--72
\crossref{https://doi.org/10.3103/S1066369X09090084}
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  • https://www.mathnet.ru/eng/ivm/y2009/i9/p75
    • This publication is cited in the following 4 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 :46
    References:24
    First page:2
     
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