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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 75–79 (Mi ivm7306)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Matrices over a semiring of binary relations and $V$-variable fractals

D. S. Biserov, K. B. Igudesman

Chair of Geometry, Kazan (Volga region) Federal University, Kazan, Russia
Full-text PDF (163 kB) Citations (2)
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Abstract: In this paper we prove that $V$-variable fractal sets are limits of infinite products of matrices over the semiring of binary relations on a compact metric space.
Keywords: binary relations, matrices over a semiring, iterated function systems, attractor, $V$-variable fractal.
Presented by the member of Editorial Board: V. V. Shurygin
Received: 15.12.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 63–66
DOI: https://doi.org/10.3103/S1066369X11050100
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: D. S. Biserov, K. B. Igudesman, “Matrices over a semiring of binary relations and $V$-variable fractals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 75–79; Russian Math. (Iz. VUZ), 55:5 (2011), 63–66
Citation in format AMSBIB
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\by D.~S.~Biserov, K.~B.~Igudesman
\paper Matrices over a~semiring of binary relations and $V$-variable fractals
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 75--79
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 63--66
\crossref{https://doi.org/10.3103/S1066369X11050100}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051654570}
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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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